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Chapter 9: Q.8 (page 546)

A change is made that should improve student satisfaction with the parking situation at your school. Right now, 37% of students approve of the parking that’s provided. The null hypothesis H0:p^=0.37is tested against the alternativeHd:p^≠0.37.

Short Answer

Expert verified

The population value = 0.37as per null hypothesis and is not equal to0.37as per alternative hypothesis, the problem is incorrect.

Step by step solution

01

introduction

Given,

A change is made that should improve student satisfaction with the parking situation at your school

The students approve of the parking that’s provided is 37%

02

explanation

Calculating the hypotheses,

The population value is0.37as per the null hypothesis

⇒H0:p=0.37

The population value is not equal to 0.37as per alternative hypothesis

⇒Ha:p≠0.37

The population value = 0.37 as per null hypothesis and is not equal to0.37 as per alternative hypothesis, the problem is incorrect.

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Most popular questions from this chapter

Simon reads a newspaper report claiming that 12% of all adults in the United States are left-handed. He wonders if 12% of the students at his large public high school are left-handed. Simon chooses an SRS of 100 students and records whether each student is right- or left-handed.

Stating hypotheses State the appropriate null and alternative hypotheses in each of the following cases.

(a) The average height of 18-year-old American women is 64.2inches. You wonder whether the mean height of this year's female graduates from a large local high school (over 3000students) differs from the national average. You measure an SRS of 48female graduates and find that X=63.1inches.

(b) Mr. Starnes believes that less than 75%of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of students at the school to help Mr. Starnes test his claim.

- Check conditions for carrying out a test about a population proportion or mean.

- Interpret P-values in context.

What is significance good for? Which of the following questions does a significance test answer? Justify your answer.

(a) Is the sample or experiment properly designed?

(b) Is the observed effect due to chance?

(c) Is the observed effect important?

An SRS of 100 postal employees found that the average time these employees had worked at the postal service was 7years with standard deviation 2years. Do these data provide convincing evidence that the mean time of employment M for the population of postal employees has changed from the value of 7.5 that was true 20years ago? To determine this, we test the hypotheses H0:μ=7.5versus Ha:μ≠7.5using a one-sample ttest. What conclusion should we draw at the 5%significance level?

(a) There is convincing evidence that the mean time working with the postal service has changed.

(b) There is not convincing evidence that the mean time working with the postal service has changed.

(c) There is convincing evidence that the mean time working with the postal service is still 7.5 years.

(d) There is convincing evidence that the mean time working with the postal service is now 7years.

(e) We cannot draw a conclusion at the 5% significance level. The sample size is too small.

Do you have ESP? A researcher looking for evidence of extrasensory perception (ESP) tests 500subjects. Four of these subjects do significantly better P<0.01than random guessing.

(a) Is it proper to conclude that these four people have ESP? Explain your answer.

(b) What should the researcher now do to test whether any of these four subjects have ESP?
See all solutions

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