Question

A research company conducts a poll in a particular geographical area asking adults to imagine a ladder with 10 rungs. Rung 0 represents the worst possible life and rung 10 represents the best possible life. Respondents are asked what rung they would say they are on. Responses are classified as​ "Thriving" (standing on rung 7 or higher and expecting to be on rung 8 or higher five years from​ now), "Suffering"​ (standing on rung 4 or lower and expecting to be on rung 4 or lower 5 years from​ now), or​"Struggling" (not thriving or​ suffering). From a sample of 1,200 people, results found 55​% of respondents considered themselves to be​ "thriving." Complete parts a and b below.
a) Calculate the margin of error for the proportion of adults in this particular geographical area who were rated as​ "thriving" for 90% confidence.

ME= ____ (round to 3 decimal places as needed.)

b) Would the margin of error be larger or smaller for 80​%​confidence? Choose one.

A. To be less ​confident, the interval needs to contain the true proportion less ​often, so the margin of error would be larger.
B. To be less ​confident, the interval needs to contain the true proportion more ​often, so the margin of error would be larger.
C. To be less confident, the interval needs to contain the true proportion less ​often, so the margin of error would be smaller.
D. To be less​ confident, the interval needs to contain the true proportion more​ often, so the margin of error would be smaller.

Answer 1

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