The chamber of commerce for a beach town asked a random sample of city-dwellers, "Would you like to live at the beach?” Based on this survey, the 95% confidence interval for the population proportion of city-dwellers who would like to live at the beach is (0.56, 0.62). Based on this poll, a chamber of commerce member claims that more than half of city-dwellers would prefer to live at the beach.

Use the confidence interval to evaluate this claim and select the true statement.

Yes, it is reasonable to assume this because all reasonable values in the confidence interval are greater than 0.50.

We cannot determine this without taking a census of all city-dwellers.

No, it is not reasonable to assume this because another 95% confidence interval might not be entirely above 0.50.

No, it is not reasonable to assume this because there are only two choices and the proportion of city-dwellers who should prefer either is exactly 0.50, not more than 0.50.

ITS A