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Chapter 10: Q. 49 (page 598)

Comparing Two Independent Population Proportions.

Use the following information 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 150phones with OS1had system failures within the first eight hours of operation. Nine out of another random sample of 150phones withOS2had system failures within the first eight hours of operation. OS2is believed to be more stable (have fewer crashes) than OS1.

What is the p-value?

Short Answer

Expert verified

The value ofpis 0.100821

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 150phones with OS1encountered system failures. Within the first eight hours of operation, nine out of 150phones with OS2had system faults. OS2is thought to be more stable than OS1(with fewer crashes).

02

Determine the p-value 

STAT and →are used to find the p-value.

TESTS must be selected twice.

03

Simplifying

Choose the two-sample T test and enter the code as shown.

Once you've completed all of the sample entries, press ENTER to get the following results:

The resultant p-value is0.100821.

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Most popular questions from this chapter

What are the sample mean difference?

Use the following information to answer the next three exercises: A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in Beverage A is 36 grams with a standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 38 grams with a standard deviation of 0.8 grams. The researchers believe that Beverage B has more sugar than Beverage A, on average. Both populations have normal distributions.

What is the random variable?

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

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f. single proportion

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

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

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

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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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