In: Statistics and Probability
A committee surveyed 173 students from a large university campus and found that 53 of them participated in varsity sports. (a) Based on the survey results, construct and interpret a 95% confidence interval for the proportion of students who are varsity athletes. (b) Based on the survey results, test the claim that more than 25% of students are varsity athletes. Use alpha=0.01α = 0.01. Show all work.
Here
a) 95% confident that the proportion of students who are varsity athletes is between 0.2377 and 0.3750.
b) Accept Ho at 0.01 level of significance.
I.e. There is not sufficient evidence to claim that more than 25% of students are varsity athletes.