A researcher is investigating the frequency of homes being hit by lightning. Suppose that (unbeknownst to the researcher) 1 out of 200 houses per year are struck by lightning.

(a) How large a sample size does the researcher need for the standard deviation of a sample proportion of lightning strikes per year to be no larger than 0.001? (Hint: solve the standard deviation formula for n.

b)How can we interpret the number calculated above? It estimates the typical difference between a sample proportion and 1/200.It estimates the typical number of lightning strikes per year.It estimates the typical difference between the number of lightning strikes per year and 200.It estimates the typical distance between two lightning strikes.

c) If the researcher wanted the standard deviation above to be half as large (to be 0.0005), how much larger would the sample size need to be? ______ times as large.