00:01
Hello everyone we are going to solve a question in this question we are given that n is equals to 427 and here we are given p which is 0 .29 in a part we have to find the number of women number of women who purchase online so this number is equal to n multiplied with p which is to 4 47 multiplied with 0 .29 and the answer is 123 .83.
00:38
So this is the answer for a part.
00:40
Now moving on to be part of the question.
00:43
We have to find 95 % confidence interval.
00:48
95 % confidence interval.
00:52
So for this 95 % confidence interval we find the value of mean which is x bar as equals to.
01:03
123 .83 that is found above that is n multiplied by p and from here we find q which is 1 minus p and q is equal to 1 minus 0 .71 which is sorry here we have 1 minus 0 .29 which is equal to 0 .71 and also we find the value of standard deviation which is equal to square root of n multiplied with q divide here we have p multiplied with q divided by n and this is equals to square root 0 .29 multiplied with 0 .71 and this divided by 427 so from here the standard deviation is 0 .0 219 now for alpha equals to 0 .05 alpha is 0 .05 alpha is 0 .05 then z value is equal to 1 .96.
02:01
So from here confidence interval is equal to confidence interval is equals to p plus minus z and here we have square root of pq divided by a so by putting all the values this is 0 .29 plus minus 1 .96 multiplied with 0 .0 219 and this is equals to 0 .2469 .0 .330.
02:32
So this is the answer for confidence interval.
02:35
Now moving towards the c part of this question.
02:39
In c part we are given p is equals to 0 .50 and we have to write the hypothesis for this and conduct the test.
02:48
That means we have to find test statistic value.
02:51
So a null hypothesis which is notted by h0 is stated as p is 0 .50...