Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times. Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%.   Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below:   H0:p=0.6; Ha:p>0.6, which is a right-tailed test.   H0:p=0.5; Ha:p<0.5, which is a left-tailed test.   H0:p=0.6; Ha:p≠0.6, which is a two-tailed test.   H0:p=0.5; Ha:p≠0.5, 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 30PPS
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Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times.

Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%.

 

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

Select the correct answer below:

 

H0:p=0.6; Ha:p>0.6, which is a right-tailed test.

 

H0:p=0.5; Ha:p<0.5, which is a left-tailed test.

 

H0:p=0.6; Ha:p≠0.6, which is a two-tailed test.

 

H0:p=0.5; Ha:p≠0.5, which is a two-tailed test.

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