An educational researcher wishes to know if there is a difference in academic performance for college freshmen that live on campus and those that commute. Data was collected from 253 students. Can we conclude that freshman housing location and academic performance are related? Location Average BelowAverage Above Average Total On campus 99 33 33 165 Off campus 26 31 31 88 Total 125 64 64 253 Step 1. State the null and alternative hypothesis. H0: Ha: Step 2. Find the expected value for the number of students that live on campus and have academic performance that is average. Round your answer to one decimal place. Answer: Step 3. Find the expected value for the number of students that live on campus and have academic performance that is below average. Round your answer to one decimal place. Answer: Step 4. Find the value of the test statistic. Round your answer to three decimal places. Answer: Step 5. Find the degrees of freedom associated with the test statistic for this problem. Answer: Step 6. Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places. Answer: Step 7. Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance. Step 8. State the conclusion of the hypothesis test at the 0.025 level of significance.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Topic Video

Question

An educational researcher wishes to know if there is a difference in academic
performance for college freshmen that live on campus and those that commute. Data was
collected from 253 students. Can we conclude that freshman housing location and academic performance are related?

Location Average BelowAverage Above Average Total
On campus 99 33 33 165
Off campus 26 31 31 88
Total 125 64 64 253

Step 1. State the null and alternative hypothesis.
H0:

Ha:

Step 2. Find the expected value for the number of students that live on campus and have
academic performance that is average. Round your answer to one decimal place.
Answer: ____________________

Step 3. Find the expected value for the number of students that live on campus and have
academic performance that is below average. Round your answer to one decimal place.
Answer: ____________________

Step 4. Find the value of the test statistic. Round your answer to three decimal places.
Answer: ____________________

Step 5. Find the degrees of freedom associated with the test statistic for this problem.
Answer: ____________________

Step 6. Find the critical value of the test at the 0.025 level of significance. Round your
answer to three decimal places.
Answer: ____________________

Step 7. Make the decision to reject or fail to reject the null hypothesis at the 0.025 level
of significance.

Step 8. State the conclusion of the hypothesis test at the 0.025 level of significance.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.