We want to test whether two randomly selected polls are different (assume sample

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 has a result of 51%.   While in the field, we are told that the standard of error is 4.5% (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 t-score on the fly. Based on these finding you tell your boss:

A.The polls are not likely to be statistically different, with 95% confidence levels for each poll result of about 36.5-45.5 vs. 46.5-55.5.

B.The polls are likely to be statistically different, with 95% confidence levels of about 36.5-45.5 vs. 46.5-55.5. You can bank on the increase.

C.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 polls are likely to be statistically different, with 95% confidence levels for each poll result of about 32-50 vs. 42-60.

F.The polls are not likely to be statistically different, with 95% confidence levels for each poll result of about 32-50 vs. 42-60.

G.You cannot make any decisions at all because statistics is a difficult and confusing art.

Explanation / Answer

Here we can't make any decision because the t score is not available.

Hence,

Option C is correct.

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