Only 355 of the 1,000 respondents chose the correct answer of "never." 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 the five-step process for hypothesis testing (HMC3) described in this section and α = 0.05 to test the appropriate hypotheses. (Hint: See Example 10.13.) State the appropriate null and alternative hypotheses. H0: p = 0.40 versus Ha: p < 0.40 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your P-value to four decimal places.) z= -2.9051 P-value= .001836 State the conclusion in the problem context. Reject H0. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40. b)The paper also reported that 37.2% of those in the sample chose one of the wrong answers (a, b, or c) as their response to this question. Is it reasonable to conclude that more than one-third of adult Americans would select a wrong answer to this question? Use α = 0.05. (Round your test statistic to two decimal places and your P-value to four decimal places.) State the appropriate null and alternative hypotheses. H0: p = 1 3 versus Ha: p> 1/3 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your P-value to four decimal places.) z=? p-value?

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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Only 355 of the 1,000 respondents chose the correct answer of "never." 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 the five-step process for hypothesis testing (HMC³) described in this section and

α = 0.05

to test the appropriate hypotheses. (Hint: See Example 10.13.)

State the appropriate null and alternative hypotheses.

H₀: p = 0.40 versus H_a: p < 0.40

Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your P-value to four decimal places.)

z= -2.9051 P-value= .001836

State the conclusion in the problem context.

Reject H₀. We have convincing evidence that the proportion of all adult Americans who would answer the question correctly is less than 0.40.

b)The paper also reported that 37.2% of those in the sample chose one of the wrong answers (a, b, or c) as their response to this question. Is it reasonable to conclude that more than one-third of adult Americans would select a wrong answer to this question? Use

α = 0.05.

(Round your test statistic to two decimal places and your P-value to four decimal places.)

State the appropriate null and alternative hypotheses.

H₀: p =

versus

H_a: p>

1/3

Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your P-value to four decimal places.)

z=?

p-value?

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