GfK Research North America conducted identical surveys 5 years apart. One question asked of women was “Are most men basically kind, gentle, and thoughtful?” The earlier survey revealed that, of the 3,000 women surveyed, 2,010 said that they were. The later revealed 1,530 of the 3,000 women surveyed thought that men were kind, gentle, and thoughtful. At the 0.05 level, can we conclude that women think men are less kind, gentle, and thoughtful in the later survey compared with the earlier one? Hint: For the calculations, assume the later survey as the first sample.
A. State the decision rule. (Negative value should be indicated
by a minus sign. Round your answer to 2 decimal places.)
H0 is rejected if z (is lesser than/is greater than)
__________.
B. Compute the pooled proportion. (Negative value should be
indicated by a minus sign. Round your answer to 2 decimal
places.)
The pooled proportion: ________
C. Compute the value of the test statistic. (Negative value
should be indicated by a minus sign. Round your answer to 2 decimal
places.)
Value of the test statistic: ___________
D. What is your decision regarding the null hypothesis?
( ) Reject
( ) Do not reject
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