Question

A manufacturer of floor polish conducted a consumer-preference experiment to determine which of five different floor polishes was the most appealing in appearance. A sample of 100 consumers viewed five patches of flooring that had each received one of the five polishes. Each consumer indicated the patch he or she preferred. The lighting and background were approximately the same for all patches. The results are given below. Solve the following using the p-value approach and solve using the classical approach.

Polish	A	B	C	D	E	Total
Frequency	24	16	14	20	26	100

(c) Complete the hypothesis test using α = 0.10.

(i) Find the test statistic. (Round your answer to two decimal places.)


(ii) Find the p-value. (Round your answer to four decimal places.)

Answer 1

The statistical software output for this problem is :

Chi-Square goodness-of-fit results:
Observed: O
Expected: All cells in equal proportion

N	DF	Chi-Square	P-value
100	4	5.2	0.2674

Observed	Expected
24	20
16	20
14	20
20	20
26	20

Critical value = 7.779

Test statistics = 5.20

P-value = 0.2674

Fail to reject the null hypothesis at alpha = 0.10