Question

A planning board in Oak County is interested in estimating the proportion of its residents in favor of offering incentives to environmentally friendly industries to build plants in that county. A random sample of Oak County residents was selected. All the selected residents were asked, "Are you in favor of offering incentives to environmentally friendly industries to build plants in your county?" A 90% confidence interval for the proportion of residents in favor of offering incentives was calculated to be 0.62 ± 0.06. Which of the following statements is correct?

At the 90% confidence level, the estimate of 0.62 is within 0.06 of the true proportion of county residents in favor of offering incentives to environmentally friendly industries to build plants in the county.

At the 90% confidence level, the majority of area residents are in favor of offering incentives to environmentally friendly industries to build plants in the county.

In repeated sampling, 90% of sample proportions will fall in the interval (0.56, 0.68).

In repeated sampling, the true proportion of county residents in favor of offering incentives to environmentally friendly industries to build plants in the county will fall in the interval (0.56, 0.68).

In repeated sampling, 90% of the time, the true proportion of county residents in favor of offering incentives to environmentally friendly industries to build plants in the county will be equal to 0.62.

Answer 1

Dear student , please like it.

Thanks.