A large public university conducts a study on the use of the available student c

Question

A large public university conducts a study on the use of the available student counseling services. The survey includes 950 randomly selected students (500 female and 450 male students). Among the sampled students, 27% of the female students said that they have used counseling services within the past year, compared to 22% of the male students.

a)     Determine a 95% confidence interval for the difference in proportions of male and female students using counseling services. Be sure to specify:

b)     Referring only to your confidence interval, explain whether the difference in proportions is statistically significant. Your explanation should include an explanation of what “statistically significant difference” means, the confidence level and specific value(s) in the interval.

Explanation / Answer

a)

Confidence Interval

The 95% confidence interval for p1(Female)p2(male) is: 0.005 < p1p2< 0.105.

b)

Statistically significant is the likelihood that a relationship between two or more variables is caused by something other than random chance. For this question there is not enough evidence to claim that the population proportion p1 is different than p2, at the 0.05 significance level.

Hence diffrence in prop is not staticially significiant

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.