00:01
From the given information, the null hypothesis for the test is h0 p equal to 0 .71 against the alternative hypothesis h1 p not equal to 0 .71.
00:16
Here the alternative hypothesis contains a note equal to symbol, hence here the test is 2 -tailed.
00:25
Now it is given that the level of significance alpha is 0 .2 .2 .2 .0.
00:31
02.
00:33
Now the sample size is given as n is equal to 386 and the number of success x is 250.
00:43
Thus the sample proportion p -cap is equal to x by n which is equal to 250 by 386 equal to 0 .648.
00:58
Now we can calculate the z test statistic here the 2.
01:02
Test is one sample proportion test and the test statistic is equal to z equal to p -cap minus p divided by square root of p into 1 minus p divided by n.
01:18
We have all the values p -cap 0 .648 minus 0 .71 divided by square root of 0 .71 into 0 .71 1 minus 0 .71 divided by 386.
01:43
This is equal to minus 2 .684.
01:49
Hence, the test statistic value is minus 2 .684.
01:56
Now we will identify the p value for the test...