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 26 16 14 20 24 100 (a) State the hypothesis for "no preference" in statistical terminology. H0: P(A) + P(B) + P(C) + P(D) + P(E) = 1H0: P(x) = P(y) for some x and y H0: P(A) ≠ P(B) ≠ P(C) ≠ P(D) ≠ P(E)H0: P(A) = P(B) = P(C) = P(D) = P(E) = 0.2 (b) What test statistic will be used in testing this null hypothesis? p? ?2tz (c) Complete the hypothesis test using ? = 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.) (iii) State the appropriate conclusion. Reject H0. There is significant evidence of a consumer preference.Do not reject H0. There is no evidence of a consumer preference.

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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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	26	16	14	20	24	100

(a) State the hypothesis for "no preference" in statistical terminology.

H₀: P(A) + P(B) + P(C) + P(D) + P(E) = 1H₀: P(x) = P(y) for some x and y H₀: P(A) ≠ P(B) ≠ P(C) ≠ P(D) ≠ P(E)H₀: P(A) = P(B) = P(C) = P(D) = P(E) = 0.2

(b) What test statistic will be used in testing this null hypothesis?

p? ?²tz

(c) Complete the hypothesis test using ? = 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.)

(iii) State the appropriate conclusion.

Reject H₀. There is significant evidence of a consumer preference.Do not reject H₀. There is no evidence of a consumer preference.

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