PRACTICE OF STATISTICS F/AP EXAM
PRACTICE OF STATISTICS F/AP EXAM
6th Edition
ISBN: 9781319113339
Author: Starnes
Publisher: MAC HIGHER
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Chapter 8.2, Problem 35E

a)

To determine

To findthe critical value z for 98% confidence interval for a proportion.

a)

Expert Solution
Check Mark

Answer to Problem 35E

The critical value z for 98% confidence interval for a proportion is 2.33

Explanation of Solution

Given:

  x=914n=4579

Confidence level = 0.98

The confidence level = 0.98.

So, level of significance = 0.02

The zc critical value = 2.33 …Using excel formula, =ABS(NORMSINV(0.02/2))

b)

To determine

To construct 98% confidence interval for a proportion.

b)

Expert Solution
Check Mark

Answer to Problem 35E

The 98% confidence interval for a proportion is 0.1859 < p < 0.2133

Explanation of Solution

Given:

  x=914n=4579

Confidence level = 0.98

The zc critical value = 2.33

Formula:

Sample proportion:

  p^=xn

Margin of error:

  E=Zα/2×p^(1p^)n

The confidence interval:

  (p^E,p^+E)

The sample proportion is,

  p^=9144579=0.1996

The margin of error is,

  E=2.33×0.1996(10.1996)4579E=0.0137

The confidence interval is,

  (0.19960.0137,0.1996+0.0137)(0.1859,0.2133)

Hence, the 98% confidence interval for population proportion is 0.1859 < p < 0.2133

c)

To determine

To interpret confidence interval.

c)

Expert Solution
Check Mark

Answer to Problem 35E

We are 98% confident that the true population proportion is between 0.1859 and 0.2133

Explanation of Solution

Given:

The 98% confidence interval for population proportion is 0.1859 < p < 0.2133

We are 98% confident that the true population proportion of all American adults who would report having earned money by selling something online in the previous year is between 0.1859 and 0.2133

Chapter 8 Solutions

PRACTICE OF STATISTICS F/AP EXAM

Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Prob. 68ECh. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Prob. 73ECh. 8.3 - Prob. 74ECh. 8.3 - Prob. 75ECh. 8.3 - Prob. 76ECh. 8.3 - Prob. 77ECh. 8.3 - Prob. 78ECh. 8.3 - Prob. 79ECh. 8.3 - Prob. 80ECh. 8.3 - Prob. 81ECh. 8.3 - Prob. 82ECh. 8.3 - Prob. 83ECh. 8.3 - Prob. 84ECh. 8.3 - Prob. 85ECh. 8.3 - Prob. 86ECh. 8 - Prob. R8.1RECh. 8 - Prob. R8.2RECh. 8 - Prob. R8.3RECh. 8 - Prob. R8.4RECh. 8 - Prob. R8.5RECh. 8 - Prob. R8.6RECh. 8 - Prob. R8.7RECh. 8 - Prob. R8.8RECh. 8 - Prob. R8.9RECh. 8 - Prob. T8.1SPTCh. 8 - Prob. T8.2SPTCh. 8 - Prob. T8.3SPTCh. 8 - Prob. T8.4SPTCh. 8 - Prob. T8.5SPTCh. 8 - Prob. T8.6SPTCh. 8 - Prob. T8.7SPTCh. 8 - Prob. T8.8SPTCh. 8 - Prob. T8.9SPTCh. 8 - Prob. T8.10SPTCh. 8 - Prob. T8.11SPTCh. 8 - Prob. T8.12SPTCh. 8 - Prob. T8.13SPT
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