Question

A random sample is to be selected from a population that has a proportion of successes p = 0.69. Determine the mean and standard deviation of the sampling distribution of p̂ for each of the following sample sizes. (Round your standard deviations to four decimal places.)

(a)    n = 30

mean
standard deviation

(b)    n = 40

mean
standard deviation

(c)    n = 50

mean
standard deviation

(d)    n = 70

mean
standard deviation

(e)    n = 120

mean
standard deviation

(f)    n = 220

mean
standard deviation

Answer 1

p = 0.69

a)

n = 30

Mean = p = 0.69

Standard deviation is

b)

n = 40

Mean = p = 0.69

Standard deviation is

c)

n = 50

Mean = p = 0.69

Standard deviation is

d)

n = 70

Mean = p = 0.69

Standard deviation is

e)

n = 120

Mean = p = 0.69

Standard deviation is

f)

n = 220

Mean = p = 0.69

Standard deviation is

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