The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p=.17 and a simple random sample of 800 households will be selected from the population.

a. Show the sampling distribution of p¯, the sample proportion of households spending more than $100 per week on groceries. b. What is the probability that the sample proportion will be within ±.02 of the population proportion? c. Answer part (b) for a sample of 1600 households.

Question

Barbara Delgado

Mathematics

10 January, 13:13

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p=.17 and a simple random sample of 800 households will be selected from the population.

a. Show the sampling distribution of p¯, the sample proportion of households spending more than $100 per week on groceries. b. What is the probability that the sample proportion will be within ±.02 of the population proportion? c. Answer part (b) for a sample of 1600 households.

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Answers (1)

Know the Answer?

Gwendolyn · Answer 1

for Question A. 13,600 I am NOT 100% sure

Step-by-step explanation:

I think for A. you would do P (17) x 800 = 13,600

I hope its correct good luck!