A confidence interval was used to estimate the proportion o

. 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!!

Solution

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.