1 answer

Q7 You may need to use the appropriate appendix table or technology to answer this question....

Question:

Q7

You may need to use the appropriate appendix table or technology to answer this 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 500 households will be selected from the population.

You may need to use the appropriate appendix table or technology to answer this question. The Food Marketing Institute shows

You may need to use the appropriate appendix table or technology to answer this 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 500 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 +0.02 of the population proportion? (c) Answer part (b) for a sample of 1,000 households.

Answers

From the given data Da 0.17 N=500 a) The sampling distribution of the sample mean Ŕ has mean p= 0.17 Standard deviatich - PC1c) sample of 1000 - = P(IP-Pk 0:02) ze P- - 10.02 5 7 1-68 0-17 (10:17) > V 1000 PCI-P) vn 0-1710-17) = P(-1-68 <24168) -1-2P

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