00:01
Hello students, we have given the proportion p is equal to 1 .55 % that is 0 .0155.
00:09
Also, we have given the sample size n is equal to 250 and x is equal to 15 and here we have to test the hypothesis that is the claim of the study is higher proportion of students study abroad higher proportion higher proportion of students proportion of students study abroad study abroad this is the claim.
00:48
So, to test this hypothesis first we need to write the null and alternative hypothesis.
00:55
So, null hypothesis h naught is p is equal to 0 .0155 and alternative hypothesis that is h1 is p is greater than 0 .0155.
01:10
Now, here first we will calculate the sample proportion sample proportion that is p hat is given by x divided by n which is equal to 15 upon 250.
01:30
So, therefore, we will get the value of p hat is equal to 0 .06.
01:38
Now, by using this information we will calculate the test statistic and here we will be using the one proportion test one proportion z test.
01:57
So, therefore, the test statistic is given by z is equal to p hat minus p divided by p into 1 minus p upon n and this whole term is inside the square root sign.
02:11
So, this is equal to 0 .06 minus 0 .0155 divided by 0 .06 into 0 .94 divided by 250 and this is under the square root sign...