A December 11, 2018 Gallup article has the headline, "One in Four Americans Have Experienced Cybercrime." A deeper dive into the data behind the article reveals that the study was based on a random sample of 1050 adults who responded yes or no to the question, "In the past 12 months, have you or another household member had personal, credit card or financial information stolen by computer hackers?" In the survey, 242 people responded "yes."
a. Find the point estimate of the proportion of the population who were victims. Round your answer to 3 decimal places. Do not convert to a percentage.
b. Find the standard error of this estimate. Round your answer to 4 decimal places.
Standard error =
c. Find the margin of error for the 95% confidence interval. Round your answer to 4 decimal places.
Margin of error =
d. Construct the 95% confidence interval for the population proportion. Use interval notation, smaller number first, each rounded to 3 decimal places. Do not convert to percentages.
(, )
e. Based on your result, would you say this article has an appropriate headline? Choose the best answer.
a. Find the point estimate of the proportion of the population who were victims. Round your answer to 3 decimal places. Do not convert to a percentage.
b. Find the standard error of this estimate. Round your answer to 4 decimal places.
Standard error =
c. Find the margin of error for the 95% confidence interval. Round your answer to 4 decimal places.
Margin of error =
d. Construct the 95% confidence interval for the population proportion. Use interval notation, smaller number first, each rounded to 3 decimal places. Do not convert to percentages.
(, )
e. Based on your result, would you say this article has an appropriate headline? Choose the best answer.