Temple University Testing Hypotheses About Mean and Proportions Excel Project

Temple University

### Question Description

I’m trying to study for my Excel course and I need some help to understand this question.

I give some examples with solutions, finished the questions in activity6 like example

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Investor Return 1 5.49% 2 -1.86% 3 9.39% 4 5 6 1.30% 7.92% 10.36% 7 8.02% 8 8.27% 9 11.29% 10 7.25% 11 8.54% 12 14.43% 13 7.30% 14 8.28% 15 16 17 7.09% 2.31% 11.26% 18 7.72% 19 9.70% 20 1.67% 21 22 23 11.84% 13.54% 11.54% 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 9.66% 6.12% 9.45% 4.38% -1.19% 9.95% 1.41% 6.86% 2.27% 8.69% 11.99% 10.86% 8.93% 7.00% 4.75% 9.45% 3.98% 12.46% 14.53% Sam’s Investment Club is a national organization providing invest Sam’s advertised that the average return for all its members is 10 To show that Sam’s clients have an average return below 10%, th The sample data is in Column B. a. What are the null and alternative hypotheses for this test? b. What is the observed value of the test statistic? c. What is the p-value of the appropriate hypothesis test? d. The SEC requires a 1% level of significance to initiate an inves 43 44 45 46 47 48 49 50 24.20% 12.56% 14.98% 3.54% 8.99% -0.40% 8.73% 9.65% age return below 10%, the rival firm commissioned a random sample of investors with Sam’s Investm cance to initiate an investigation. Based on your answers above, will the SEC investigate? estors with Sam’s Investment Club. House ID 1 2 3 Estimation Result Over Over Under 4 Correct 5 Correct 6 Over 7 8 Over Correct 9 Correct 10 Correct 11 Correct 12 Over 13 Over 14 Correct 15 Over 16 Over 17 Correct 18 19 20 Correct Under Correct 21 Over 22 Over 23 Correct 24 Under 25 Over 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 Over Correct Correct Correct Under Over Correct Over Correct Correct Over Correct Correct Correct Over Correct Correct Explanation of Categories Over House prices estimate was Overestimated. Under House prices estimate was Underestimated. Correct House prices estimate was Correctly estimated. Zillow claims that it overestimates only 35% of marke You suspect that the percentage of inflated house pri A survey of homes is reported. Use the spreadsheet a. What are the null and alternative hypotheses? b. What is the observed value of the Z test statistic? c. What is the Rejection Region for this test statistic d. Does the data support that claim at the α=5% leve 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 Over Correct Correct Over Correct Under Correct Correct Under Correct Over Over Correct Over Over Under Over Correct Over Correct Over Correct Correct Under Correct Under Under Over Over Under Over Over Correct Correct Over Under Over Correct Over Correct Correct Over Under Correct Correct Over Over 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 Over Under Correct Correct Correct Correct Under Under Correct Correct Over Under Under Correct Under Correct Correct Over Over Over Over Correct Correct Over Correct Over Over Over Over Over Over Over Under Correct Over Over Over Over Correct Correct Over Over Correct Under Under Over Correct 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 Correct Under Correct Correct Over Correct Under Correct Over Over Over Over Over Over Under Over Correct Over Correct Over Over Under Correct Over Correct Over Over Correct Under Under Under Correct Over Under Over Over Correct Over Over Correct Correct Over Under Correct Correct Over Correct 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 Under Over Correct Correct Correct Correct Correct Over Under Over Over Correct Correct Correct Under Correct Over Correct Correct Under Over Over Over Over Correct Under Over Correct Over Correct Correct Under Correct Over Correct Correct Correct Over Over Under Correct Over Correct Correct Over Under Correct 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 Correct Over Over Correct Under Correct Over Under Over Correct Over Correct Under Under Over Over Correct Over Over Over Over Correct Over Correct Over Under Correct Correct Over Over Over Correct Over Over Under Correct Correct Correct Over Over Over Correct Under Over Over Correct Under 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 Correct Over Correct Over Correct Correct Over Over Correct Correct Under Correct Over Correct Over Correct Over Over Over Correct Over Over Correct Correct Over Correct Correct Under Correct Under Over Under Over Correct Correct Over Correct Correct Under Under Correct Under Correct Over Correct Under Over 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 Correct Correct Correct Under Under Over Correct Over Correct Correct Under Under Correct Over Under Correct Correct Under Correct Correct Over Correct Correct Over Correct Over Correct Under Correct Under Under Correct Under Over Correct Correct Correct Over Under Over Over Over Over Under Correct Correct Over 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 Correct Under Correct Correct Correct Under Over Over Over Over Correct Over Correct Correct Over Correct Over Correct Over Over Over Correct Over Under Correct Over Correct Over Over Under Under Correct Over Over Correct Correct Over Correct Over Under Correct Under Correct Correct Correct Over Correct 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 Correct Over Under Over Correct Under Over Under Correct Correct Under Over Correct Under Over Over Over Correct Correct Over Over Over Correct Correct Under Over Correct Over Over Correct Over Correct Correct Over Over Over Correct Correct Over Correct Over Correct Over Correct Over Correct Over 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 Correct Under Over Over Over Under Correct Under Correct Correct Over Over Under Under Correct Under Correct Over Correct Correct Correct