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STATS 2B03 Quiz: hypothesis testing (4).docx

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lilacdog276
19 Jun 2013
School
McMaster University
Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs

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Document Summary

We want to test: ha: p>p0, ha: p

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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Related Questions

(1 point) A random sample of 130 observations is selected from a binomial population with unknown probability of success p. The computer value of is 0.64.

    (1) Test : : p = 0.65 against : p > 0.65. Use α= 0.05.

test statistic z =

critical z score

The final conclusion is 

⭕ A. We can reject the null hypothesis that p = 0.65 and accept that p is > 0.65.

⭕ B. There is not sufficient evidence to reject the null hypothesis that p = 0.65.

    (2) Test : p = 0.5 against :p < 0.65. Use α = 0.01.

test statistic z =

critical z score

The final conclusion is 

⭕ A. We can reject the null hypothesis that p = 0.5 and accept that p is < 0.5.

⭕ B. There is not sufficient evidence to reject the null hypothesis that p = 0.5.

   (3) Test : p = 0.55 against : p ≠ 0.55. Use α = 0.01.

test statistic z =

positive critical z score

 

Z Test & T Test: Similarities & Differences

1. Z-test is a statistical hypothesis test that follows a normal distribution while T-test follows a Student’s T-distribution.
2. A T-test is appropriate when you are handling small samples (n < 30) while a Z-test is appropriate when you are handling moderate to large samples (n > 30).
3. T-test is more adaptable than Z-test since Z-test will often require certain conditions to be reliable. Additionally, T-test has many methods that will suit any need.
4. T-tests are more commonly used than Z-tests.
5. Z-tests are preferred than T-tests when standard deviations are known.

I need help conducting a z-test for my assignment. The question states, "You want to determine if Canadians are nicer (less rude) than Americans. Americans 'niceness' score is µ=2.4 with a standard deviation of 1.6. You get a sample of n=36 Canadians to complete the same niceness questionnaire. You calculate descriptive statistics for your sample as M=2.9 and s=1.9. As this is exploratory research, use an alpha of .10. Conduct a z-test on the information above. Make sure to note: 1.) the formula, 2.) the null and alternative hypothesis, 3.) the critical value, 4.) calculate the result (show calculation in case of error), 5.) What is the statistical decision, 6.) What does this mean in plain english?"

Thanks for the help!