Use the data in the table to the right to answer the following questions. Find t

Question

Use the data in the table to the right to answer the following questions. Find the sample proportion of candy that are red Weights (g) of a Sample Bag of Candy Red 0.904 0.999 0.804 0.745 0.955 0.976 0.817 Blue 0.872 0.843 0.945 0.782 0.908 0.989 Green 0.716 0.816 0.856 0.725 0.944 0.751 0.959 0.756 0.893 Brown Yelow 0.944 0.932 0.834 0.746 0.788 0.839 0.912 0.852 0.752 0.865 The proportion of red candy Type an integer or decimal rounded to three decimal places as needed.) Use that result to construct a 95% confidence interval estimate of the population percentage of candy that are red 0.807 0.854 0.976 0.799 0.997 Type an integer or decimal rounded to one decimal place as needed.) Is the result consistent with the 34% rate that is reported by the candy maker? No, because the confidence interval does not include 34%. Yes, because the confidence interval includes 34%. O Click to select your answer(s)

Explanation / Answer

Ans:

Given that

sample proportion=7/37=0.189

95% confidence interval for p

=0.189+/-1.96*sqrt(0.189*(1-0.189)/37)

=0.189+/-0.126

=(0.063, 0.315)

or (6.3% ,31.5%)

No,because confidence interval does not include 34%.

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