Answered: A researcher claims that 90% of people…

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

A researcher claims that 90% of people trust DNA testing. In a survey of 100 people, 91 of them said that they trusted DNA testing. Is the actual proportion of people who trust DNA testing larger than 90%? Test the researcher’s claim at the 1% level of significance.

(Null and Alternate Hypothesis, Rejection Region)

A. Ho: p = 0.90; Ha: p < 0.90; Rejection Region: z < -2.576

B. Ho: p = 0.90; Ha: p < 0.90; Rejection Region: z < -2.326

C. Ho: p = 0.90; Ha: p > 0.90; Rejection Region: z > 2.326

D. Ho: p = 0.90; Ha: p > 0.90; Rejection Region: z > 1.960

E. Ho: p = 0.90; Ha: p ≠ 0.90; Rejection Region: z < -2.576 or z > 2.576

(Test Statistic and conclusion)

A. z = 0.333; FRHo (No sufficient evidence to reject the claim)

B. z = 0.351; RHo (Sufficient evidence exists to reject the claim)

C. z = 0.333; RHo (Sufficient evidence exists to reject the claim)

D. z = 0.351; FRHo (No sufficient evidence to reject the claim)

E. z = 0.00033; RHo (Sufficient evidence exists to reject the claim)