Question

7:27 Back Problem9.docx 1.) Suppose that a recent poll found that in a random sample of 2.692 registered voters, 69% supported an increase in the minimum wage. a) A test of significance for a proportion, also called a 1- proportion 7-test will allow us to determine if voters who are registered as independent will have a lower proportion than the overall group. Identify the unknown parameter b) State the null and alternative hypotheses. c) Assume that the 69% observed in the poll is in fact the proportion of all registered voters who favor raising the minimum wage. Suppose we plan on taking a random sample of 898 independent voters. We need to check all the conditions. What can be assumed about the sampling distribution of the sample proportion who favor raising the minimum wage for those who are registered independents? d) Suppose form the sample of 898 voters who are registered as independents, a random sample produced 594 favoring a raise in the minimum wage. What is the proportion of independent voters in favor of raising the minimum wage in your sample? What is the 2-score associated with that proportion? e) What is the probability that you observe a proportion who favor an increase in the minimum wage smaller than would actually be observed in the overall population of www In we were the bih LA Dashboard Calendar To Do Notifications Inbox

Answer 1

(a) The parameter is all the registered voters.

(b) The hypothesis being tested is:

H₀: p = 0.69

H_a: p < 0.69

(c) n*p = 898*0.69 = 619.62 10

n*(1 - p) = 898*(1 - 0.69) = 278.38 10

The conditions are met.

(d) p̂ = 594/898 = 0.66

The test statistic, z = (p̂ - p)/√p(1-p)/n

z = (0.66 - 0.69)/√0.69(1-0.69)/898

z = -1.85