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 abou 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 significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this 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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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 significance to determine if there is convincing evidence that the distribution of opinion
in the population is equally distributed across the three options. What is the value of the chi-square test statistic and
the P-value of this test?
Find the chi-square table here.
O x = 7.77, P-value is between 0.02 and 0.025
O x = 7.77, P-value is between 0.05 and 0.10
O 2 = 8.54, P-value is between 0.01 and 0.02
O x? = 8.54, P-value is between 0.025 and 0.05
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 significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test? Find the chi-square table here. O x = 7.77, P-value is between 0.02 and 0.025 O x = 7.77, P-value is between 0.05 and 0.10 O 2 = 8.54, P-value is between 0.01 and 0.02 O x? = 8.54, P-value is between 0.025 and 0.05
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