A Gallup survey of 1,001 randomly selected U.S. adults conducted May 2011, asked “In your opinion,...
A Gallup survey of 1,001 randomly selected U.S. adults conducted May 2011, asked “In your opinion, which one of the following is the main reason why students get education beyond high school?” Fifty three percent chose “to earn more money.” Based on these data, I found the 95% confidence interval for the proportion of U.S. adults who choose “to earn more money” to be (0.499, 0.561). Explain in at least 1 sentence.
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- TRUE/FALSE? Ninety-five percent of all U.S. adults are between 0.49 and 0.561. Explain.
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- TRUE/FALSE? There is a 95% probability that the proportion of all U.S. adults who think the main reason students get education beyond high school is to earn money is between 0.49 and 0.561. Explain.
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- TRUE/FALSE? A 99% confidence interval based on the same data would be wider. Explain.
-
- TRUE/FALSE? We are 95% confident that the proportion of the 1,001 randomly selected U.S. adults who think the main reason students get education beyond high school is to earn money is between 0.49 and 0.561. Explain.
-
- TRUE/FALSE? We are 95% confident that the true proportion of all U.S. adults who think the main reason students get education beyond high school is to earn money is between 0.49 and 0.561. Explain.
Homework Answers
Ninety-five percent of all U.S. adults are between 0.49 and 0.561. Explain.
FALSE
Since the interval is not for the adult population
There is a 95% probability that the proportion of all U.S. adults who think the main reason students get education beyond high school is to earn money is between 0.49 and 0.561.
TRUE
Since this is teh correct defination of confidence interval
A 99% confidence interval based on the same data would be wider.
TRUE
As the significance level will increase
We are 95% confident that the proportion of the 1,001 randomly selected U.S. adults who think the main reason students get education beyond high school is to earn money is between 0.49 and 0.561.
FALSE
As the inference is about the population, not sample
We are 95% confident that the true proportion of all U.S. adults who think the main reason students get education beyond high school is to earn money is between 0.49 and 0.561.
TRUE
As the significance level will increase
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