Maggie computes a 95% confidence interval for p and obtains the interval (0.50, 0.75]. Note: Parts (a) and (b) are not connected: Part (b) can be answered even if one does not know how to do part (a). (a) Maggie's boss says, "Give me a 95% con- fidence interval for p2." Calculate the an- swer for Maggie. (Hint: The interval says, in part, that "p is at most 0.75;" what does this tell us about p2?) (b) Maggie's boss says, "Give me a 95% con- fidence interval for p – q." Calculate the answer for Maggie (Hint: n

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Maggie computes a 95% confidence interval for
p and obtains the interval [0.50, 0.75]. Note:
Parts (a) and (b) are not connected: Part (b) can
be answered even if one does not know how to
do part (a).
(a) Maggie's boss says, "Give me a 95% con-
fidence interval for p2." Calculate the an-
swer for Maggie. (Hint: The interval says,
in part, that "p is at most 0.75;" what does
this tell us about p2?)
(b) Maggie's boss says, "Give me a 95% con-
fidence interval for p – q." Calculate the
answer for Maggie. (Hint: p – q = p –
(1 – p)
part, that "p is at most 0.75;" what does
this tell us about 2p – 1?)
|
-
2p – 1. The interval says, in
-
Transcribed Image Text:Maggie computes a 95% confidence interval for p and obtains the interval [0.50, 0.75]. Note: Parts (a) and (b) are not connected: Part (b) can be answered even if one does not know how to do part (a). (a) Maggie's boss says, "Give me a 95% con- fidence interval for p2." Calculate the an- swer for Maggie. (Hint: The interval says, in part, that "p is at most 0.75;" what does this tell us about p2?) (b) Maggie's boss says, "Give me a 95% con- fidence interval for p – q." Calculate the answer for Maggie. (Hint: p – q = p – (1 – p) part, that "p is at most 0.75;" what does this tell us about 2p – 1?) | - 2p – 1. The interval says, in -
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