E Can\'t reach this page Take a Test Mike Tunb x C Statistics and Probability qu

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E Can't reach this page Take a Test Mike Tunb x C Statistics and Probability qu V Devry University Course Home Page O e thxd.co w/Student/PlayerTest.aspx?testld 812273 Statistics for Decision Making (100) Mike Tunberg Quiz: Final Exam Time Remaining: 02:43:30 Submit Quiz 28 of 31 (2 complete v This Question: 14 pts This Quiz: 250 pts possible A humane society claims that less than 36% of U.S. households own a dog. In a random sample of 392 US. households. 153 say they own a dog. At o -0.10, is there enough evidence to support the society's caim? (a) ite the claim mathematically and identify Ho and H b) Find the critical val and identify the rejection regio (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis, an d (e interpret the decision in the context of the original claim. (a Whi ch of the following corre states Ho and Ha? ctly O A. Ho: p

Explanation / Answer

Answers to the question:

The cirtical Z value is -1.28
So you have to go with grph whose critical area shaded is at the right

a.

Ho: Mu> .36
Ha: Mu<=.36

n=392
pcap = 153/393 = .389
p = .36

b.

Based on alpha = .10 at right, Z= (.393-.36)/sqrt(.36*.64/392)
Z = (.393-.36)/sqrt(.36*.64/392)= 1.36

c.

Critical Z value is +1.28
Critical region or rejection region is therefore Z>=-1.28

d.
Since our Z statistic is in critical region we will reject null hypothesis.

e.

The right interpretation is A
When rejecting null we have to write that
" there is enough evidence to support the claim that less than 36% of US households own a dog"

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