Question

It is believed that $70\%$of males pass their drivers test in the first attempt, while $65\%$of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal.

Indicate if the hypothesis test is for :

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

Short answer

The test is for two proportions.

Step-by-step solution

Given information

It is believed that $70\%$of males pass their driver's test in the first attempt, while $65\%$of females pass the test in the first attempt.

Explanation

In the first attempt,$70\%$of males pass their driver's test and $65\%$of females pass their test.

Assuming males pass the test in the first attempt to be pm and females pass the test to be pf, The null and alternative hypothesis is given as $H_0$: $\text{pm=pf.}$

The alternative hypothesis for this is given as: ${\mathrm{H}}_{\mathrm{a}}:\mathrm{pm}\ne \mathrm{pf}.$

This shows that this hypothesis test is for two proportions.

Final answer

The test is for two proportions.