A random sample of size 160 taken from a population yields a proportion equal to 0.36 Complete parts a through d below. Click the icon to view a table of critical values for commonly used confidence levels.

a. Determine if the sample size is large enough so that the sampling distribution can be approximated by a normal distribution.

Since np overbar= and n(1p overbar p)= , the sample size (is not) or (is) large enough.

(Round to the nearest whole number asneeded.)

b. Construct a 90% confidence interval for the population proportion.

? ------?

(Round to three decimal places as needed. Use ascendingorder.)

c. Interpret the confidence interval calculated in part b.

Which statement below correctly interprets the confidenceinterval?

A.

There is a 0.90 probability that the population proportion is in the interval.

B.

There is 90% confidence that the population proportion is in the interval.

C.

There is a 0.90 probability that the sample proportion is in the interval.

D.

Of all the possible populationproportions, 90% are in the interval.

d. Produce the margin of error associated with this confidence interval.

e=?

(Round to three decimal places asneeded.)