Suppose a journal reported that the age at first startup for 45% of entrepreneurs was 29 years of age or less and the age at first startup for 55% of entrepreneurs was 30 years of age or more. (Round your answers for

_p

to four decimal places.)

(a)

Suppose a sample of 240 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.

Since np = and n(1 p) = , approximating the sampling distribution with a normal distribution ---Select--- is is not appropriate in this case. The mean and standard error of the sampling distribution are

E(p) =

and

_p = .

(b)

Suppose a sample of 240 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.

Since np = and n(1 p) = , approximating the sampling distribution with a normal distribution ---Select--- is is not appropriate in this case. The mean and standard error of the sampling distribution are

E(p) =

and

_p = .

(c)

Are the standard errors of the sampling distributions different in parts (a) and (b)?

The standard errors of the sampling distributions are different in parts (a) and (b).The standard errors of the sampling distributions are not different in parts (a) and (b).