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Chapter 8: Q 8.28 (page 330)

Find the confidence level and 伪for

a. 85%confidence interval.

b. 95%confidence interval

Short Answer

Expert verified

a. Confidence level is 0.85and 伪=0.15

b. Confidence level is0.95and伪=0.05.

Step by step solution

01

Given Information

We are given with two confidence intervals85%and95%.

02

Calculation of confidence level and α for 85% confidence interval

We know that

For 100(1-a)%confidence interval, confidence interval is 1-a(0<a<1)

85%confidence level implies localid="1652458855600" 100脳0.85%confidence interval.

鈬�1-伪=0.85

and

伪=1-0.85=0.15

03

Calculation of confidence level and α for 95% confidence interval

95%confidence interval implies 100脳0.95%confidence interval.

鈬�1-伪=0.95

Hence, confidence interval is 0.95

and伪=1-0.95=0.05

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Most popular questions from this chapter

American Alligators. Refer to Exercise 8.78.

a. Determine the margin of error for the 95%confidence interval.

b. Determine the margin of error for the 99%confidence interval.

c. Compare the margins of error found in parts (a) and (b).

d. What principle is being illustrated?

Poverty and Dietary Calcium. Refer to Exercise 8.70.

a. Find a 90%confidence interval for 渭.

b. Why is the confidence interval you found in part (a) shorter than the one in Exercise 8.70?

c. Draw a graph similar to that shown in Fig8.6 on page 326 to display both confidence intervals.

d. Which confidence interval yields a more accurate estimate of 渭? Explain your answer.

The margin of error can be determined if you know only the confidence level, population standard deviation, and sample size.

A simple randoes sample is taken from a population and yields the following data for a variable of the population:

Find a point estimatate for the population mean.(i.e, the mean of the variable)

Suppose that you have obtained data by taking a random sample from a population. Before performing a statistical inference, what should you do?
See all solutions

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