### Question Description

Probability Reasoning statistic homework I attached the file below. If anyone is willing to work on it for me that would me very helpful.

### Unformatted Attachment Preview

## Final Answer

Attached.

7. Interpretation of confidence interval:

We are 95% confident that the true population parameter โpercentage of seniors minus percentage of

freshman getting their first choice of coursesโ is between 29.5% and 38.5%.

8.

From given data,

๐ฬ = 0.25

๐๐๐๐๐๐ ๐๐ ๐ธ๐๐๐๐(๐ธ) = 0.03

For 95% confidence interval, ๐ผ = 0.05

For ๐ผ = 0.05, ๐ง๐ผ = 1.96

2

๐ง๐ผ

Sample size (๐) = ๐ฬ (1 โ ๐ฬ ) (

2

1.96 2

) = 800.33

) = 0.25 โ 0.75 โ (

๐ธ

0.03

2

Round up ๐ to nearest integer, ๐ = 801

So, 801 students need to be surveyed from 95% confidence interval to be in 3% points.

9/10/11.

If proportion of woman and man abstaining from drinking alcohol are respectively ๐1 and ๐2 :

Null Hypothesis ๐ฏ๐ : ๐1 โค ๐2

Alternative Hypothesis ๐ฏ๐: ๐1 > ๐2

What test did you run: z-test

To calculate p-value:

๐

ฬ1 =

264

= 0.2316

1140

๐

ฬ2 =

214

= 0.1783

1200

We will use ๐1 โ ๐2 = 0 (๐๐ ๐๐๐ ๐๐ ๐ ๐๐๐ ๐๐ ๐๐ข๐๐ โ๐ฆ๐๐๐กโ๐๐ ๐...

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors