The data given to the right includes data from 37 candies, and 10 of them are re

Question

The data given to the right includes data from 37 candies, and 10 of them are red. The company that makes the candy claims that 33% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 33%? Construct a 90% confidence interval estimate of the population percentage of candies that are red. Type an integer or decimal rounded to one decimal place as needed.) Is the result consistent with the 33% rate that is reported by the candy maker? Yes, because the confidence interval includes 33%. No, because the confidence interval does not include 33%. O

Explanation / Answer

90% CI

Yes the results are consistent with 33% as it is included in the CI

0.1502 < p < 0.3904

n 37 p 0.27027027 z-value of 90% CI 1.6449 SE = sqrt(p*(1-p)/n) 0.07301 ME = z*SE 0.12009 Lower Limit = p - ME 0.15018 Upper Limit = p + ME 0.39036

90% CI

(0.1502 , 0.3904 )

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