Correct Under Over Correct Correct Under Correct Under Correct Correct Correct Over Correct Under Over Under Correct Over Over Correct Correct Over Correct Under Correct Over 513 514 515 516 517 Under Correct Correct Over Over Use the spreadsheet data to test your research hypothesis that the percentage of price overestimate age of price overestimates exceeds 35%. Team #: Trap spacing in meters 1 82 2 79 3 58 4 92 5 113 6 72 Trap spacing measurements​ (in meters) for a random sample of a few teams of lobster fish Researchers want to estimate the average trap spacing measurements for the population o a. Provide the researchers with an estimate of the target parameter using a 95% confiden b. The prevailing opinion (status quo estimate) at the Fish and Game Department is that s Does your answer to part (a) show convincing evidence (α=5%) that the prevailing opinion 7 86 8 96 w teams of lobster fishermen fishing in a certain region are given above. ts for the population of lobster fishermen this region. using a 95% confidence interval. e Department is that spacing between traps is 65 meters. he prevailing opinion is incorrect? Data Explanation Student 1 2 Test Score Improvements Math Verbal -136 88 -34 42 3 108 -21 4 -8 24 5 23 72 6 7 -2 120 -14 3 8 113 -42 9 -45 27 10 -73 19 11 -54 13 12 -9 -17 13 79 -165 14 -47 37 15 16 17 18 130 -42 -30 1 27 82 46 140 19 -135 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 -93 89 38 37 172 -16 22 34 -110 77 -152 131 28 -34 84 -62 51 -69 30 92 -2 13 -22 -24 -167 80 30 0 -54 4 51 40 2 0 27 -12 20 4 -31 91 -9 21 Student #1 scored 672 on the first Math test an Student #1 scored 722 on the first Verbal test a A study was conducted of 150 students Each student paid a private tutor to help The changes in both the Mathematics an Students with a positive score change ha (a) Does the data show strong evidenc What is the appropriate rejection region (b) Does the data show strong evidenc What is the appropriate p-value and con 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 46 -13 -29 -54 40 19 28 22 94 40 -2 109 11 32 141 -42 61 58 -74 92 -7 -65 96 34 101 123 12 141 -13 -4 -85 -26 26 -79 45 89 141 -15 121 -74 56 71 -79 -92 81 -18 -184 -9 -5 17 -9 -20 18 44 31 80 -40 43 -48 62 -2 81 -12 -52 57 33 46 36 33 50 36 -14 -7 -21 37 -7 77 17 46 55 -29 -7 -35 -17 -4 61 -81 -64 -4 -54 3 -65 -45 157 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 -8 96 -131 8 36 -68 17 87 -63 21 -11 128 -90 139 -8 -17 123 -66 53 48 16 -5 50 -32 -61 -3 38 35 -1 -44 147 -3 44 36 40 58 32 96 103 -6 -9 18 43 138 -36 64 132 47 -64 45 3 -64 21 -1 19 -5 64 -86 -19 -21 2 -32 6 -110 6 30 135 -36 -32 41 126 -35 40 -3 23 33 37 -24 69 28 -42 -27 -30 2 47 -14 112 21 -27 -66 34 -55 23 128 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 21 -23 -74 68 40 86 55 53 80 -29 -142 -120 44 155 156 26 16 -95 -41 -6 -7 -50 20 -27 -60 60 -35 -117 -28 -55 7 -31 672 on the first Math test and 536 on the second Math test for a decrease in score of 136. 722 on the first Verbal test and 688 on the second Verbal test for a decrease in score of 34. aid a private tutor to help them improve their scores when tested a second time. data show strong evidence (at α=5%) of an improved average Mathematics score for students who p data show strong evidence (at α=5%) of an improved average Verbal score for students who pay a p score for students who pay a private tutor? Fish Wt (oz) This data was sampled from a certain population of fish. A biologist claims this fish p 9.3 10.3 12.1 11.7 9.8 9.8 11.0 9.5 7.1 9.8 9.8 8.3 10.1 9.0 10.3 8.9 10.7 10.6 8.7 9.3 10.1 9.5 9.6 10.2 10.8 10.4 8.8 8.7 9.4 9.3 7.6 9.8 10.3 10.0 9.8 10.7 8.8 9.2 10.8 9.3 11.0 7.5 9.2 Do the data support that claim at the α=1% level of significance? a) What are the null and alternative hypotheses? H0 : HA: µ= µ< 10 10 oz oz b) What is the sample mean, sample standard deviation and sample size for Use these to find the z-statistic (test statistic). sample size= sample mean= sample SD= 61.0 9.68 0.960 Observed Z= -2.601 c) What is the rejection region? Reject Null : If Observed Z < -2.33 d) What is the P-value of the test statistic? p-value= P( Z < -2.601)= 0.46% e) Does the data support that claim at the α=1% level of significance? Reject Null. Statistically significant evidence that average fish weight is less than 10 oz. 10.2 9.0 8.1 9.1 10.1 9.9 11.0 9.2 9.4 9.4 9.7 8.3 9.7 10.4 10.7 10.6 9.1 9.7 ologist claims this fish population has a mean weight below 10 oz. Start End 6:28 6:36 3/27/2020 14:42 15.2 8.4 9.2 7.7 -0.5 3.2 18.9 -1.6 22.9 9.1 11.9 16.2 8.2 Conduct a hypothesis test to determine if μ, the average annu a. State the null and alternative hypotheses. H0 : µ= 0 HA: µ> 0 b. Calculate the test statistic and rejection region at the sample size= 13 sample mean= 9.908 sample SD= 7.18 Observed t= 4.98 Reject Null : If Observed t > c. Calculate the p-value. p-value= P( t > 4.98)= d. State the conclusion at the 5% significance level. Reject Null Statistically significant evidence that the average return for sto start end μ, the average annual return, is positive. hypotheses. d rejection region at the 5% significance level. 1.782 0.02% % significance level. e average return for stock screeners is poitive. 6:50 7:00 3/27/2020 14:42 a. State the null and alternative hypotheses. H0: p = 61% HA: p < 61% b. Calculate the test statistic and rejection region. sample proportion= p-hat= 57.71% SD(p-hat)= 1.71% Observed Z= -1.92 Reject Null : If Observed Z < -2.33 c. Calculate the p-value. p-value= P( Z < -1.92)= 2.72% d. State the conclusion. Fail to Reject Null Insufficient evidence to conclude that the proportion of organic growers is less th End 7:20 3/27/2020 14:42 p population proportion that are orgainc or transitioning to become organic ganic growers is less that 61%. ...
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Investor

