We wish to test if the proportion of STAT 330 students who

. We wish to test if the proportion of STAT 330 students who get A’s is less than 25%. If T = 4.59 then at alpha = .01 what is the correct decision?

a. Reject Ho   b. do not reject Ho       c. accept Ho

2.   Classify the test in question one.

A. two-tailed         B. one tailed left           

C. zero tailed         D. one tailed right

3. P(type I error) =  

4. True or False. Alpha is the probability that the test statistic falls in the rejection region given the null hypothesis is a false statement.

5. True or False. Every time n > 30, then we can use the Z-test for testing if the population mean is equal to some specified value.

Solution

We wish to test if the proportion of STAT 330 students who get A’s is less than 25%. If T = 4.59 then at alpha = .01 what is the correct decision?

This is left tailed test but test statistic is positive. This means, p-value is greater than 0.5. Therefore, do not reject null hypothesis at = 0.01. Therefore, correct option is:

b. do not reject H₀

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2.   Classify the test in question one.

Since alternative hypothesis is less than type, this is left tailed test. Therefore, correct option is:

B. one tailed left          

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3. P(type I error) = Level of significance = 0.01

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4. False. Alpha is the probability of type I error.

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5. True. Every time n > 30, then we can use the Z-test for testing if the population mean is equal to some specified value.