00:01
Hello students, here we are asked to state the null and alternative hypothesis.
00:05
So the null hypothesis is that h0 p is less than or equal to 0 .15 and alternative hypothesis is that h1 p greater than 0 .15.
00:22
Here next we are asked to determine the degrees of freedom.
00:31
Since we are dealing with the proportions and performing one tailed test, we will use z test, so no need of finding degrees of freedom.
00:42
The question b, so to find the test statistic the formula is z is equal to p cap minus p divided by p into 1 minus p divided by n and take the square root of it.
01:03
So p cap is equal to x by n that is equal to 52 by 260 which is equal to 0 .2.
01:15
So this gives z is equal to 0 .2 minus 0 .15 divided by 0 .2 divided by 0 .15 into 1 minus 0 .15 divided by n that is 260.
01:41
So this gives us a z test statistic of 2 .25, 2 .2579.
01:55
So this is question c that is to find the test statistic...