A 95 % confidence interval for the proportion of democrat voters in the State of Florida based on a poll is (0.34, 0.43). Based on this confidence interval, is it reasonable to claim that less than 45 % of Floridian voters are democrats

Respuesta :

Answer:  Yes

Reason:

The confidence interval for the population proportion p is (0.34, 0.43)

This is equivalent to saying 0.34 < p < 0.43

We're 95% confident p is somewhere between 0.34 and 0.43

Both of these endpoints are smaller than 0.45, meaning that all of the proportions p in the interval are smaller than 0.45

So it's fairly reasonable to assume that less than 45% of the Floridian voters are democrats (since it seems to be between 34% and 43%). Keep in mind that there's always a margin of error with statistics, so we cannot say this with 100% certainty.

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