Suppose, upon constructing a 95% confidence interval based on your sample proportion of 0.28, you obtain the following interval: 0.201 to 0.359. Notice that the sample proportion of 0.28 is between the values of 0.201 and 0.359. Does this surprise you? Please explain why or why not.

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Imagine that you obtain a random sample of 125 M&M candies, and you notice that 28% of
these candies are blue. If we convert the sample percentage of 0.28 to a sample proportion (by
dividing 28 by 100), we get 0.28.
Transcribed Image Text:Imagine that you obtain a random sample of 125 M&M candies, and you notice that 28% of these candies are blue. If we convert the sample percentage of 0.28 to a sample proportion (by dividing 28 by 100), we get 0.28.
Suppose, upon constructing a 95% confidence interval based on your sample proportion(
of 0.28, you obtain the following interval: 0.201 to 0.359. Notice that the sample
proportion of 0.28 is between the values of 0.201 and 0.359. Does this surprise you?
Please explain why or why not.
Transcribed Image Text:Suppose, upon constructing a 95% confidence interval based on your sample proportion( of 0.28, you obtain the following interval: 0.201 to 0.359. Notice that the sample proportion of 0.28 is between the values of 0.201 and 0.359. Does this surprise you? Please explain why or why not.
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