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Chapter 8: Q.119 (page 490)

According to a recent survey of 1,200 people, 61% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job.

a. Define the random variables X and P鈥� in words.

b. Which distribution should you use for this problem? Explain your choice.

c. Construct a 90% confidence interval for the population proportion of people who feel the president is doing an acceptable job.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

Short Answer

Expert verified

a. Xand P鈥�denote the individuals.

b. Distribution is out of1200individuals.

c. (i) CI=(0.58684,0.63316)

(ii) The graph has been shown

(iii) EBM=0.02316

Step by step solution

01

part (a) Explanation

The individuals who feel that the president is doing an acceptable job are denoted by X.

P鈥�denotes the individuals who think the president is doing a suitable job.

02

part (b) explanation

Distribution is out of 1200individuals

role="math" localid="1650865312144" 鈬�N0.61,0.61脳0.391200
03

part (c) explanation

(i) The confidence interval is

x=732,n=1200

Confidence level is90%

鈬�(0.58684,0.63316)

(ii) The graph is shown

(iii) The error bound is

EBM=Upper limit-lower limit2EBM=0.63316鈭�0.586842

鈬�EBM=0.02316

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