This Question: 1 pt 8 of 8 (4 This Test: 8 pts possib The data given to the rnig

Question

This Question: 1 pt 8 of 8 (4 This Test: 8 pts possib The data given to the rnight includes data from 39 candies, and 5 of them are red. The company that makes the candy claims that 32% of its candes 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 32%? Weights (g) of a Sample Bag of Candy Red 0 828 0 732 0 709 0 946 0.969 0787 0 957 0 846 0 833 0 793 0 988 0.812 0 756 0 834 0 845 0.835 0 923 0762 0 734 0 786 0 998 0799 0 882 0 935 0 872 0 801 0 859 0 775 0 769 0 749 0 837 0 846 0 918 0 963 are red Type an integer or decimal rounded to one decimal place as needed ) 0 963 Is the result consistent with the 32% rate that is reported by the candy maker? O- No, because the confidence intervaldoes not inlude 32% Click to select your answer(s) O Type here to search 8 5 6 3

Explanation / Answer

Solution:-

Number of red candy = 5

Pieces of candy in sample bag = 39

The proportion of red candy = 5/39 = 0.13

90% confidence intervalfor the population proportion : p +/- 1.645*sqrt(pq/n)
: 0.13 +/- 1.645*sqrt(0.13*.87/39)
: 0.041 , 0.218
: 4.1% < p < 21.8%

=> option B. No,because the confidence interval does not include 32%

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