MTH 245 Northern Virginia Community College Sample Hypothesis Tests Exam Practice

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MTH 245 Data assignment 6 , 1 sample hypothesis tests. (50 pts )
Data assignment 6 will only use Samples 2 and 3 that you downloaded at the
beginning of Data Assignment 5. If you don’t have them, download new ones.
These were samples of 50 and samples of 200 students .
UPLOAD SAMPLE 2 (n=50) into StatCrunch then answer Questions 1-3.
Note: your sample will be unique, so it is possible your answers to all 6 questions will
be different from your friend’s.
(15 ) 1. Conduct a test of the null hypothesis that the mean AGE for all students in
the Census at School database is equal to 12 yrs vs the alternative that the mean
AGE is greater than 12 yrs. Use a significance level of 0.05.
Select Stat/ t stats / 1 sample/ with data. Column is AGE. Fill in the appropriate
options for null mean and direction of test .
Provide the Statcrunch output table and an explanation of the results ( Is there
statistically significant evidence for the alternative hypothesis?)
Your answer should include the output table and a sentence like
“There (is / is not ) statistically significant evidence for the mean AGE being
greater than 12 yrs the p value of xxxxxx is (less than / greater than ) the
significance level of xxxxx.”
With correct answers chosen and correct values substituted for xxxxx.
( 5) 2. Suppose you somehow find out that the actual mean AGE for the entire
database population is 13 yrs Looking back at your test from question 1, was the
result of your test a correct decision, a Type I error, or a Type II error. Explain ( for
example , did you reject a true null, fail to reject a false null, reject a false null, or fail
to reject a true null).
(5) 3. Suppose you somehow find out that the actual mean AGE for the entire
database population is 12 yrs. Looking back at your test from question 1, was the
result of your test a correct decision, a Type I error, or a Type II error. Explain.
UPLOAD SAMPLE 3 (n=200) into StatCrunch then answer Question 4-6.
(15) 4. Conduct a test of the null hypothesis that the proportion of all students in
the Census at School database who are Male is equal to 50% vs. the alternative that
the proportion is less than 50%. Use a significance level of 0.05.
Stat / proportion stats / 1 sample/with data . Column is GENDER and Success is
‘M’. Fill in the appropriate options for null proportion and direction of test .
Provide the StatCrunch output table and an explanation of the results ( Is there
statistically significant evidence for the alternative hypothesis?) You should
have a sentence similar to your answer to question 1 , but with the proper
context for this question.
(5) 5. Suppose you somehow find out that the actual proportion of males for the
entire database population is 50%. Looking back at your test from question 4, was
the result of your test a correct decision, a Type I error, or a Type II error. Explain.
(5) 6. Suppose you somehow find out that the actual proportion of males for the entire
database population is 48 %. Looking back at your test from question 4, was the
result of your test a correct decision, a Type I error, or a Type II error. Explain.

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null hypothesis

proportion of successes

sample hypothesis tests

database population

Hypothesis test

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