Question

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.17 and a 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. A bell-shaped curve is above a horizontal axis labeled p. In order of left to right, the ticks on the horizontal axis are labeled: −0.026, −0.013, 0, 0.013, 0.026.

(b) What is the probability that the sample proportion will be within ±0.02 of the population proportion? (Round your answer to four decimal places.)

(c) Answer part (b) for a sample of 1,600 households. (Round your answer to four decimal places.)

Answer 1