This Question: 14 pts | 18of24(16 complete) This Quiz: 250 pt In a survey of 410

Question

This Question: 14 pts | 18of24(16 complete) This Quiz: 250 pt In a survey of 4100 adults, 722 say they have seen a ghost. Construct a 99% confidence interval for the population proportion. Interpret the result A 99% confidence interval for the population proportion is d0161|(0191 (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below A with 99% probability, the population proportion of adults who say they have not seen a ghost is between the end its of the given confidence interv B. With 99% confidence it can be said that the sample proportion of adults who say they have seen a host is between the endpoints of the g en confidence C. With 99% confidence, it can be said that the population proportion of adults who say they have seen a ghost is between the endpoints of the given D. The endpoints of the given confidence interval show that 99% of adults have seen a ghost. tena Click to select your answer(s) 12/1 Type here to search

Explanation / Answer

Standard error,SE = sqrt(p*(1-p)/n)= sqrt((722/4100)*(1-722/4100)/4100) = 0.0059487

For 0.01 significance level, z* = 2.58

99%CI = p +/- (z) * SE = 722/4100 +/- 2.58*0.0059487 = 0.161,0.191

With 99% confidence, it can be said that the population proportion of adults who say they have seen a ghost is between the end points of the given confidence interval

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