Is there a link between exercise and level of education? Independent random samples of adults from group A (college graduates) and group B (no high-school diploma) gave the following information about percentage who exercise regularly. (Reference: Centers for Disease Control and Prevention.) A (%) 52.8 63.9 53.9 65.5 48.9 50.3 46.7 32.6 48.1 46.3 32.2   B (%) 41.1 43.1 51.1 43.8 38.5 48.7 32.8 37.2 34.5 48.5 39.6 30.5 Use a 5% level of significance to test the claim that there is no

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Is there a link between exercise and level of education? Independent random samples of adults from group A (college graduates) and group B (no high-school diploma) gave the following information about percentage who exercise regularly. (Reference: Centers for Disease Control and Prevention.)

A (%) 52.8 63.9 53.9 65.5 48.9 50.3 46.7 32.6 48.1 46.3 32.2  
B (%) 41.1 43.1 51.1 43.8 38.5 48.7 32.8 37.2 34.5 48.5 39.6 30.5

Use a 5% level of significance to test the claim that there is no difference in the exercise rate distributions according to education level.

(a) What is the level of significance?
 
(b) Compute the sample test statistic. (Use 2 decimal places.)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
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