A planning board in Elm County is interested in estimating the proportion of its residents that are in favor of offering incenti
ves to high-tech industries to build plants in that county. A random sample of Elm County residents was selected. All of the selected residents were asked, "Are you in favor of offering incentives to high-tech industries to build plants in your county?" A 95 percent confidence interval for the proportion of residents in favor of offering incentives was calculated to be 0.54 ± 0.05. Which of the following statements is correct? (As an added challenge: Can you find the mistakes in the incorrect statements?) a) At the 95% confidence level, the estimate of 0.54 is within 0.05 of the true proportion of county residents in favor of offering incentives to high-tech industries to build plants in the county.
b) At the 95% confidence level, the majority of area residents are in favor of offering incentives to high-tech industries to build plants in the county.
c) In repeated sampling, 95% of the sample proportions will fall in the interval (0.49, 0.59).
d) In repeated sampling, the true proportion of county residents in favor of offering incentives to high-tech industries to build plants in the county will fall in the interval (0.49, 0.59).
e) In repeated sampling, 95% of the time the true proportion of county residents in favor of offering incentives to high-tech industries to build plants in the county will be equal to 0.54.
In repeated sampling,the true proportion of country residents in favor of offering incentives to high-tech industries to build plants in the country will fall in the interval (0.49,0.59)
if the block is cut after it’s been painted, two sides with the same measurements don’t have glitter on them. you find the area of the one rectangle and multiply it by 2 as follows: A = length • width A = 10 • 8 = 80 area that needs to be covered = 80 • 2 = 160 square inches
