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After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?" The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of the following hypotheses: The chi-square test statistic is x2 = 7.77 and the P. value is between 0.02 and 0.025. Because the P-valu is less than 0.05 the public relations department rejec the null hypothesis. Because the null hypothesis is rejected, they would like to know which term contributed the significance of the test. Complete a follow-up analysis. Which term contributed the most te the significance of this test? Were there more or fewe people with this opinion than expected? approve, more than expected Họ: Customer opinion is equally distributed across the three options. approve, fewer than expected Hạ: Customer opinion is not equally distributed across the three options. O disapprove, more than expected O disapprove, fewer than expected

After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?" The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of the following hypotheses: The chi-square test statistic is x2 = 7.77 and the P. value is between 0.02 and 0.025. Because the P-valu is less than 0.05 the public relations department rejec the null hypothesis. Because the null hypothesis is rejected, they would like to know which term contributed the significance of the test. Complete a follow-up analysis. Which term contributed the most te the significance of this test? Were there more or fewe people with this opinion than expected? approve, more than expected Họ: Customer opinion is equally distributed across the three options. approve, fewer than expected Hạ: Customer opinion is not equally distributed across the three options. O disapprove, more than expected O disapprove, fewer than expected

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?" The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of the following hypotheses: The chi-square test statistic is x? = 7.77 and the P- value is between 0.02 and 0.025. Because the P-value is less than 0.05 the public relations department rejects the null hypothesis. Because the null hypothesis is rejected, they would like to know which term contributed the significance of the test. Complete a follow-up analysis. Which term contributed the most to the significance of this test? Were there more or fewer people with this opinion than expected? O approve, more than expected Ho: Customer opinion is equally distributed across the three options. O approve, fewer than expected Hạ: Customer opinion is not equally distributed across the three options. O disapprove, more than expected O disapprove, fewer than expected
Transcribed Image Text:After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?" The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of the following hypotheses: The chi-square test statistic is x? = 7.77 and the P- value is between 0.02 and 0.025. Because the P-value is less than 0.05 the public relations department rejects the null hypothesis. Because the null hypothesis is rejected, they would like to know which term contributed the significance of the test. Complete a follow-up analysis. Which term contributed the most to the significance of this test? Were there more or fewer people with this opinion than expected? O approve, more than expected Ho: Customer opinion is equally distributed across the three options. O approve, fewer than expected Hạ: Customer opinion is not equally distributed across the three options. O disapprove, more than expected O disapprove, fewer than expected
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After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of the following hypotheses:

H0: Customer opinion is equally distributed across the three options.

Ha: Customer opinion is not equally distributed across the three options.

The chi-square test statistic is χ2 = 7.77 and the P-value is between 0.02 and 0.025. What conclusion should the public relations department make? Use α =0.05.

Reject H0. There is convincing evidence that the distribution of customer opinion is equally distributed across the three options.
Reject H0. There is convincing evidence that the distribution of customer opinion is not equally distributed across the three options.
Fail to reject H0. There is convincing evidence that the distribution of customer opinion is equally distributed across the three options.
Fail to reject H0. There is convincing evidence that the distribution of customer opinion is not equally distributed across the three options.
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