question archive From his purchased bags, Randy counted 120 red candies out of 500 total candies

From his purchased bags, Randy counted 120 red candies out of 500 total candies

Subject:StatisticsPrice:2.87 Bought7

From his purchased bags, Randy counted 120 red candies out of 500 total candies. Using a 90% confidence interval for the population proportion, what are the lower and upper limits of the interval? Answer choices are rounded to the thousandths place.

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Answer:

?Lower Limit:=0.209Upper Limit:=0.271?

Step-by-step explanation

Here: ?x=120,N=500?

Standard error of the mean = SEM = √x(N-x)/N3 = 0.019

α = (1-CL)/2 = 0.050

Standard normal deviate for α = Zα = 1.645

Proportion of positive results = P = x/N = 0.240

Lower bound = P - (Zα*SEM) = 0.209

Upper bound = P + (Zα*SEM) = 0.271