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Chapter 7: Q 49. (page 464)

The sampling distribution of p^ is approximately Normal because

a. there are at least 7500 Division I college athletes.

b. np=225 and n(1鈭�p)=525 are both at least 10

c. a random sample was chosen.

d. the athletes鈥� responses are quantitative.

e. the sampling distribution of p^ always has this shape.

Short Answer

Expert verified

The correct option is (b) np=225 and n(1鈭�p)=525 are both at least 110

Step by step solution

01

Given information

p=30%=0.30n=750
02

Calculation

np=750(0.30)=225n(1鈭�p)=750(1鈭�0.30)=525

Because both are at least10 and the sampling distribution of the sample fraction is approximately normal, the normal distribution is satisfied.

Hence, the correct option is (b)

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