Describe the sampling distribution of p Assume the size of t

Describe the sampling distribution of p. Assume the size of the population is 30,000. n=1100:p = 0.447 Describe the shape of the sampling distribution of p. Choose the correct answer below. The shape of the sampling distribution of p is not normal because n

Solution

1.

As

1100/30000 = 0.036666667 < 0.05,

and

np(1p) = 1100*0.447*(1-0.447) = 271.9101 >= 10,

then it is APPROXIMATELY NORMAL.

Thus, it is OPTION C. [ANSWER, C]

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2.

It is the same as the population proportions,

u(p^) = 0.447 [ANSWER]

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3.

Also,

sigma(p^) = sqrt(p(1-p)/n) = sqrt(0.447*(1-0.447)/1100)

= 0.014990633

= 0.015 [ANSWER]