Question

It has been observed that some persons who suffer from common colds are diagnosed with it again within one year of the first episode. This is due, in part, to damage from the first episode. In order to examine the percentage of the persons who suffer from common colds a second time, a random sample of 1000 people who suffered from common colds was collected. It was observed that 14 of them again suffered from common colds within one year. Select a 90% confidence interval for the true proportion of those who suffer a second episode.

a) [0.0129, 0.0301]

b) [0.00786, 0.0201]

c) [0.00886, 0.0701]

d) [0.0109, 0.0501]

e) [0.00886, 0.0401]

f) None of the above

Part 2

Mars Inc. claims that they produce M&Ms with the following distributions:

Brown	30%	Red	20%	Yellow	20%
Orange	10%	Green	10%	Blue	10%

How many M&Ms must be sampled to construct the 97% confidence interval for the proportion of yellow M&Ms in that bag if we want a margin of error of ± .11?

a) 47

b) 46

c) 63

d) 68

e) 62

f) None of the above

Answer 1

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