Answered: Only 353 of the 1,000 respondents chose…

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

Only 353 of the 1,000 respondents chose the correct answer of "never." For purposes of this exercise, assume that the sample is representative of adult Americans. Is there convincing evidence that the proportion of adult Americans who can answer this question correctly is less than 0.40 (40%)? Use

? = 0.05

to test the appropriate hypotheses. (Hint: See Example 10.10.)

State the appropriate null and alternative hypotheses.

H₀: p ≠ 0.40

versus

H_a: p = 0.40

H₀: p = 0.40

versus

H_a: p ≠ 0.40

H₀: p = 0.40

versus

H_a: p < 0.40

H₀: p < 0.40

versus

H_a: p > 0.40

H₀: p = 0.40

versus

H_a: p > 0.40

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