Question

7:15 - Back Problem9.docx 1. Suppose that recent poll found that in a random sample of 2.02 registered voters, tip supported an increase in the test of significance for a proportion, also called at proportion Aest will allow us to determine if voters who e registered as independent will have a lower proportion than the overall property theo parameter b) State the mall and seativelytes c) Assume that the cerved in the poll is in fact the proportion of all registered votes 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 proportice who fervor raising the minimum wage for those who are registered independente? ) Suppose from the sample of voters who are registered as independents, a random sample produced 594 favoring a rise in the minimum wage What is the proportion of independent vote in fave of raising the minimum wage in your sample? What is the scene aced with the properties What is the probability that you have a proportion who for an increase in the minimum wage smaller than would actually be observed in the overall population of Yote lether words, what is the probability to the left of your core? State a conclusion in the context of the problem for a 5% level of significance 2) Describe what a Typelanda Type teme would represent in this content D Dashboard Calendar To Do Notifications Inbox

Answer 1

(b) The hypothesis being tested is:

H₀: p = 0.69

H_a: p < 0.69

(c) n*p = 898*0.69 = 619.62 $\geq$ 10

n*(1 - p) = 898*(1 - 0.69) = 278.38 $\geq$ 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

(e) The p-value is 0.0323.

(f) Since the p-value (0.0323) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that p < 0.69.

(g) Type I error = Conclude that p < 0.69 when p = 0.69

Type II error = Conclude that p = 0.69 when p < 0.69