A study investigates the proportions of male and female adults who have experienced at least one headache in the past two weeks.The results are summarized below: The null hypothesis is that the proportion of persons who have experienced a headache within the past two weeks is the same for both males and females.
In a simulation to estimate the p-value of the study's chi-square statistic, what value should be used for the probability that a random subject has experienced a headache within the past two weeks?

Question

A study investigates the proportions of male and female adults who have experienced at least one headache in the past two weeks.The results are summarized below:  The null hypothesis is that the proportion of persons who have experienced a headache within the past two weeks is the same for both males and females.
In a simulation to estimate the p-value of the study's chi-square statistic, what value should be used for the probability that a random subject has experienced a headache within the past two weeks?

Quizplus · Accepted Answer

The proportions of males and females who have experienced a headache in the past two weeks are 0.13 and 0.11 respectively. Since the null hypothesis assumes equal proportions, we will use the pooled sample proportion as the estimated probability of experiencing a headache, which is (0.13*500 + 0.11*1000) / (500+1000) = 0.12. Therefore, the closest option is D with a probability of 0.13.

A Study Investigates the Proportions of Male and Female Adults