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Chapter 10: Q. 46 (page 598)

Comparing Two Independent Population Proportions.

Use the following informotion for the next five exercises. Two types of phone operating system are being tested to determine if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with OS1 had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with

OS2 had system failures within the first eight hours of operation. OS2 is believed to be more stable (have fewer crashes) than OS1.

Is this a test of means or proportions?

Short Answer

Expert verified

This is a proportions test.

Step by step solution

01

Given Information

Two different phone operating systems are being compared to see if the proportions of system breakdowns change (crashes). Within the first eight hours of operation, fifteen of a random sample of 150 phones with OS1 encountered system failures. Another random sample of 150 phones yielded nine Within the first eight hours of operation, OS2 experienced system difficulties. OS2 is thought to be more stable than OS1 (with fewer crashes).

02

Determine the, is this a test of means or proportions?

The test is determining the percentage of phones with OS1 and OS2 that fail within the first 8 hours of operation.

This is a proportions test.

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Most popular questions from this chapter

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

Is the population standard deviation known or unknown?

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

State the null and alternative hypotheses.

a. H0:

b. Ha :

Use the following information to answer next five exercises. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the 1% significance level

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

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d. single mean

e. two proportions

f. single proportion

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