Elementary Statistics (13th Edition)
Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 11, Problem 1CQQ

Exercises 1-5 refer to the sample data in the following table, which summarizes the last digits of the heights (cm) of300 randomly selected subjects (from Data Set 1 “Body Data” in Appendix B). Assume that we want to use a 0.05 significance level to test the claim that the data are from a population having the properly that the last digits are all equally likely.

Chapter 11, Problem 1CQQ, Exercises 1-5 refer to the sample data in the following table, which summarizes the last digits of

1. What are the null and alternative hypotheses corresponding to the stated claim?

Expert Solution & Answer
Check Mark
To determine

To identify: The null and alternate hypotheses.

Answer to Problem 1CQQ

The null Hypothesis, H0:p0=p1=p2=p3=p4=p5=p6=p7=p8=p9=110_

The alternative hypothesis, H1 is at least one of the proportions is not equal to the given claim.

Explanation of Solution

Given info:

The dataset shows the heights in cm of 300 randomly chosen subjects. Assume to test the claim that thedata is taken from a population having the last digits which are equally likely to occur at 5% level of significance.

Justification:

Since, there are digits from 0 to 9, there are 10 digits. The claim is to test whether the last digit are equally likely to occur. Each of the digits has equal chance to occur as last digit. Thus, the probability for each digit to occur as last digit has equal probability which is 110 .

Hence, the null hypothesis is,

H0:p0=p1=p2=p3=p4=p5=p6=p7=p8=p9=110_

If the claim is false, then at least one of the digits is different from the given probability of occurrence 110 . Hence, the alternative hypothesis is,

H1: At least one of the proportions is not equal to the given claim.

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Chapter 11 Solutions

Elementary Statistics (13th Edition)

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