In July 1991 and again in April 2001 the Gallup Poll asked random samples of 1015 adults about their opinions on working parents. The table summarizes responses to the question: "Considering the needs of both parents and children, which of the following do you see as the ideal family in today's society?" July 1991 April 2001 Total Both work full time 142 131 273 One works full time, the other part time 274 244 518 One works, other works at home 152 173 325 One works, other stay home for kids 396 416 812 No opinion 51 51 102 Total 1015 1015 2030 a) What proportion of adults from the July 1991 survey thought both parents working full time as the ideal family in today's society? b) What proportion of adults from the April 2001 survey thought both parents working full time as the ideal family in today's society? c) What is the point estimate for difference in proportions of the two surveys?

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Chapter11: Data Analysis And Probability
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In July 1991 and again in April 2001 the Gallup Poll asked random samples of 1015 adults about their
opinions on working parents. The table summarizes responses to the question:
"Considering the needs of both parents and children, which of the following do you see as the ideal
family in today's society?
July 1991 April 2001 Total
Both work full time
142
131
273
One works full time, the other part time
274
244
518
One works, other works at home
152
173
325
One works, other stay home for kids
No opinion
396
416
812
51
51
102
Total
1015
1015
2030
a) What proportion of adults from the July 1991 survey thought both parents working full time as the ideal
family in today's society?
b) What proportion of adults from the April 2001 survey thought both parents working full time as the ideal
family in today's society?
c) What is the point estimate for difference in proportions of the two surveys?
d) A null distribution was created with 1000 simulated point estimates. Based on the distribution, what is
the p-value?
Show Shuffle Options
Total Shuffles = 1000
Mean =-0.001
Number of Shuffles 1000
SD = 0.015
Shuffle
O Cards O Data O Plot
Most Recent Shuffle
Group A
Success
136
Failure
879
Group B
Success
137
Failure
878
-0.055
-0.035
-0.015
0.005
0.025
0.045
Shuffled Difference in proportions
O Show previous
Count Samples Beyond
.011
Count
Count= 530/1000 (0.5300)
The p-value =
e) What can we conclude?
O Fail to reject the null hypothesis. There is no evidence that the proportions have changed between
1991 and 2001.
O Accept the null hypothesis. There is sufficient evidence that the proportions between 1991 and 2001
are equal.
O Reject the null hypothesis. There is sufficient evidence that the proportions have changed between
1991 and 2001.
Number of Shuffles
Transcribed Image Text:In July 1991 and again in April 2001 the Gallup Poll asked random samples of 1015 adults about their opinions on working parents. The table summarizes responses to the question: "Considering the needs of both parents and children, which of the following do you see as the ideal family in today's society? July 1991 April 2001 Total Both work full time 142 131 273 One works full time, the other part time 274 244 518 One works, other works at home 152 173 325 One works, other stay home for kids No opinion 396 416 812 51 51 102 Total 1015 1015 2030 a) What proportion of adults from the July 1991 survey thought both parents working full time as the ideal family in today's society? b) What proportion of adults from the April 2001 survey thought both parents working full time as the ideal family in today's society? c) What is the point estimate for difference in proportions of the two surveys? d) A null distribution was created with 1000 simulated point estimates. Based on the distribution, what is the p-value? Show Shuffle Options Total Shuffles = 1000 Mean =-0.001 Number of Shuffles 1000 SD = 0.015 Shuffle O Cards O Data O Plot Most Recent Shuffle Group A Success 136 Failure 879 Group B Success 137 Failure 878 -0.055 -0.035 -0.015 0.005 0.025 0.045 Shuffled Difference in proportions O Show previous Count Samples Beyond .011 Count Count= 530/1000 (0.5300) The p-value = e) What can we conclude? O Fail to reject the null hypothesis. There is no evidence that the proportions have changed between 1991 and 2001. O Accept the null hypothesis. There is sufficient evidence that the proportions between 1991 and 2001 are equal. O Reject the null hypothesis. There is sufficient evidence that the proportions have changed between 1991 and 2001. Number of Shuffles
Expert Solution
Step 1

As per guidelines we will only answer first three subparts:

a) 

Total number of adults from July 1991 survey = 1015

Number of adults from the July 1991 survey thought both parents working full time as ideal family in today's society = 142

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