A General Social Survey asked randomly selected Americans about their opinions o
ID: 3385722 • Letter: A
Question
A General Social Survey asked randomly selected Americans about their opinions of women's roles in society. They were asked whether they agreed or disagreed with the following statements:
(a) "It is better for everyone involved if the man is the achiever outside the home and the woman takes care of the home and the family." Confidence intervals for the proportion of all Americans who agreed are as follows:
90%: (0.323, 0.360)
95%: (0.320, 0.363)
99%: (0.313, 0.370)Using this information, what is the correct range of the p-value for testing whether this year's percentage is the same as last decade's (38% agreeing): Ho: p = 0.38 vs. Ha: p 0.38?
Using this information, what is the correct range of the p-value for testing whether this year's percentage is the same as last decade's (38% agreeing): Ho: p = 0.38 vs. Ha: p 0.38?
a. p-value < 0.01
b. 0.01 < p-value < 0.05
c. p-value > 0.10
(b) "A preschool aged child is likely to suffer if his or her mother works." Confidence intervals for the proportion of all Americans who agreed are as follows:
90%: (0.405, 0.443)
95%: (0.401, 0.447)
99%: (0.394, 0.454)
Using this information, what is the correct range of the p-value for testing whether this year's percentage is the same as last decade's (40% agreeing): Ho: p = 0.40 vs. Ha: p 0.40?
a. p-value < 0.01
b. 0.01 < p-value < 0.05
c. 0.05 < p-value < 0.10
d. p-value > 0.10
Explanation / Answer
A General Social Survey asked randomly selected Americans...
As we can see, all of these confidence intervals do not include 0.38 inside their intervals.
Thus, even at 1-0.99 = 0.01 level, we reject Ho.
Thus,
OPTION A: P value < 0.01. [ANSWER]
*********************
A preschool aged child is likely to suffer if his or her mother...
As we can see, only the 99% confidence interval included 0.40 inside the interval.
Thus,
OPTION B: 0.01 <P < 0.05 [ANSWER]
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