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Chapter 10: Q. 50 (page 598)

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 OS1had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with OS2had system failures within the first eight hours of operation. OS2is believed to be more stable (have fewer crashes) than OS1.

What can you conclude about the two operating systems?

Short Answer

Expert verified

There is insufficient evidence to reject the null hypothesis at the 5 percent level of significance, thus the data do not reveal that OS2has fewer system failures thanOS1.

Step by step solution

01

Given information  

Phone operating systemsOS1andOS2.

02

Conclusion about the two operating systems 

The level of significance is at 5% that is α=0.05.

The output of the previous exercise 10.49 is :

If α<pis a positive number, the null hypothesis is not rejected.

There is insufficient evidence to reject the null hypothesis at the 5%level of significance, thus the data do not reveal that OS2has fewer system failures than localid="1652985249407" OS1.

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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.

State the null and alternative hypotheses.

The league mean batting average is 0.280 with a known standard deviation of 0.06. The Rattlers and the Vikings belong

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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 the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.
Is this a test of means or proportions?

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