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 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) H0:p=0.2; Ha:p≠0.2, which is a two-tailed test.
(b) z0=1.061, p-value is = 0.289
(c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.
Select all that apply:
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We reject H0.
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We fail to reject H0.
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At the 5% significance level, the data provide sufficient evidence to conclude the true proportion is different than 20%.
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At the 5% significance level, the data do not provide sufficient evidence to conclude the true proportion is different than 20%.
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