Public Speaking By Gender •The survey respondents were grouped by Gender INTERPR

Question

Public Speaking By Gender

•The survey respondents were grouped by Gender

INTERPRET THE ANALYSIS

. ttest publicspeakingshort, by (gender) Two-sample t test with equal variances Group Obs Mean Std. Err. Std. Dev . [95% Conf . Interval] 3.952381 2124258 .46291 4.395493 4.594608 21 9734573 35092 69 1 8 1.309307 2.405392 combined 29 3.827586 . 198944 1.071346 3.420068 4.235105 diff 452381 4448458 4603 673 1.365129 diff mean (O) - mean(1) t= 1.0169 27 Ho : diff = 0 degrees of freedom = Ha : diff 0 Pr (T t) 0.1591 . ttest publicspeakingshort, by(gender) uneqrual Two-sample t test with unequal variances Group Obs Mean Std. Err. Std. Dev. [95% Conf . Interval] 3.952381 9734573 1.309307 4.395493 4.594608 21 .2124258 3.5092 69 8 .46291 2.405392 combined 29 3.827586 . 198944 1.071346 3.420068 4.235105 diff 452381 5093235 6809146 1.585677 diff Ho : diff = 0 mean (0) - mean (1;) t0.8882 Satterthwaite's degrees of freedom = 10.1018 Ha : diff O Pr(T It!) = 0.3951 Pr(T > t) - 0.1975

Explanation / Answer

For equal variance -

t=1.0169

H0: diff=0. And alternative hypothesis are H1:diff>0. Or diff<0 or diff=0

Suppose we assume the level of significance 0.05 then

We are given p-values for all three parts and those are higher than the 0.05 , so we fail to reject the null hypothesis and conclude that there is no any difference between man and women when variance is constant .

Similarly for the unequally variance also same conclusion

We are fail to reject the null hypothesis and conclude that the there is no any difference between then man and women categories when we consider the unequally variance .

Thanks

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