please explain step by step, how you get the Z , Stdev, thank you! 34% of US hou

Question

please explain step by step, how you get the Z , Stdev, thank you!

34% of US households own a dog in a random sample of 404 US households, 151 say they own dog. At :010, is there enough evidence to support the society's dam? (a) Write the dlaim mathernatically and identify Ho and Ha b) original claim (a) Which of the following correcty states Ho and H Find the critical valuels) and identfy the rejection region(s). (o) Find the test statistio. (d) Decide whether to reject or fail to rejeot the null hypothesis, and (e) interpret the decision in the context of the HP0.34 Ho:p=0.34 H. p #0.34 B Ho P

Explanation / Answer

(a) H0 : p < 0.34

Ha : p >= 0.34

(b) Critical value at alpha = 0.10 and one tailed test

Z = + 1.2816

(c) Sample Proportion p^ = 151/404 = 0.3738

standard error of proportion = sqrt (0.34 * 0.66 /404) = 0.0236

Z = (0.3738 - 0.34)/ 0.0236 = 1.4322

Pr(Z > 1.4322) = p - value = 0.0760

Here we will reject the null hypothesis and we reject the society's claim that less than 34% of US households own a dog.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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