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Chapter 10: Q. AP3.5 (page 701)

Which of the following will increase the power of a significance test?

a. Increase the Type II error probability.

b. Decrease the sample size.

c. Reject the null hypothesis only if the P-value is less than the significance level.

d. Increase the significance level 伪.

e. Select a value for the alternative hypothesis closer to the value of the null hypothesis.

Short Answer

Expert verified

The correct option is (d) Increase the significance level伪

Step by step solution

01

Given Information

We have to determine the theory that increase the power of a significance test.

02

Simplification

Atest'spowercanbeincreasedintwoways:byincreasingthesamplesizeorbyraisingthesignificancelevel.
As a result, increasing the power of a significance test with the help of the sigma's significance level.

Hence, the correct option is (d) Increase the significance level伪

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Most popular questions from this chapter

You can find some interesting polls online. Anyone can become part of the sample just by clicking on a response. One such poll asked, 鈥淒o you prefer watching first-run movies at a movie theater, or waiting until they are available to watch at home or on a digital device?鈥� In all, 8896people responded, with only 12%(1118people) saying they preferred theaters. You can conclude that

a. American adults strongly prefer watching movies at home or on their digital devices.

b. the high nonresponse rate prevents us from drawing a conclusion.

c. the sample is too small to draw any conclusion.

d. the poll uses voluntary response, so the results tell us little about all American adults.

e. American adults strongly prefer seeing movies at a movie theater.

In an experiment to learn whether substance M can help restore memory, the brains of 20rats were treated to damage their memories. First, the rats were trained to run a maze. After a day, 10rats (determined at random) were given substance M and 7of them succeeded in the maze. Only 2of the 10control rats were successful. The two-sample z test for the difference in the true proportions

a. gives z=2.25,P<0.02 .

b. gives z=2.60,P<0.005 .

c. gives z=2.25,P<0.04 but not<0.02

d. should not be used because the Random condition is violated.

e. should not be used because the Large Counts condition is violated.

National Park rangers keep data on the bears that inhabit their park. Here is a histogram of the weights of bears measured in a recent year:

Which of the following statements is correct?

a. The median will lie in the interval (140,180), and the mean will lie in the interval(180,220).

b. The median will lie in the interval(140,180), and the mean will lie in the interval (260,300).

c. The median will lie in the interval(100,140), and the mean will lie in the interval (180,220).

d. The mean will lie in the interval (140,180),and the median will lie in the interval (260,300).

e. The mean will lie in the interval (100,140), and the median will lie in the interval (180,220).

A random sample of size n will be selected from a population, and the proportion p^3051526=0.200=20.0%p^ of those in the sample who have a Facebook page will be calculated. How would the margin of error for a 95% confidence interval be affected if the sample size were increased from 50to200 and the sample proportion of people who have a Facebook page is unchanged?

a. It remains the same.

b. It is multiplied by 2.

c. It is multiplied by 4.

d. It is divided by 2.

e. It is divided by 4.

Each day I am getting better in math A "subliminal" message is below our threshold of awareness but may nonetheless influence us. Can subliminal messages help students learn math? A group of 18students who had failed the mathematics part of the City University of New York Skills Assessment Test agreed to participate in a study to find out. All received a daily subliminal message, flashed on a screen too rapidly to be consciously read. The treatment group of 10students (assigned at random) was exposed to "Each day I am getting better in math." The control group of 8students was exposed to a neutral message, "People are walking on the street." All 18students participated in a summer program designed to improve their math skills, and all took the assessment test again at the end of the program. The following table gives data on the subjects' scores before and after the program.

a. Explain why a two-sample t-test and not a paired t-test is the appropriate inference procedure in this setting.

b. The following boxplots display the differences in pretest and post-test scores for the students in the control (C) and treatment (T) groups. Write a few sentences comparing the performance of these two groups.

c. Do the data provide convincing evidence at the 伪=0.01,3051526=0.200=20%significance level that subliminal messages help students like the ones in this study learn math, on average?

d. Can we generalize these results to the population of all students who failed the mathematics part of the City University of New York Skills Assessment Test? Why or why not?
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