A magazine provided results from a poll of 302 who were asked to identify their favorite pie adults out of a population of 8,426 persons. Among the respondents, 4% chose chocolate pie. If the confidence level is 96%, use the Wilson score of asymptotic variance method without continuity correction to calculate the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie. S
A magazine provided results from a poll of 302 who were asked to identify their favorite pie adults out of a population of 8,426 persons. Among the respondents, 4% chose chocolate pie. If the confidence level is 96%, use the Wilson score of asymptotic variance method without continuity correction to calculate the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie. Show that the normal approximation to the hypergeometric distribution is applicable. Use the normal table and linear interpolation to determine the critical value.
Enter the lower bound of the confidence interval as a percentage without the % sign. (Round your percentage to the nearest tenth.)
Obtain the critical value:
The given confidence level is 100*(1–α)% = 96%.
The critical value corresponding to the 96% confidence level is obtained as z(α/2) = ±2.05 from the calculation given below:
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