Ron flips a coin n 1 times and Freda flips a coin n 2 times. We can
Question:
Ron flips a coin n1 times and Freda flips a coin n2 times. We can assume all coin flips are fair: The coin has an equal chance of landing heads or tails. In each of the following cases, state whether inference for a difference in proportions is appropriate using the methods of this section. If so, give the mean and standard error for the distribution of the difference in proportions (p̂1 − p̂2) and state whether the normal approximation is appropriate.
(a) Let p̂1 be the proportion of Ron’s flips that land heads and p̂2 be the proportion of Freda’s flips that land heads; n1 = 100 and n2 = 50.
(b) Let p̂1 be the proportion of Ron’s flips that land heads and p̂2 be the proportion of Ron’s flips that land tails; n1 = 100.
(c) Let p̂1 be the proportion of Ron’s flips that land heads and p̂2 be the proportion of Freda’s flips that land tails; n1 = 200 and n2 = 200.
(d) Let p̂1 be the proportion of Ron’s flips that land tails and p̂2 be the proportion of Freda’s flips that land tails; n1 = 5 and n2 = 10.
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Statistics Unlocking The Power Of Data
ISBN: 9780470601877
1st Edition
Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock