Question

The Wall Street Journal reported that the age at first startup for 30% of entrepreneurs was 29 years of age or less and the age at first startup for 70% of entrepreneurs was 30 years of age or more.

(a)	Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is the sample proportion of entrepreneurs whose first startup was at 29 years of age or less. If required, round your answers to four decimal places.
	np =
	n(1-p) =
	E(p) =
	σ(p) =
(b)	Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more. If required, round your answers to four decimal places.
	np =
	n(1-p) =
	E(p) =
	σ(p) =
(c)	Are the standard errors of the sampling distributions different in parts (a) and (b)?
	Yes or No
	Justify your answer.

Answer 1

(а) пр= 200 x 0.30-60 (1-p) 140 E(p)-p 0.30 p(1-p0.30x0.60 0.0324 200 (b) np=200x 0.70-140 n(1-P) 60 E(p)= p= 070 p(1-p)- |0.70×0.30 -0.0324 200 (c) No