Question
We want to test whether two randomly selected polls are different (assume sample size >30). The first has a result of 41% and the second
We want to test whether two randomly selected polls are different (assume sample size >30). The first has a result of 41% and the second has a result of 51%. While in the field, we are told that thestandard erroris 3% (not margin of error). Your boss, who is running for re-election, needs to know right away whether they are different (and you've left your iPad and t distribution tables at home).
For your margin of error, you'll need to come up with a critical t-score on the fly, so you can calculate your margin of error (remember you Rule of Thumb about an unusual t-/z-score). Based on these finding you tell your boss:
- A.
The 95% confidence interval for each poll result is about 38%-44% vs. 48%-54%; the polls are not likely to be statistically significant.
- B.
The 95% confidence interval for each poll result is about 38%-44% vs. 48%-54%, the polls are likely to be statistically significant.
- C.
You cannot make any decision at all because the value of the t-score is not available.
- D.
Cannot make any decision at all because the distribution of the population is unknown.
- E. The 95% confidence interval for each poll result is about 35%-47% vs. 45%-57%, the polls are NOT likely to be statistically significant.
- F. The 95% confidence interval for each poll result is about 35%-47% vs. 45%-57%, the polls are likely to be statistically significant.
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