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A nationwide poll conducted in March 2021 asked a random sample of 900 respondents To what extent has your own life been affected or disrupted

A nationwide poll conducted in March 2021 asked a random sample of 900 respondents "To what extent has your own life been affected or disrupted by the coronavirus situation? Quite a bit or not much?" 70% of respondents said "quite a bit" and 30% said "not much". [20 points] a. Calculate the standard error for this poll. For the standard error calculation, follow the convention among pollsters by using a proportion of .5. b. What is the margin of error for this poll? c. What is the confidence interval for this poll's estimate of the % of people whose life has been affected by COVID? d. Can we be 95% sure that a majority (more than 50%) of Americans believe their life was significantly disrupted by COVID? (You can answer this by calculating the z-score, or by using the confidence interval from above.)

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