a. Explanation With reference to Exercise 14.4, the number of heart attacks occurred on Monday is 36 out of 200 working people. The test hypotheses are given below: Denote p as the probability that a heart attack victim suffered a heart attack on Monday. Null hypothesis: H 0 : p = 1 7 That is, the probability that a heart attack victim suffered a heart attack on Monday is 1 7 . Alternative hypothesis: H a : p > 1 7 That is, the probability that a heart attack victim suffered a heart attack on Monday is greater than 1 7 . In this case, the level of the test is 0.05. Test statistic: The test statistic based on p ^ ( = Y n ) is given below: Z = p ^ − p 0 σ p ^ Where p 0 is the hypothesized proportion, σ p ^ ( = p 0 ( 1 − p 0 ) n ) is the standard error of p ^ , p ^ is the sample proportion, Y is the number of observations of interest, and n is the sample size b. To determine Identify the tenet of good statistical practice that is violated in the test in Part (a). c. To determine State whether there is a reason to consider the hypotheses from Part (a), prior to looking at the current data.

Mathematical Statistics with Applications

7th Edition

ISBN: 9780495110811

Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer

Publisher: Cengage Learning

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Chapter 14.3, Problem 5E

To determine

Test the hypothesis that the probability that a heart attack victim suffered a heart attack on Monday is 17 against the alternative p>17.

To determine

Identify the tenet of good statistical practice that is violated in the test in Part (a).

To determine

State whether there is a reason to consider the hypotheses from Part (a), prior to looking at the current data.

Expert Solution & Answer

Chapter 14 Solutions

Mathematical Statistics with Applications

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Test the hypothesis that the probability that a heart attack victim suffered a heart attack on Monday is 1 7 against the alternative p > 1 7 .

Solution Summary: The author compares the hypothesis that the probability of a heart attack victim's suffering on Monday is greater than 17.

Videos

Test the hypothesis that the probability that a heart attack victim suffered a heart attack on Monday is 17 against the alternative p>17.

Identify the tenet of good statistical practice that is violated in the test in Part (a).

State whether there is a reason to consider the hypotheses from Part (a), prior to looking at the current data.

Chapter 14 Solutions

Test the hypothesis that the probability that a heart attack victim suffered a heart attack on Monday is 1 7 against the alternative p &gt; 1 7 .

Solution Summary: The author compares the hypothesis that the probability of a heart attack victim's suffering on Monday is greater than 17.

Videos

Test the hypothesis that the probability that a heart attack victim suffered a heart attack on Monday is 17 against the alternative p>17.

Identify the tenet of good statistical practice that is violated in the test in Part (a).

State whether there is a reason to consider the hypotheses from Part (a), prior to looking at the current data.

Chapter 14 Solutions

Test the hypothesis that the probability that a heart attack victim suffered a heart attack on Monday is 1 7 against the alternative p > 1 7 .