Question

1.A center surveyed 1,010 adults and found that 21% of smartphone owners say they don't have lock screens on their devices. Part 1 of 3 Use a table or technology to answer the following. (Round your answers to three decimal places.) (i) Calculate the margin of error associated with the 21% at the 99% confidence level. (ii) Calculate the margin of error associated with the 21% at the 90% confidence level. (iii) What is the difference in these margins of errors? Why would this happen?

2.Companies are looking to fill the management ranks with millennials and Gen X-ers. This translates to an increasing probability that older workers will be answering to managers young enough to be their children. A Harris Interactive survey on behalf of CareerBuilder found that 38% of American workers had a younger boss.†Assuming a possible random sample of 5,000 adults and a 5% margin of error, construct and interpret a confidence interval statement as well as a confidence level statement.

Answer 1

Solution:

(i) Calculate the margin of error associated with the 21% at the 99% confidence level.

Answer:

(ii) Calculate the margin of error associated with the 21% at the 90% confidence level.

Answer:

(iii) What is the difference in these margins of errors? Why would this happen?

Answer: The margin of error for the 99% confidence level is more than the margin of error for the 90% confidence level. This is because the margin of error increases as the confidence level increases.

2. Companies are looking to fill the management ranks with millennials and Gen X-ers. This translates to an increasing probability that older workers will be answering to managers young enough to be their children. A Harris Interactive survey on behalf of CareerBuilder found that 38% of American workers had a younger boss.†Assuming a possible random sample of 5,000 adults and a 5% margin of error, construct and interpret a confidence interval statement as well as a confidence level statement.

Answer: The confidence interval is: