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Chapter 10: Q. 2 (page 596)

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

Expert verified

The test is for single proportions.

Step by step solution

01

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.

02

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 :H0:p=0

The alternative hypothesis for this is given as : Ha:p>0

This shows that this hypothesis testis for single proportions.

03

Final answer

The test is for single proportions.

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Use the following information to answer the next 15 exercises: 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

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Use the following information to answer the next five exercises. The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.
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