Question

Numeric results for several independent samples t tests are presented here. Decide whether each test is statistically significant, and report each result in the standard APA format.

1. A total of 73 people were studied, 40 in one group and 33 in the other group. The test statistic was calculated as 2.13 for a two tailed test with a p level of .05

2. One group of 23 people was compared to another group of 18 people. The t statistic obtained for their data was 1.77. Assume you were performing a two tailed test with a p level of .05

3. One group of nine mice was compared to another group of six mice, using a two tailed test a p level of .01. The test statistic was calculated as 3.02.

Answer 1

Numeric results for several independent samples t tests are presented here , Decide whether each test is statistically significant , and report each result in standard APA format.

## Q ) A total 73 people were studied 40 in one group and 33 in the other group , Test test statistics was calculated as 2.13 for a two tailed test with a p level 0f 0.05

to test : Ho : p1 = p2 vs H1 ; p1 not equal to p2

test statistics : t = 2.13

alpha value = 0.05 and degree of freedom = n1 + n2 - 2 ( assume equal variance) = 71

p value = 0.036 from table

decision : we reject Ho if p value is less than alpha value using p value approach here p value is less than

alpha value here we reject Ho at given alpha level .

Conclusion ; there is enough evidence to conclude that there is difference in population proportion

that is result is significant at given level of alpha value .

## Q ) One group of 23 people was compared to another group of 18 people . The t statistic obtained for their data was 1.77 . Assume you were performing a two tailed test with a p level of 0.05

to test : Ho : p1 = p2 vs H1 ; p1 not equal to p2

test statistics : t = 1.77  

alpha value = 0.05 and degree of freedom = n1 + n2 - 2 ( assume equal variance)  

p value = 0.084 ( from table )

decision : we reject Ho if p value is less than alpha value using p value approach here p value is greater than alpha value here we fail to reject Ho at given alpha level .

Conclusion ; there is not enough evidence to conclude that there is difference in population proportion

that is result is Insignificant at given level of alpha value .

### Q ) One group of nine mice was compared to another group of six mice, using a two tailed test a p level of 0.01 the test statistics was calculated as 3.02

to test : Ho : p1 = p2 vs H1 ; p1 not equal to p2

test statistics : t = 3.02

alpha value = 0.01 and degree of freedom = n1 + n2 - 2 ( assume equal variance)  

p value = 0.009 ( from table )

decision : we reject Ho if p value is less than alpha value using p value approach here p value is less  than alpha value here we reject Ho at given alpha level .

Conclusion ; there is enough evidence to conclude that there is difference in population proportion

that is result is significant at given level of alpha value .