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Chapter 10: Q. 1 (page 596)

It is believed that 70%of males pass their drivers test in the first attempt, while 65%of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal.

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 two proportions.

Step by step solution

01

Given information

It is believed that 70%of males pass their driver's test in the first attempt, while 65%of females pass the test in the first attempt.

02

Explanation

In the first attempt,70%of males pass their driver's test and 65%of females pass their test.

Assuming males pass the test in the first attempt to be pm and females pass the test to be pf, The null and alternative hypothesis is given as H0: pm=pf.

The alternative hypothesis for this is given as: Ha:pm≠pf.

This shows that this hypothesis test is for two proportions.

03

Final answer

The test is for two proportions.

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Most popular questions from this chapter

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.

Draw the graph of the p-value.

A new windshield treatment claims to repel water more effectively. Ten windshields are tested by simulating rain without

the new treatment. The same windshields are then treated, and the experiment is run again. A hypothesis test is conducted.

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

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Use the following information to answer the next five exercises. A doctor wants to know if a blood pressure medication is effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1%significance level.

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Two samples are shown in Table 10.2. Both have normal distributions. The means for the two populations are thought to be the same. Is there a difference in the means? Test at the 5% level of significance.

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.

At a pre-conceived α = 0.05, what is your:

a. Decision:

b. Reason for the decision:

c. Conclusion (write out in a complete sentence):
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