5 After a product recall, a company solicits feedback froma random sample of 100 customers regarding theiropinion about the company since the recall. Customerswere asked, "Do you approve, disapprove, or have noopinion about the company?" The public relationsdepartment is concerned that the opinions may beequally distributed across these three options. Thesurvey reveals that 38 customers approve, 45disapprove, and 17 have no opinion. They decide tocarry 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-valueis less than 0.05 the public relations department rejectsthe null hypothesis. Because the null hypothesis isrejected, they would like to know which termcontributed the significance of the test. Complete afollow-up analysis. Which term contributed the most tothe significance of this test? Were there more or fewerpeople with this opinion than expected?O approve, more than expectedHo: Customer opinion is equally distributed across thethree options.O approve, fewer than expectedHạ: Customer opinion is not equally distributed acrossthe three options.O disapprove, more than expectedO disapprove, fewer than expected

Answered: After a product recall, a company…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.

H_a: 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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