Question

A biotechnology firm is planning its investment strategy for future products and research labs. A poll found that 99​% of a random sample of 1022 adults approved of attempts to clone a human. Use this information to complete parts a through e.

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a) Find the margin of error for this poll if we want 95​% confidence in our estimate of the percent of adults who approve of cloning humans.

ME = ________________(round to three decimal places)

b) Explain what the margin of errors means

A. The pollsters are 95​% confident that the true proportion of adults who approve of attempts to clone a human is within the margin of error of the estimated 9​%.

B. The pollsters are 95​% confident that the margin of error contains the true proportion of adults who approve of attempts to clone a human.

C. The margin of error is the width of the confidence interval that contains the true proportion of adults who approve of attempts to clone a human.

D. The margin of error is the value that should be subtracted from the 95​% confidence level to obtain the​ pollsters' true confidence level.

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c) If we need to be 99​% ​confident, will the margin of error be larger or​ smaller

A. A 99​% confidence interval requires a smaller margin of error. Upper A wider interval leads to decreased confidence.

B. A 99​% confidence interval requires a larger margin of error. In order to increase confidence, the interval must be narrower.

C. A 99​% confidence interval requires a smaller margin of error. Upper A narrower interval leads to decreased confidence.

D. A 99​% confidence interval requires a larger margin of error. In order to increase confidence, the interval must be wider.

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d) Find that margin of error.

ME = ____________________ (round to three decimal places)

e) In​ general, if all other aspects of the situation remain the​ same, would smaller samples produce smaller or larger margins of​ error?

1. Smaller samples produce larger margins of error
2. Smaller samples produce smaller margins of error

Answer 1