Question

A golf club currently has 350 members that pay annual dues to play golf on the course. Historical records show that 39​% of the members use the course at least once a week during the summer season. To verify​ this, a random sample of 100 members was selected. Complete parts a through d below.

a. Calculate the standard error of the proportion.

​(Round to four decimal places as​ needed.)

b. What is the probability that 32 or more members from the sample used the course at least once a​ week?

​(Round to four decimal places as​ needed.)

c. What is the probability that between 30 and 40 members from the sample used the course at least once a​ week?​​

​(Round to four decimal places as​ needed.)

d. If 50 members from the sample used the course at least once a​ week, does this support the historical records of course​ usage? Select the correct choice below​ and, fill in the answer box to complete your choice.

​(Round to four decimal places as​ needed.)

A.​No, since the probability of obtaining a result this large or larger is BLANK ​, given that the historical records give an accurate estimation of course usage.

B.​Yes, since the probability of obtaining a result this small or smaller is BLANK ​, given that the historical records give an accurate estimation of course usage.

C.​Yes, since the probability of obtaining a result this large or larger is BLANK​, given that the historical records give an accurate estimation of course usage.

D.​No, since the probability of obtaining a result this small or smaller is BLANK​, given that the historical records give an accurate estimation of course usage.

Click to select your answer(s).

Answer 1