Return

1

5.49%

2

-1.86%

3

9.39%

4
5
6

1.30%
7.92%
10.36%

7
8

8.02%
8.27%

H0:

𝝁 = 0.10

9

11.29%

Ha:

𝝁 < 0.10

10

7.25%

11

8.54%

12
13
14
15
16
17

14.43%
7.30%
8.28%
7.09%
2.31%
11.26%

b. What is the observed value of the test statistic?

18

7.72%

c. What is the p-value of the appropriate hypothesis test?

19
20

9.70%
1.67%

21
22
23

11.84%
13.54%
11.54%

24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43

9.66%
6.12%
9.45%
4.38%
-1.19%
9.95%
1.41%
6.86%
2.27%
8.69%
11.99%
10.86%
8.93%
7.00%
4.75%
9.45%
3.98%
12.46%
14.53%
24.20%

Sam’s Investment Club is a national organization providing investm
Sam’s advertised that the average return for all its members is 10%
To show that Sam’s clients have an average return below 10%, the
The sample data is in Column B.
a. What are the null and alternative hypotheses for this test?

Sample mean:
Sample SD:
standard error:
z stat test statistic

p-value:

8.13%
0.047059
0.006655
-2.81223

0.00246

d. The SEC requires a 1% level of significance to initiate an invest

The SEC will investigate since the null hypothesis that the average return of Sam's Investme
investment Club has an average return of less than 10% at a 1% level of significance.

44
45
46
47
48
49
50

12.56%
14.98%
3.54%
8.99%
-0.40%
8.73%
9.65%

n providing investment advice to its members.
its members is 10%. A rival firm does not believe this claim.
urn below 10%, the rival firm commissioned a random sample of investors with Sam’s Investment C

s for this test?

hesis test?

to initiate an investigation. Based on your answers above, will the SEC investigate?

e return of Sam's Investment Club is 10% can be rejected. There is sufficient evidence to claim that Sam's
vel of significance.

Sam’s Investment Club.

House ID
1
2
3

Estimation Result
Over
Over
Under

Explanation of Categories
Over House prices estimate was Overestimated.
Under House prices estimate was Underestimated.
Correct House prices estimate was Correctly estimated.

4

Correct

5

Correct

6

Over

7
8

Over
Correct

9
10

Correct
Correct

H0:

p = 0.35

11

Correct

Ha:

p > 0.35

12

Over

13

Over

14
15
16
17

Correct
Over
Over
Correct

18
19
20

Correct
Under
Correct

21

Over

22
23

Over
Correct

24

Under

25

Over

26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43

Over
Correct
Correct
Correct
Under
Over
Correct
Over
Correct
Correct
Over
Correct
Correct
Correct
Over
Correct
Correct
Over

Zillow claims that it overestimates only 35% of market
You suspect that the percentage of inflated house pric
A survey of homes is reported. Use the spreadsheet
a. W...

svantass (386)
UCLA
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Anonymous
Return customer, been using sp for a good two years now.

Anonymous
Thanks as always for the good work!

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Excellent job

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