. A confidence interval was used to estimate the proportion of statistics studen

Question

. A confidence interval was used to estimate the proportion of statistics students that are males. A random sample of 115 statistics students generated the following 90% confidence interval: (0.557, 0.673). Based on the interval above, is the population proportion of males equal to 0.60?

A) Yes, and we are 90% sure of it.

B) Yes, and we are 95% sure of it.

C) Maybe. 0.60 is a believable value of the proportion based on the information given.

D) No. The proportion is 54.17%.

E) No, and we are 90% sure of it.

F) No, and we are 95% sure of it.

Please Explain!!

Explanation / Answer

As we can see, 0.60 is inside the interval (0.557, 0.673). Hence, it is possible that 0.60 is the actual proportion. Hence it is

OPTION C) Maybe. 0.60 is a believable value of the proportion based on the information given. [ANSWER, C]

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If we really want to include 90% in some sort of conclusion, it would be this way: We are 90% confident that the true population proportion is between 0.557 and 0.673.

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