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Expert-verified Found in: Page 546 ### The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339 # 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.

a. Chance that students in the sample said rarely or never argue with friends is $0.0291$

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

See the step by step solution

## Step 1: introduction

Given,

sample size is $150$

population value is $72%$

new population value is 0.0291

## Step 2: explanation part (a)

Calculating the null and alternative hypotheses,

we get,

$\begin{array}{r}{H}_{o}:p=0.72\\ {H}_{a}:p\ne 0.72\end{array}$

The chance that students in the sample said rarely or never argue with friends is $0.0291$ if the population proportion is $0.72$.

## Step 3: explanation part (b)

The null hypothesis is not accepted as the value of p is less than the significant level of $5%$or $0.05$

But $p=0.0291$which is less than $0.05$.

Yes, the data provide convincing evidence against the null hypothesis ### Want to see more solutions like these? 