Question

Use the sample data and confidence level given below to complete parts (a) through (d).

A research institute poll asked respondents if they acted to annoy a bad driver. In the poll,

n equals 2528 comman=2528,

and

x equals 1199x=1199

who said that they honked. Use a

99 %99%

confidence level.

a) Find the best point estimate of the population proportion p.

b) Identify the value of the margin of error E

E=

c) Construct the confidence interval.

_<p<_

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

A.

One has

9999 %

confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

B.

9999 %

of sample proportions will fall between the lower bound and the upper bound.

C.

There is a

9999 %

chance that the true value of the population proportion will fall between the lower bound and the upper bound.

D.

One has

9999 %

confidence that the sample proportion is equal to the population proportion.

Answer 1

Use the sample data and confidence level given below to complete parts (a) through (d).

A research institute poll asked respondents if they acted to annoy a bad driver. In the poll,

n equals 2528 comman=2528,and x=1199 who said that they honked. Use a

99 %confidence level.

a) Find the best point estimate of the population proportion p.

p=1199/2528 = 0.4743

b) Identify the value of the margin of error E

E=0.0256

c) Construct the confidence interval.

0.4487 <p< 0.4999

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

Answer: A.One has 99 %confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

B. 99 %of sample proportions will fall between the lower bound and the upper bound.

C.There is a 99 %chance that the true value of the population proportion will fall between the lower bound and the upper bound.

D.One has 99 %confidence that the sample proportion is equal to the population proportion.

Confidence Interval Estimate for the Proportion
Data
Sample Size	2528
Number of Successes	1199
Confidence Level	99%
Intermediate Calculations
Sample Proportion	0.4743
Z Value	2.576
Standard Error of the Proportion	0.0099
Interval Half Width	0.0256
Confidence Interval
Interval Lower Limit	0.4487
Interval Upper Limit	0.4999