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BU MATU 203 - Summer 1 2018 - Jennifer Turner cs Assignments BU - MATU 203-Summe

ID: 3374830 • Letter: B

Question

BU MATU 203 - Summer 1 2018 - Jennifer Turner cs Assignments BU - MATU 203-Summer 1 2018-Jennifer Turner Amber Houser & Homework: Wk , HW 9, 7.1 -7.2 20Q, 20pts 5 Save Score: 0 of 1 pt 8 of 20 (8 complete) Y HW Score: 33%, 6 6 of 20 pts x7.1.30 Question Help The data given to the right includes data from 42 candies, and 9 of them are red. The company that makes the candy claims that 30% of its candies are red. Use the sample data to construct a 95% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 30%? Weights (g) of a Sample Bag of Candy Blue Yellow 0819 0.957 0.914 9 0.762 0.986 0.876 0.794 Construct a 95% confidence interval estimate of the population percentage of candies that are red 0.986 0.821 0.744 0.788 0.747 0.792 0.718 0.972 0.732 0.705 0.759 0.732 0.924 0.804 (Type an integer or decimal rounded to one decimal place as needed) 0.749 0.753 0.838 0.906 0.827

Explanation / Answer

Ans:

Sample proportion=9/42=0.214

Confidenec interval for population proportion of candies that are red

=0.214+/-1.96*sqrt(0.214*(1-0.214)/42)

=0.214+/-0.124

=(0.090, 0.338)

or (9.0%, 33.8%)