Suppose that the reported p-value of a test is 0.40. This means that A.) There i

Question

Suppose that the reported p-value of a test is 0.40. This means that

A.) There is not very much evidence against the null hypothesis.

B.)There is strong evidence against the null hypothesis.

C.) The chance the null hypothesis is correct is 0.40B.) There is strong evidence against the null hypothesis.

D.) Reject null hypothesis.

Suppose that you want to test the hypothesis that a population proportion equals 1/2. The Z-statistic equals -6.24. You conclude that

A.) There is good evidence the population proportion is different from 1/2.

B.) There is good evidence the population proportion equals 1/2.

C.) I need to know if the alternative is one or two sided to decide.

D.) I can't answer if I only have a Z-table which goes to -3.5.

Suppose you are testing a hypothesis that a population mean equals 0, at significance level 0.05. The Z-statistic equals -1.75. You conclude

A.) I need to know if the test is one or two sided to decide.

B.) Is significant.

C.) Is not significant.

Explanation / Answer

1.

OPTION A.) There is not very much evidence against the null hypothesis. [ANSWER]

We need a small P value to have strong evidence against the null hypothesis.

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2.

OPTION A.) There is good evidence the population proportion is different from 1/2.

z = -6.24 is indeed a good evidence as it is too large. Tables are only up to 3.5, because it cannot handle the "smallness" of the probability of z values greater than that.

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3.

OPTION A.) I need to know if the test is one or two sided to decide.

For one sided, it is significant, as zcrit = -1.645.
However, for two sided, it is not, becuse zcrit = -1.96.

So we need to know if it is one sided or not.

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