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