Description
Purpose of Assignment
The purpose of this assignment is to develop students' abilities to combine the knowledge of descriptive statistics covered in Weeks 1 and 2 and one-sample hypothesis testing to make managerial decisions. In this assignment, students will learn how statistical analysis is used in predicting an election winner in the first case. In the second case, students will conduct a hypothesis test to decide whether or not a shipping plan will be profitable.
Assignment Steps
Resources: Microsoft Excel®, Case Study Scenarios, SpeedX Payment Times
Develop a 700- to 1,050-word statistical analysis based on the Case Study Scenarios and SpeedX Payment Times.
Include answers to the following:
Case 1: Election Results
- Use 0.10 as the significance level (α).
- Conduct a one-sample hypothesis test to determine if the networks should announce at 8:01 P.M. the Republican candidate George W. Bush will win the state.
Case 2: SpeedX
- Use 0.10 and the significance level (α).
- Conduct a one-sample hypothesis test and determine if you can convince the CFO to conclude the plan will be profitable.
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Explanation & Answer
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Hypothesis test for proportion vs hypothesized value
Observed Hypothesized
0,532
0,5 p (as decimal)
407/765
383/765 p (as fraction)
407,
382,5 X
765
765 n
0,018 std. error
1,77 z
0,0382 p-value (one-tailed, upper)
0,5023 confidence interval 90.% lower
0,5617 confidence interval 90.% upper
0,0297 margin of error
Payment
27
24
14
39
13
31
26
33
13
23
17
24
18
34
13
23
16
32
30
29
21
19
22
14
27
20
11
20
30
24
18
21
24
18
27
27
27
21
22
23
18
17
23
26
20
Hypothesis Test: Mean vs. Hypothesized Valu
22
21,632
6
0,40452
220
-0,90972
0,1815
1,645
20,96656
22,29744
0,665435
20
22
21
13
36
18
25
26
19
16
28
16
20
16
14
25
14
35
17
16
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19
17
18
22
23
22
27
23
23
21
20
18
29
32
27
15
21
26
32
20
29
25
15
21
30
24
23
14
18
22
37
24
35
29
24
17
27
15
19
12
19
21
19
21
15
17
20
21
31
19
27
19
26
26
26
23
12
20
34
21
24
20
21
16
23
13
19
18
31
29
23
28
19
19
22
24
21
23
14
25
17
22
21
18
22
15
27
14
23
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24
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30
24
17
27
24
17
10
25
15
13
29
21
22
11
25
30
23
18
19
18
14
21
22
17
19
23
31
26
25
15
16
28
27
22
12
25
12
21
19
26
16
21
30
16
25
13
11
13
22
28
14
21
30
19
14
31
9
14
21
28
vs. Hypothesized Value
hypothesized value
mean Payment
std. dev.
std. error
n
z
p-value (one-tailed, lower)
Critical value
confidence interval 90.% lower
confidence interval 90.% upper
margin of error
0,03793
0,36944
Running head: HYPOTHESIS TESTING
1
Hypothesis testing
Name
Institution
Date
HYPOTHESIS TESTING
2
Case1: Elections results
During an election period, TV networks suspend their normal programming to cover
elections. For senatorial or presidential elections, the networks go beyond reporting to predict the
winning candidate. Data is collected through interviewing voters who exit polling booths and
then hypothesis testing is employed in order to determine if the leading candidate will emerge
the victor. In this case, the data was collected for the 2 leading presidential candidates; Al Gore
and George Bush, in the California state. A sample of 765 voters was selected, with 358 votes
cast were for Al Gore, and 407 votes cast for Bush. For a presidential candidate to be anno...