00:01
Hello student, in the given question, the two samples are taken with the following number of success and the sample size r1 is equals to 29, r2 is equals to 25, n1 is equals to n1 as is less than p1 minus p2 is less than dash.
00:48
So here we have given the sample proportion, so the formula to derive the sample proportion is sample proportion is p1 is equals to r1 upon n1 after substituting all these values in this formula we get 29 upon 62 is equals to 0 .4677 and similarly to find out p2 we have r2 upon n2 is equals to 25 upon 88 is nothing but 0 .2840.
01:41
So to derive the standard error the formula is standard error is equals to square root of p1 multiplied by 1 minus p1 upon n1 plus p2 p2 multiplied by 1 minus p2 upon n2.
02:26
So after substituting values in this formula we get standard error is equals to square root of 0 .4677 multiplied by 0 .0085 plus 0 .2840 multiplied by 0 .0081.
03:00
So we get result as 0 .07874.
03:10
So we have to find out the critical value here.
03:19
So to find out the critical value we get z critical value for z at 93 percent confidence interval using z table or a calculator.
03:42
Since we have a two -tail test we will look for 0 .935 in the table so we get 0 .5 plus 0 .93 by 2 is equals to 0 .965 which gives the z value is equals to 1 .81...