Question

A new laundry detergent is tested on consumers. Of interest is the proportion of consumers who prefer the new brand

over the leading competitor. A study is done to test this.

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 single proportions.

Step-by-step solution

Given information

A new laundry detergent is tested on consumers. Of interest is the proportion of consumers who prefer the new brand

over the leading competitor. A study is done to test this.

Calculation

On the customers a new laundry detergent was tested. The proportion of customers interested in the new brand is of interest.

Assuming proportion of customers preferring the new brand over the existing or competitor is p.

The null and alternative hypothesis is given as :${\mathrm{H}}_0:\mathrm{p}=0$

The alternative hypothesis for this is given as : ${\mathrm{H}}_{\mathrm{a}}:\mathrm{p}>0$

This shows that this hypothesis testis for single proportions.

Final answer

The test is for single proportions.