At least one of the answers above is NOT correct (1 point) A poll is taken in wh
ID: 3320928 • Letter: A
Question
At least one of the answers above is NOT correct (1 point) A poll is taken in which 359 out of 550 randomly selected voters indicated their preference for a certain candidate (a) Find a 99% confidence interval for p. 0.600 (b) Find the margin of error for this 99% confidence interval for p. interval. (c) without doing any calculations, indicate whether the margin of error is larger or smaller or the same for an 80% O A. smaller B. larger C.same Note: You can earn partial credit on this problem. CorrectAnswersExplanation / Answer
p = 359/550 n = 550
(a) z for 99% = 2.576.
LCL = 359/550 - 2.576 * (359/550 * 191/550 / 550)
= 0.600.
UCL = 359/550 + 2.576 * (359/550 * 191/550 / 550)
= 0.705.
(b) The margin of error is: 2.576 * (359/550 * 191/550 / 550)
= 0.0523.
(c) If the confidence level decreases, so does the z value and hence the margin of error also decreases.
A. smaller.
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