Chapter 23, Problem 23.9CYS

To determine

To find: The hypotheses that has to be tested.

Answer to Problem 23.9CYS

The hypotheses to be tested are $H_0:p_M=p_F\text{ versus }{H}_a:p_M\ne p_F$.

Explanation of Solution

Reason for the correct answer:

In the given situation, there is a difference between the proportion of males and the proportion of females who would allow an anti-religionist to speak is tested.

Hence, option (a) is correct.

Reason for the incorrect answer:

Option (b) and Option (c) are incorrect, because there is a difference between the proportion of males and the proportion of females who would allow an anti-religionist to speak is tested.

Conclusion:

The test hypotheses for there is a difference between the proportion of males and the proportion of females who would allow an anti-religionist to speak is $H_0:p_M=p_F\text{ versus }{H}_a:p_M\ne p_F$.

Introduction:

Null hypothesis:

A statement about population parameter which is equal to the value mentioned in claim value, which is denoted by $H_0$. 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 $H_a$.