Question

what is the test statistic and pvalue of the data?

Hypothesis test results:

Difference	Count1	Total1	Count2	Total2	Sample Diff.	Std. Err.	Z-Stat	P-value
p1 - p2	9	31	8	30	0.023655914	0.1148271	0.20601333	0.8368

Answer 1

first sample size,     n1=   31          
number of successes, sample 1 =     x1=   9          
proportion success of sample 1 , p̂1=   x1/n1=   0.2903          
                  
sample #2   ----->   standard          
second sample size,     n2 =    30          
number of successes, sample 2 =     x2 =    8          
proportion success of sample 1 , p̂ 2=   x2/n2 =    0.267          
                  
difference in sample proportions, p̂1 - p̂2 =     0.2903   -   0.2667   =   0.0237
                  
pooled proportion , p =   (x1+x2)/(n1+n2)=   0.2787          
                  
std error ,SE =    =SQRT(p*(1-p)*(1/n1+ 1/n2)=   0.1148          
Z-statistic = (p̂1 - p̂2)/SE = (   0.024   /   0.1148   ) =   0.2060
                  
p-value =        0.8368   [excel formula =2*NORMSDIST(z)]      
.....................

test stat = 0.20601333

p value = 0.8368

..........

thanks