a Can someone help me on how to figure this out? A poll taken in March of 2007 G
ID: 3180127 • Letter: A
Question
a
Can someone help me on how to figure this out?
A poll taken in March of 2007 Gallup asked 1006 National adults whether they were Baseball fans. 36% said they were. I year previously 37% of a smaller size sample had reported being Baseball fans.
A. find the margin of error for the 2007 poll if we want 90% confidence in her estimate of the percent of national adults who are Baseball fans.
B. explain what the margin of error means
C. if we wanted to be 99% confident, with the margin of error be larger or smaller?
D. find the margin of error for 99% confidence level
E. in general, all other aspects of the situation remain the same so my colon will smaller margins of error produce greater or less confidence in the interval?
F. do you think there's been a change from 2006 to 2007 and the real proportion of national adults who are Baseball fans?
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Answer:
A poll taken in March of 2007 Gallup asked 1006 National adults whether they were Baseball fans. 36% said they were. I year previously 37% of a smaller size sample had reported being Baseball fans.
A. find the margin of error for the 2007 poll if we want 90% confidence in her estimate of the percent of national adults who are Baseball fans.
Standard error = sqrt( p*(1-p)/n) =sqrt(0.36*0.64/1006) =0.0151336
=0.0151
Z value at 90% level = 1.645
Margin of error = 1.645*0.0151 =0.0248395
=0.0248
B. explain what the margin of error means
The margin of error is a measure the maximum amount by which the sample results are expected to differ from those of the actual population.
C. if we wanted to be 99% confident, with the margin of error be larger or smaller?
Larger.
D. find the margin of error for 99% confidence level
Z value at 99% level = 2.576
Margin of error = 2.576*0.0151 =0.0388976
=0.0389
E. in general, all other aspects of the situation remain the same so my colon will smaller margins of error produce greater or less confidence in the interval?
Smaller margins of error produce less confidence in the interval.
F. do you think there's been a change from 2006 to 2007 and the real proportion of national adults who are Baseball fans?
No, there is no change because the difference in proportion 0.37-0.36=0.01 is within the margin of error of 90% confidence.
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