BASIC PRACTICE OF STATISTICS(REISSUE)>C
BASIC PRACTICE OF STATISTICS(REISSUE)>C
8th Edition
ISBN: 9781319341831
Author: Moore
Publisher: MAC HIGHER
Question
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Chapter 23, Problem 23.9CYS
To determine

To find: The hypotheses that has to be tested.

Expert Solution & Answer
Check Mark

Answer to Problem 23.9CYS

Correct answer:

The hypotheses to be tested are H0:p9=p12 versus Ha:p9>p12 .

Explanation of Solution

Reason for the correct answer:

In the given situation, there is evidence that the proportion of 12th graders who eat breakfast daily is lower than the proportion of 9th-graders eating breakfast daily is tested.

Hence, option (b) is correct.

Reason for the incorrect answer:

Option (a) and Option (c) are incorrect, because the proportion of 12th graders who eat breakfast daily is lower than the proportion of 9th-graders eating breakfast daily is tested.

Conclusion:

The test hypotheses for the proportion of 12th graders who eat breakfast daily is lower than the proportion of 9th-graders eating breakfast daily is H0:p9=p12 versus Ha:p9>p12 .

Statistics Concept Introduction

Introduction:

Null hypothesis:

A statement about population parameter which is equal to the value mentioned in claim value, which is denoted by H0 . The population parameter may be mean, standard deviation, proportion, variance, etc.

Alternative hypothesis:

It is opposite to the null hypothesis. That is, it differs from the null hypothesis. The possible symbols used in the alternative hypothesis would be <, >, or ≠. It is denoted by Ha

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7. In a 2011 article, M. Radelet and G. Pierce reported a logistic prediction equation for the death penalty verdicts in North Carolina. Let Y denote whether a subject convicted of murder received the death penalty (1=yes), for the defendant's race h (h1, black; h = 2, white), victim's race i (i = 1, black; i = 2, white), and number of additional factors j (j = 0, 1, 2). For the model logit[P(Y = 1)] = a + ß₁₂ + By + B²², they reported = -5.26, D â BD = 0, BD = 0.17, BY = 0, BY = 0.91, B = 0, B = 2.02, B = 3.98. (a) Estimate the probability of receiving the death penalty for the group most likely to receive it. [4 pts] (b) If, instead, parameters used constraints 3D = BY = 35 = 0, report the esti- mates. [3 pts] h (c) If, instead, parameters used constraints Σ₁ = Σ₁ BY = Σ; B = 0, report the estimates. [3 pts] Hint the probabilities, odds and odds ratios do not change with constraints.
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