Question

A parks and recreational board in Birch County is interested in estimating the proportion of its residents in favor of having more public parks in that county. A random sample of Birch County residents was selected. All the selected residents were asked, "Are you in favor of having more public parks in your county?" A 98% confidence interval for the proportion of residents in favor of having more public parks in that county was calculated to be 0.54 + 0.03. Which of the following statements is correct? (4 points) 11 At the 98% confidence level, the majority of area residents is in favor of having more public parks in that county. At the 98% confidence level, the estimate of 0.54 is within 0.03 of the true proportion of county residents in favor of having more public parks in that county. 3) In repeated sampling, 98% of sample proportions will fall in the interval (0.51, 0.57). 4) In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57). In repeated sampling, 98% of the time the true proportion of county 5) residents in favor of having more public parks in that county will be equal to 0.54.

Answer 1

Lower limit = 0.54-0.03 = 0.51

Upper limit = 0.54+0.03 = 0.57

Ans : Option 3.