Students at a college were surveyed about whether they are in favor of or opposed to an increase of fees in order to build a new sports complex.  The results of the student responses, broken down by gender, are found in the following table.                                 Male                Female In favor                 126                   105 Opposed                84                    115 Is the proportion of male students in favor of the fee increase significantly different from the proportion of female students in favor of the fee?  Carry out a significance test of this problem at alpha = .05. Provide each of the following in your answer.  a) State the null and alternative hypotheses for this problem situation.  Use correct notation. b) Compute the test statistic  c) List the critical value(s) and make a decision by comparing the test statistic to the critical value(s). d) List the p-value and make a decision by comparing the p-value to alpha. e) In 1-2 complete sentences, state the conclusion of this test in the context of the problem situation.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Topic Video
Question

Students at a college were surveyed about whether they are in favor of or opposed to an increase of fees in order to build a new sports complex.  The results of the student responses, broken down by gender, are found in the following table.   

                             Male                Female

In favor                 126                   105

Opposed                84                    115

Is the proportion of male students in favor of the fee increase significantly different from the proportion of female students in favor of the fee?  Carry out a significance test of this problem at alpha = .05.

Provide each of the following in your answer. 

a) State the null and alternative hypotheses for this problem situation.  Use correct notation.

b) Compute the test statistic 

c) List the critical value(s) and make a decision by comparing the test statistic to the critical value(s).

d) List the p-value and make a decision by comparing the p-value to alpha.

e) In 1-2 complete sentences, state the conclusion of this test in the context of the problem situation.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL