Suppose that a social worker wishes to test the claim that, in his state, 11% of

Question

Suppose that a social worker wishes to test the claim that, in his state, 11% of the homeless population is made up of veterans. He believes that veterans make up a smaller percentage of the homeless population. The null and alternative hypotheses for this test are as follows. Ho: p 0.11 H1: p 0.11 The social worker plans to use a random sample of size n 400, randomly chosen from various cities, towns, and villages in his state. Determine the largest value of the sample proportion, p, that would cause the social worker to reject his null hypothesis at a significance level of a 0.05. Give your answer in decimal form, rounded to 3 decimal places.

Explanation / Answer

Answer to the question:

p = .11

n = 400

Z value = (pcap-.11)/sqrt(.11*.89/400)

Now, alpha = .05, which means that the Z value cutoff must be 1.96

.0307= pcap-.11
pcap = .11+.0307 = .1407

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.