This Question: 1 pt 10 o1 20 11 complete) Y This Test: 20 pts possible ? Questio

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This Question: 1 pt 10 o1 20 11 complete) Y This Test: 20 pts possible ? Question Help * Use the data in the table to the rnight to answer the folowing questions Weghts (o) of a Sample Bag of Candy Find the sample proportion of candy that are red Blue 8180832 0.763 0 927 0 962 0931 0 773 817 0 921 0879 0.754 Red Brown Green YelowG The proportion of red candy (Type an integer or decmal rounded to three decimal places as needed ) Use that result to construct a 90% confdence neral estmne of the percentage of candy that are tod 0 806 0838 0 991 0 932 0 769 0 888 0 783 0 811 0 897 0789 0 847 0778 0823 0.869 0.968 0719 0 849 0 762 0877 0 e67 802 0 814 (Type an irteger or decimal rounded to one decimal place as needed ) isthe result consistent wit, the 30% rate that is reported by the cand, maker? No because the contdene interval does not include 30% Yes, because the confidence interval ncludes 30% O Cick to select your answers)

Explanation / Answer

Solution:-
Given that information
Number of red candies = 6

Total candies = 6+10+9+7+6 = 38

=> The proportion of red candy = 6/38 = 0.15789 = 0.158(rounded)

=> 90% confidence interval for ppulation percentage = p +/- Z*sqrt(p*q/n)
= 0.158 +/- 1.645*sqrt(0.158*0.842/38)
= 0.061 , 0.255
= 6.1% , 25.5%

=> option A.

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