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.       Question content area bottom Part 1 a. Calculate the standard error of the proportion.   σp=enter your response here ​(Round to four decimal places as​ needed.) Part 2 b. What is the probability that 33 or more members from the sample used the course at least once a​ week?   ​P(33 or more ​members)=enter your response here ​(Round to four decimal places as​ needed.) Part 3 c. What is the probability that between 30 and 40 members from the sample used the course at least once a​ week?   ​P(Between 30 and 40 ​members)=enter your response here ​(Round to four decimal places as​ needed.) Part 4 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 small or smaller is enter your response here​, 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 enter your response here​, given that the historical records give an accurate estimation of course usage.   C. ​No, since the probability of obtaining a result this large or larger is enter your response here​, given that the historical records give an accurate estimation of course usage.   D. ​Yes, since the probability of obtaining a result this large or larger is enter your response here​, given that the historical records give an accurate estimation of course usage.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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.
 
 
 

Question content area bottom

Part 1
a. Calculate the standard error of the proportion.
 
σp=enter your response here
​(Round to four decimal places as​ needed.)
Part 2
b. What is the probability that
33
or more members from the sample used the course at least once a​ week?
 
​P(33
or more
​members)=enter your response here
​(Round to four decimal places as​ needed.)
Part 3
c. What is the probability that between
30
and
40
members from the sample used the course at least once a​ week?
 
​P(Between
30
and
40
​members)=enter your response here
​(Round to four decimal places as​ needed.)
Part 4
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 small or smaller is
enter your response here​,
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
enter your response here​,
given that the historical records give an accurate estimation of course usage.
 
C.
​No, since the probability of obtaining a result this large or larger is
enter your response here​,
given that the historical records give an accurate estimation of course usage.
 
D.
​Yes, since the probability of obtaining a result this large or larger is
enter your response here​,
given that the historical records give an accurate estimation of course usage.
 
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