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Chapter 9: Q.15 (page 547)

When asked to explain the meaning of the P-value in Exercise 13, a student

says, “This means there is only probability 0.01 that the null hypothesis is true.” Explain clearly why the student’s explanation is wrong.

Short Answer

Expert verified

The student’s explanation is wrong.

Step by step solution

01

introduction

The null hypothesis is a normal factual hypothesis which recommends that no measurable relationship and importance exists in a bunch of given single noticed variables, between two arrangements of noticed information and estimated peculiarities.

02

explanation

“This means there is the only probability 0.01that the null hypothesis is true.”

This is incorrect as The null hypothesis can either be true or false which is probability1or0.

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Most popular questions from this chapter

To determine the reliability of experts who interpret lie detector tests in criminal investigations, a random sample of 280such cases was studied. The results were

(a) 15/280.

(b) 9/280.

(c) 15/140.

(d) 9/140.

(e) 15/146.

You are thinking of conducting a one-sample t-test about a population mean M using a 0.05 significance level. You suspect that the distribution of the population is not Normal and may be moderately skewed. Which of the following statements is correct?

(a) You should not carry out the test because the population does not have a Normal distribution.

(b) You can safely carry out the test if your sample size is large and there are no outliers.

(c) You can safely carry out the test if there are no outliers, regardless of the sample size.

(d) You can carry out the test only if the population standard deviation is known.

(e) The t procedures are robust—you can u

The most important condition for sound conclusions from statistical inference is that

(a) the data come from a well-designed random sample or randomized experiment

(b) the population distribution be exactly Normal.

(c) the data contain no outliers.

(d) the sample size be no more than 10%of the population size.

(c) the sample size be at least 30.

An opinion poll asks a random sample of adults whether they favor banning ownership of handguns by private citizens. A commentator believes that more than half of all adults favor such a ban. The null and alternative hypotheses you would use to test this claim are

a).H0:p^=0.5;Ha:p^>0.5

(b) H0:p=0.5;Ha:p>0.5

(c) H0:p=0.5;Ha:p<0.5

(d) H0:p=0.5;Ha:p≠0.5

(e) H0:p>0.5;Ha:p=0.5

The power of tomatoes The researchers who carried out the experiment in Exercise 75suspect that the large P-value (0.114) is due to low power.

(a) Describe a Type I and a Type II error in this setting. Which type of error could you have made in Exercise 75? Why?

(b) Explain two ways that the researchers could have increased the power of the test to detect .
See all solutions

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