1) Construct a confidence interval of the population proportion at the given level of confidence.

x=540, n=1200, 94% confidence

The lower bound of the confidence interval is

(Round to the nearest thousandth as needed.)

The upper bound of the confidence interval is

(Round to the nearest thousandth as needed.)

2) Compute the critical value z/2 that corresponds to a 98% level of confidence.

z/2=enter your response here

(Round to two decimal places as needed.)

3)Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided.

Lower bound=0.276, upper bound=0.504, n=1500

The point estimate of the population proportion is

(Round to the nearest thousandth as needed.)

The margin of error is

(Round to the nearest thousandth as needed.)

The number of individuals in the sample with the specified characteristic is

(Round to the nearest integer as needed.)

4) Construct a 90% confidence interval of the population proportion using the given information.

x=40,n=200

The lower bound is

The upper bound is

(Round to three decimal places as needed.)

5)A national survey of 1000 adult citizens of a nation found that 20% dreaded Valentine's Day. The margin of error for the survey was 5.9 percentage points with 90% confidence. Explain what this means.

Which statement below is the best explanation?

A. There is 90% confidence that 20% of the adult citizens of the nation dreaded Valentine's Day.

B. There is 84.1% to 95.9% confidence that 20% of the adult citizens of the nation dreaded Valentine's Day.

C.There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between

0.141 and 0.259.

D. In 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.141 and

0.259.

6) A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.02 with 95% confidence if

(a) she uses a previous estimate of 0.28?

(b) she does not use any prior estimates?

(a) n=

(Round up to the nearest integer.)

(b) n=

(Round up to the nearest integer.)

7) A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 5 percentage points with 95% confidence if

(a) he uses a previous estimate of 24%?

(b) he does not use any prior estimates?

(a) n=

(Round up to the nearest integer.)

(b) n=

(Round up to the nearest integer.)