A CEO wondered if her company received either more or less complaints from its workers on Monday than any other day. She figured that if it were truly random, 20% of the complaints should have been filed on Monday. She randomly selected 50 complaints and checked the day that they were submitted. In those complaints 13 were submitted on a Monday. The CEO conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of complaints submitted on a Monday is different from 20%. (a) Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below: H0:p=0.26; Ha:p>0.26, which is a right-tailed test. H0:p=0.2; Ha:p<0.2, which is a left-tailed test. H0:p=0.26; Ha:p≠0.26, which is a two-tailed test. H0:p=0.2; Ha:p≠0.2, which is a two-tailed test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A CEO wondered if her company received either more or less complaints from its workers on Monday than any other day. She figured that if it were truly random, 20% of the complaints should have been filed on Monday. She randomly selected 50 complaints and checked the day that they were submitted. In those complaints 13 were submitted on a Monday.

The CEO conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of complaints submitted on a Monday is different from 20%.

 

(a)  Which answer choice shows the correct null and alternative hypotheses for this test?

Select the correct answer below:

H0:p=0.26; Ha:p>0.26, which is a right-tailed test.

H0:p=0.2; Ha:p<0.2, which is a left-tailed test.

H0:p=0.26; Ha:p≠0.26, which is a two-tailed test.

H0:p=0.2; Ha:p≠0.2, which is a two-tailed test.

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