A magazine reported the results of a random telephone poll commissioned by a television network. Of the 1435 men whoresponded, only 46 said that their most important measure of success was their work. Complete parts a and b.

a)Estimate the percentage of all males who measure success primarily from their work. Use a 99.9% confidence interval.Don't forget to check the conditions first.

%,

%

(Type integers or decimals. Round to one decimal place asneeded.)

b)Some believe that few contemporary men judge their success primarily on work. Suppose we wished to conduct a hypothesis test to see if the fraction has fallen below the 6% mark. What does your confidence intervalindicate? Explain.

Choose the correct answer below.

A.

Since 6% is in theinterval, there is strong evidence that more than 6% of all men use work as their primary measure of success.

B.

Since 6% is in theinterval, there is strong evidence that fewer than 6% of all men use work as their primary measure of success.

C.

Since 6% is not in theinterval, there is strong evidence that fewer than 6% of all men use work as their primary measure of success.

D.

Since 6% is not in theinterval, there is strong evidence that more than 6% of all men use work as their primary measure of success.