True or False: Answer if the statement is true or false. 1) An increase in the s

Question

True or False: Answer if the statement is true or false.

1) An increase in the sample size will increase the standard error.

2) Alpha is the probability of a Type I error.

3) If alpha is chosen to be 5%, and the p-value for a hypothesis test is 0.047, then the null hypothesis should be rejected.

4) In a goodness of fit hypothesis test, a large chi-square value will cause the null hypothesis test not be rejected.

5) In a chi-square test of independence, a rejection of the null hypothesis means that there is not a relationship between the two categorical variables.

Explanation / Answer

1) An increase in the sample size will increase the standard error. [FALSE. It will decrease it.]

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2) Alpha is the probability of a Type I error. [TRUE]

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3) If alpha is chosen to be 5%, and the p-value for a hypothesis test is 0.047, then the null hypothesis should be rejected. [TRUE. We reject Ho when P < alpha.]

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4) In a goodness of fit hypothesis test, a large chi-square value will cause the null hypothesis test not be rejected. [FALSE. It will be rejected.]

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5) In a chi-square test of independence, a rejection of the null hypothesis means that there is not a relationship between the two categorical variables. [FALSE. There is a relationship.]

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