Score: 0 of 1 pt 14 of 40 (21 complete) Hw score: 45%, 18 of 40 pts 7.2.25 Quest

Question

Score: 0 of 1 pt 14 of 40 (21 complete) Hw score: 45%, 18 of 40 pts 7.2.25 Question Help Weights (g) of a Sample Bag of Candy Use the data in the table to the right to answer the following questions Find the sample proportion of candy that are red. The proportion of red candy-0.154 Red 0.912 0.703 0.888 0.822 0.767 0.879 Brown 0.725 0.949 0.989 0.895 0.932 0.814 0.731 Green 0.988 0.826 0.924 0.733 0.833 0.755 0.943 0.881 Yellow 0.725 0.871 0.758 0.704 0.789 0.882 0.833 Blue 0.854 0.815 (Type an integer or decimal rounded to three decimal places as needed.) 0.847 0.947 0.905 0.744 0.787 0.765 0.758 0.844 Use that result to construct a 95% confidence interval estimate of the population percentage of candy that are red.

Explanation / Answer

Solution:

The 90% confidence interval estimation of the proportion percentage of candy that red is obtained below:
The level of significance is 0.95
(1- ) = 0.95
= 0.05
Z /2 = 1.96
The confidence interval is obtained below:
p ± 1.96 sqrt(p(1-p)/n) = 0.154 ± 1.96*sqrt(0.154(1-0.154))
= (-0.5534, 0.8615)

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