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Chapter 9: Q.12 (page 546)

Refer to Exercise 2. For Yvonne's survey, 96 students in the sample said they rarely or never argue with friends. A significance test yields a P-value of 0.0291.

(a) Interpret this result in context.

(b) Do the data provide convincing evidence against the null hypothesis? Explain.

Short Answer

Expert verified

a. Chance that students in the sample said rarely or never argue with friends is0.0291

b. Yes, the data provide convincing evidence against the null hypothesis

Step by step solution

01

introduction

Given,

sample size is 150

population value is72%

new population value is 0.0291

02

explanation part (a)

Calculating the null and alternative hypotheses,

we get,

Ho:p=0.72Ha:p鈮�0.72

The chance that students in the sample said rarely or never argue with friends is 0.0291 if the population proportion is0.72.

03

explanation part (b)

The null hypothesis is not accepted as the value of p is less than the significant level of 5%or0.05

But p=0.0291which is less than 0.05.

Yes, the data provide convincing evidence against the null hypothesis

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