e Unit patients Statistics Decision Making (100) Homework: Week 6 Homework 40 pt

Question

e Unit patients Statistics Decision Making (100) Homework: Week 6 Homework 40 pts. Score: 0 of 3 pts 6.3.20-T A researcher wishes to estimate, with 9s%confidence, the population proportion of adults who say chocolate (a) No preliminary estmate is available. Find the minimum sample size needed s their favonte ice cream flavor Herestimate must be accurate within 1% ofthe population proporton (b) Find the minimum sample size needed, a prior study that found that 40% of the respondents said their favorne favor ofice creamischocolate using (c) Compare the results from parts (a) and (b) (a) What is the minimum sample size needed assuming that no prior information is available? n- 9604 (Round up to the nearest whole number as needed.) (b) What is the minimum sample size needed using a prior study that found that 40% ofthe respondents saidtheirfavorie ice cream flavor is chocolate? (Round up to the nearest whole number as needed)

Explanation / Answer

ME 0.01 p= 0.5 n = z(a/2)^2*(p*(1-p))/ME^2 n = =1.96^2*0.5*(1-0.5)/0.01^2 9604 when p= 0.4 n = z(a/2)^2*(p*(1-p))/ME^2 n = =1.96^2*0.4*(1-0.4)/0.01^2 9220

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