Part A part 1.Instead of 40, if 60 of the 100 people had stated that the main re

Question

Part A part 1.Instead of 40, if 60 of the 100 people had stated that the main reason they had visited the store was because the store is running a sale on coats that week. The width of the 95% confidence interval would _______ .

Part B part 2.Over several years, students of Professor Robin Lock have flipped a large number of coins and recorded whether the flip landed heads or tails. As reported in a 2002 issue of Chance News, these students had observed 14,709 heads in a total of 29,015 flips. Calculate the standardized value of this statistic for testing whether the long-run proportion of heads differs from 0.50.

Explanation / Answer

Part A

Given x=60 and n=100

p=x/n =0.6

95% confidence interval

where z=1.96

Hence 95% confidence interval is (0.504, 0.696)

Part B)

Given x=14709

and n=29015

then p=x/n =0.51

test statistic:

where p=0.51 and p hat=0.5

Hence z=2.3659

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