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Chapter 9: Q. 10. (page 564)

Attitudes Refer to Exercise 4. In the study of older students鈥� attitudes, the sample mean SSHA score was 125.7 and the sample standard deviation was 29.8. A significance test yields a P-value of 0.0101.

a. Explain what it would mean for the null hypothesis to be true in this setting.

b. Interpret the P-value.

Short Answer

Expert verified

Part a) The correct mean score for the students who are at least 30years of age is 115

Part b) The P-value is if the population mean is equal to115, then there is the possibility of1.01%of getting a random sample with a sample mean of125.7or more.

Step by step solution

01

Part a) Step 1: Given information

From the previous exercise,

H0:渭=115Ha:渭>115

渭is the population mean score of students who are at least 30 years of age.

02

Part a) Step 2: The objective is to explain the mean for the null hypothesis to be true in this setting

If the null hypothesis H0:渭=115is correct, the true mean score for students who are at least 30years old is115

03

Part b) Step 1: Given information

n=45x炉=125.7s=29.8P=0.0101=1.01%

04

Part b) Step 2: The objective is to explain the p value

Result of the previous exercise:

H0:渭=115Ha:渭>115

If the population means is115then there is a 1.01%chance of getting a random sample with a sample means of125.7 or higher.

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Most popular questions from this chapter

Stating hypotheses

a. A change is made that should improve student satisfaction with the parking situation at a local high school. Before the change, 37%of students approve of the parking that's provided. The null hypothesis H0:p>0.37H0:p>0.37is tested against the alternative Ha: p=0.37Ha:p=0.37

b. A researcher suspects that the mean birth weights of babies whose mothers did not see a doctor before delivery is less than 3000 grams. The researcher states the hypotheses as

H0:x-=3000grams-5H0:x炉=3000grams

Ha: x-<3000grams Ha:x炉<3000grams

explain what's wrong with the stated hypotheses. Then give correct hypotheses.

Which of the following 95%confidence intervals would lead us to reject H0:p=0.30in favor of Ha:pnotequalto0.30at the 5%significance level?

a. (0.19,0.27)

b.(0.24,0.30)

c. (0.27,0.31)

d. (0.29,0.31)

e. None of these

Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a loud noise as stimulus. The appropriate hypotheses for the significance test are

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state appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest

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