Statistics questions

Question Description

Final Answer

The P-value of the test statistic? :-/ It isn't really clear to me what the question is asking. It's especially bad that it asks you for a test statistic without telling you what the test is!

1) If there's a test, it's likely to be of the Mayor's belief that >30% of the residents favour annexation. If this is so, we'll get a very high p (>0.5). That's the only test that makes much sense given the wording.

2) But more normally, we would test against a null hypothesis with a fixed value, not an inequality. E.g. we would test the hypothesis that population mean = 30 (not >30 as in the question).

I'll test 1) since that is the only possible test I can read from the question. But be warned, it doesn't make much sense to me that that is what you'd be asked. It's very badly worded.

Anyway , for a proportion, standard deviation = sqrt(p(1-p))

So sample sd = sqrt(0.33*0.67)

= 0.470

So standard error around the mean = sd/sqrt(n)

= 0.470/sqrt(1000)

= 0.01487

So test statistic t with df=n-1 = 999:

1) For testing pop. mean >30 we have:

t = (0.3-0.33)/0.01487

= -2.018

So P(t, df=999) = 0.978

iainharlow (1041)
UT Austin

I was on a very tight deadline but thanks to Studypool I was able to deliver my assignment on time.

The tutor was pretty knowledgeable, efficient and polite. Great service!

I did not know how to approach this question, Studypool helped me a lot.


Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors