Suppose I have strong evidence that the mean for my sample of children is greate

Question

Suppose I have strong evidence that the mean for my sample of children is greater than the general population of children. The one-tailed critical z value using an of .05 equals __________.

I would reject the null if my p value is _____________ than .

I would reject the null if my test statistic is ____________ than the critical value.

The following are z values that correspond to the one-tailed hypothesis test. Find the:

z                       p-value             Decision          Critical value             Decision

                  (greater than z)    regarding Null      (from above)        regarding Null

2.00           ____________      __________    ____________       ____________

1.34           ____________      __________    ____________       ____________

1.87           ____________      __________    ____________       ____________

0.02           ____________      __________    ____________       ____________

1.67           ____________      __________    ____________       ____________

3.00           ____________      __________    ____________       ____________

Now, suppose that we decided to use a two-tailed of .05 for the same research question.

The critical values would be equal to ________________.

The following are z values that correspond to the two-tailed hypothesis test. Find the:

z                       p-value *          Decision          Critical value             Decision

                                              regarding Null       from above         regarding Null

1.25         ____________      __________    ____________       ____________

2.34         ____________      __________    ____________       ____________

.77         ____________      __________    ____________       ____________

1.52         ____________      __________    ____________       ____________

2.18         ____________      __________    ____________       ____________

3.00         ____________      __________    ____________       ____________

*For two-tailed tests, you double the one-tailed p value to obtained the two-tailed value because you are willing to reject the null if the obtained value falls in either tail (so you want the total probability that the obtained value – or one more extreme – is seen, regardless of tail or sign).

Explanation / Answer

1-The one-tailed critical z value using an of .05 equals 1.645

2-

I would reject the null if my p value is _less than .

3-I would reject the null if my test statistic is _greater than the critical value.

z                       p-value             Decision          Critical value             Decision

                  (greater than z)    regarding Null      (from above)        regarding Null

2.00 .9772 ___ do not reject______    ____________       ____________

1.34 .9098 ____ do not reject______    ____________       ____________

1.87 .9692 do not reject______    ____________       ____________

0.02 .5079 __ do not reject_______    ____________       ____________

1.67 .9525__________      _ do not reject________    ____________       ____________

3.00 .9986__________    do not reject_____    ____________       ____________

Now, suppose that we decided to use a two-tailed of .05 for the same research question.

The critical values would be equal to =1.96

The following are z values that correspond to the two-tailed hypothesis test. Find the:

z                       p-value *          Decision          Critical value             Decision

                                              regarding Null       from above         regarding Null

1.25 .0528___________ do not reject__________    ____________       ____________

2.34 .4951___________      __ do not reject________    ____________       ____________

.77 .1103_________      _____reject_____    ____________       ____________

1.52 .4678__________      __ do not reject________    ____________       ____________

2.18 .0073___________      ___reject ho_______    ____________       ____________

3.00 .4993_________      ___ do not reject_______    ____________       ____________

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