Question

According to a television commercial, $80\%$of dentists agree that Ultrafresh toothpaste is the best on the market.

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 hypothesis test is for single proportions.

Step-by-step solution

Given information

Here,$80\%$ of dentists agree that Ultrafresh toothpaste is the best on the market.

Calculation

A TV commercial says $80\%$of dentists agree Ultrafresh toothpastes are the best.

Assuming dentist proportion agreeing for the Ultrafresh tooth paste to be best as p.

The null and alternative hypothesis is obtained as :

$$\begin{gathered} {\mathrm{H}}_0:\mathrm{p}=0 \\ {\mathrm{H}}_{\mathrm{a}}:\mathrm{p}>0 \end{gathered}$$

This shows that this hypothesis test is for single proportions.

Final answer

The hypothesis test is for single proportions.