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Chapter 10: Q.117 (page 607)

If the p-value is 0.0062 what is the conclusion (use α = 0.05)?

a. The method has no effect.

b. There is sufficient evidence to conclude that the method reduces the proportion of HIV positive patients who develop AIDS after four years.

c. There is sufficient evidence to conclude that the method increases the proportion of HIV positive patients who develop AIDS after four years.

d. There is insufficient evidence to conclude that the method reduces the proportion of HIV positive patients who develop AIDS after four years.

Short Answer

Expert verified

Option (b). There is sufficient evidence to conclude that the method reduces the proportion of HIV positive patients who develop AIDS after four years.

is the answer.

Step by step solution

01

Given information

Given in the question that, If the p-value is 0.0062what is the conclusion (use α=0.05)?

a. The method has no effect.

b. There is sufficient evidence to conclude that the method reduces the proportion of HIV positive patients who develop AIDS after four years.

c. There is sufficient evidence to conclude that the method increases the proportion of HIV positive patients who develop AIDS after four years.

d. There is insufficient evidence to conclude that the method reduces the proportion of HIV positive patients who develop AIDS after four years.

02

Explanation

Because the p value is smaller than the level of significance in the given problem, the null hypothesis is rejected, and the proportion of HIV patients drops as a result of treatment.

(b)is the answer.

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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.

19. Is this a test of means or proportions?

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 right-tailed, left-tailed, or two-tailed test? How do you know?

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.

Find the p-value.

Use the following information to answer the next 15exercises: 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

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In a random sample of 100 forests in the United States, 56 were coniferous or contained conifers. In a random sample of 80 forests in Mexico, 40 were coniferous or contained conifers. Is the proportion of conifers in the United States statistically more than the proportion of conifers in Mexico?
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