Question 548931: The Roper Organization conducted identical surveys in 1990 and 2000. One question asked women was, “Are most men basically kind, gentle, and thoughtful?” The 1990 survey revealed that, of the 3,000 women surveyed, 2,010 said that they were. In 2000, 1,530 of the 3,000 women surveyed thought that men were kind, gentle, and thoughtful. At the .05 level, can we conclude that women think men are less kind, gentle, and thoughtful in 2000 compared with 1990?
Please help me answer this question for my statistics class I really have no clue.
Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Roper Organization conducted identical surveys in 1990 and 2000. One question asked women was, “Are most men basically kind, gentle, and thoughtful?” The 1990 survey revealed that, of the 3,000 women surveyed, 2,010 said that they were. In 2000, 1,530 of the 3,000 women surveyed thought that men were kind, gentle, and thoughtful. At the .05 level, can we conclude that women think men are less kind, gentle, and thoughtful in 2000 compared with 1990?
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p-hat90 = 2010/3000 = 0.67
p-hat00 = 1530/3000 = 0.51
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Ho: p90-p00 <= 0
Ha: p90-p00 > 0 (claim)
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Critical value: 1.645
test stat: z(0.67-0.51)/sqrt[(0.67*0.33/3000)+(0.51*0.49/3000)] = 12.77
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Conclusion:
Since the test statistic is in the reject interval, reject Ho.
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The test results support the claim.
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Cheers,
Stan H.
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