A Polling Agency Is Interested in Testing Whether the Proportion

question 33

Multiple Choice

A polling agency is interested in testing whether the proportion of women who support a female candidate for office is less than the proportion of men. The null hypothesis is that there is no difference in the proportions of men and women who support the female candidate. The alternative hypothesis is that the proportion of women who support the female candidate is less than the proportion of men. The test results in a p- value of 0.041. Which of the following is the best interpretation of the p- value?

• A)The p- value is the probability that the majority of women will support the female candidate.
• B)The p- value is the probability of getting a result that is as extreme as or more extreme than the one obtained, assuming that there is no difference in the proportions.
• C)The p- value is the probability that the majority of men will support the female candidate.
• D)The p- value is the probability of getting a result that is as extreme as or more extreme than the one obtained, assuming that the proportion of women who support the female candidate is less than the proportion of men.

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Definitions:

T-Distribution

The T-distribution, or Student's t-distribution, is a probability distribution that estimates the population parameters when the sample size is small and the population standard deviation is unknown.

T Distribution

A statistical curve that shows the standard deviations of samples taken from a population and is used when the population standard deviation is unknown and the sample size is small.

Standard Normal Distribution

A normal distribution with a mean of zero and a standard deviation of one.

Population Mean

The sum of the values in the population divided by the number of values in the population.