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Chapter 10: Q.123 (page 609)

A politician asked his staff to determine whether the underemployment rate in the northeast decreased from 2011 to 2012 . The results are in Table 10.34.

Short Answer

Expert verified

At the 5%level of significance, there is insufficient evidence from the sample data to indicate that the north eastern states' underemployment rates decreased from 2011 to 2012.

Step by step solution

01

Given Information  

The given data is :

We have to determine whether the underemployment rate in the northeast decreased from 2011 to 2012.

02

Explanation  

a. the null hypothesis is

μd=0

b. The alternative hypothesis is,

μd≠0

c. The mean of difference between 2years.

d. The t distribution of a student.

e. Fill in all requirements using Minitab's two sample t-test option.

The result shown below

Test statistic is-1.23

f. The P value is0.121

g. graph is plotted for P value.

i. Accept null hypothesis with α=0.05

Pvalue>αis the reason for the decision.

Conclusion: At the 5%level of significance, there is insufficient evidence from the sample data to indicate that the north eastern states' underemployment rates decreased from 2011 to 2012.

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Most popular questions from this chapter

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.

Does it appear that the means are the same? Why or why not?

The average worker in Germany gets eight weeks of paid vacation.

Indicate if the hypothesis test is for :-

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

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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.

What is the random variable?

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

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d. single mean

e. two proportions

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A sample of 12 in-state graduate school programs at school A has a mean tuition of \(64,000 with a standard deviation of \)8,000. At school B, a sample of 16 in-state graduate programs has a mean of \(80,000 with a standard deviation of \)6,000. On average, are the mean tuitions different?

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.

Sketch a graph of the situation. Mark the hypothesized difference and the sample difference. Shade the area corresponding to the p-value.
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