In a Pew Research poll, 287 out of 522 randomly selected U.S. men were able to identify Egypt when it was highlighted on a map of the Middle East. When 520 randomly selected U.S. wornen were asked, 233 were able to do so. Let Pi and p: be the proportion of all inen and women who can identify Egypt on a map. Construct and interpret a 95% confidence interval for p Pz- (0.56(0.45) 622 (0.445)(0.562) O 0.102 1.96 520 0.102 1.645 (0.448)(0.553) 520 22 0.102 1.645 V (0.448)(0.553) 520 22 0.102 1.96 (0.449)(0.553) 520 522 0.102 1.96 V

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In a Pew Research poll, 287 out of 522 randomly selected U.S. men were able to identify Egypt when it was highlighted on a map of the Middle East. When 520
randomly selected U.S. women were asked, 233 were able o do so. Let Pi and p be the proportion of all inen and women who can identify Egypt on a map.
Construct and interpret a 95% confidence interval for p
(0.448)(0.52)
820
(0.55)(0.45)
0.102 1.90V
622
0.102 1.645 V
(0.56)(0.45)
(0.448)(0.552)
620
0.102 1.645 V
70.448)(0.652)
620
O 0.102 1.96
(0448)(0.662)
620
822
O 0.102 1.00
(0.490)(0.501)
1042
Transcribed Image Text:In a Pew Research poll, 287 out of 522 randomly selected U.S. men were able to identify Egypt when it was highlighted on a map of the Middle East. When 520 randomly selected U.S. women were asked, 233 were able o do so. Let Pi and p be the proportion of all inen and women who can identify Egypt on a map. Construct and interpret a 95% confidence interval for p (0.448)(0.52) 820 (0.55)(0.45) 0.102 1.90V 622 0.102 1.645 V (0.56)(0.45) (0.448)(0.552) 620 0.102 1.645 V 70.448)(0.652) 620 O 0.102 1.96 (0448)(0.662) 620 822 O 0.102 1.00 (0.490)(0.501) 1042
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