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The candy company that makes M&M\'s claims that 10% of the M&M\'s it produces is

ID: 3230211 • Letter: T

Question

The candy company that makes M&M's claims that 10% of the M&M's it produces is green. Suppose that the candies are packaged at random in large bags of 200 M&M's. When we randomly pick a bag of M&M's, we may assume that this represents a simple random sample of size n = 200. Suppose we wish to test H0: p = 0.10 versus Ha: p 0.10. Suppose that in the randomly selected bag of M&M's there are only 12 green M&M's. Calculate the value of the large-sample z statistic. If a 90% confidence interval were also calculated from the data, would it contain the value 0.10?

This cannot be determined from the information given. Yes No

Explanation / Answer

3.712 to 9.678%

0.10 would not be in the confidence interval.

z-statistic 1.886 Significance level P = 0.0593 95% CI of observed proportion

3.712 to 9.678%

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