Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 20, Problem 1E

(a)

To determine

To write the null and alternative hypotheses you would use to test each of the situations given.

(a)

Expert Solution
Check Mark

Answer to Problem 1E

  H0:p=0.3Ha:p<0.3

Explanation of Solution

It is given in the question that a governor is concerned about his negatives the percentage of state residents who express disapproval of his job performance. Thus, the null hypothesis states that the percentage of state residents who express disapproval of the governor’s job performance is 30% . And the alternative hypothesis states that the percentage of state residents who express disapproval of the governor’s job performance is less than 30% . So, we have,

  H0:p=0.3Ha:p<0.3

(b)

To determine

To write the null and alternative hypotheses you would use to test each of the situations given.

(b)

Expert Solution
Check Mark

Answer to Problem 1E

  H0:p=0.5Ha:p0.5

Explanation of Solution

It is given in the question that the researchers want to find out is the coin fair. Thus, in this situation we can say that the null hypothesis states that the coin’s percentage of heads is equal to 50% . And the alternative hypothesis states that the coin’s percentage of heads is not equal to 50% . So, we have,

  H0:p=0.5Ha:p0.5

(c)

To determine

To write the null and alternative hypotheses you would use to test each of the situations given.

(c)

Expert Solution
Check Mark

Answer to Problem 1E

  H0:p=0.2Ha:p>0.2

Explanation of Solution

It is given in the question that only about 20% of people who try to quit smoking succeed. Sellers of a motivational tape claim that listening to the recorded massages can help people quit. Thus, in this situation we can say that the null hypothesis states that 20% of people who try to quit smoking succeed. And the alternative hypothesis states that more than 20% of people who try to quit smoking succeed. So, we have,

  H0:p=0.2Ha:p>0.2

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