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Q.12

Expert-verifiedFound in: Page 546

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

Given,

sample size is $150$

population value is $72\%$

new population value is 0.0291

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 $0.72$.

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

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