00:01
Hello students, for the question number 1, the null hypothesis is p is equal to 0 .6, alternative hypothesis p not equal to 0 .6.
00:14
So, this is the two -tailed test and here n is equal to 20, the p cap sample proportion which is 65 percentage, we get 0 .65.
00:25
Now, here the formula for test statistic p cap minus p divided by square root of p into 1 minus p by n.
00:34
Now, substitute the values which is 0 .65 minus 0 .6 divided by 0 .6 into 0 .4 divided by 20, we get our result value as 0 .4564.
00:50
Now, to calculate the alpha which is 0 .05, the z critical value that is 1 .96.
01:00
So, the z calculated value is less than z critical value.
01:07
So, here we reject our null hypothesis h naught at 5 percent level of significance.
01:14
Then, for the question number 2, they given that the null hypothesis p is equal to 0 .73, alternative hypothesis p less than 0 .73...