A researcher wishes to estimate, with 95% confidence, the proportion of people who own a home computer. A previous study took interviewed 100 people and results found that 40 of those interviewed had a computer at home. a. Find the best point estimate of the population proportion p. b. Identify the value of the margin of error E. c. Construct the confidence interval. d. Which of the following statements correctly interprets the confidence interval? i. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound. ii. 95% of sample proportions will fall between the lower bound and the upper bound. iii. One has 95% confidence that the sample proportion is equal to the population proportion. iv. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
7. A researcher wishes to estimate, with 95% confidence, the proportion of people who own a home computer. A previous study took interviewed 100 people and results found that 40 of those interviewed had a computer at home.
a. Find the best point estimate of the population proportion p.
b. Identify the value of the margin of error E.
c. Construct the confidence interval.
d. Which of the following statements correctly interprets the confidence interval?
i. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
ii. 95% of sample proportions will fall between the lower bound and the upper bound.
iii. One has 95% confidence that the sample proportion is equal to the population proportion.
iv. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
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