# the Wall Street Journal reported that the age at first startup for 55% of entrepreneurs was29 years of age or less and the age at first startup for 45% of entrepreneurs was 30 yearsof age or more (the Wall Street Journal, March 19, 2012).a. Suppose a sample of 200 entrepreneurs will be taken to learn about the most importantqualities of entrepreneurs. Show the sampling distribution of p where p is the sampleproportion of entrepreneurs whose first startup was at 29 years of age or less.b. What is the probability that the sample proportion in part (a) will be within ±.05 ofits population proportion?c. Suppose a sample of 200 entrepreneurs will be taken to learn about the most importantqualities of entrepreneurs. Show the sampling distribution of p where p is now thesample proportion of entrepreneurs whose first startup was at 30 years of age or more.

Question

the Wall Street Journal reported that the age at first startup for 55% of entrepreneurs was
29 years of age or less and the age at first startup for 45% of entrepreneurs was 30 years
of age or more (the Wall Street Journal, March 19, 2012).
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.
b. What is the probability that the sample proportion in part (a) will be within ±.05 of
its population proportion?
c. 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.

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