Question

please answer the promt

21 Estii > Poll: Public Opir+ scussion_topics/1993 Learn by Doing Now take the opportunity to participate in this Learn by Doing discussion. Prompt ons Recall that Foothill College's athletic department wants to calculate the proportion of students who have attended a women's basketball game at the college. They use student email addresses, randomly choose 220 students, and email them. Of the 145 who responded, 22 had attended a women's basketball game mate 95% confidence interval for the proportion of all Foothill College Calculate and interpret the approxi students who have attended a women's basketball game. Directions Yau were randomly assigned to one group for all discussions in this Module. However, you will not be able

Answer 1

The random sample has 220 observations, Among them 22 has attended a women's basket ball game. The sample proportion , p=22/220=0.1

The standard error , $S.E=\sqrt{p(1-p)/n}=0.02$

The Confidence interval is (p-M.E,p+M.E)=(0.06,0.14)

95% of the samples contain the true population proportion ie the proportion of all FootHill college students who have attended a women's basket ball game in other words the confidence interval constructed for 95% of the samples taken from the same population will have the true population proportion in it. ie There is good reason to believe that the population proportion lies between these two bounds of 0.06 and 0.14.since 95% of the time confidence intervals contain the true population proportion.