00:01
For this question, so what's given? the null hypothesis was given as the p value, which is 0 .50, and the alternative hypothesis, which was given as p is less than 0 .50 here.
00:14
So that means the population mean, i mean population proportion, which is equal to 0 .50 here.
00:20
And also the sample proportion, which is denoted by p hat, this is 0 .42, and the sample size, which was given as 100.
00:29
So we need to get the z score.
00:31
So the z score is equal to which is the p hat minus p and divided by the standard division, which is this is p, which is equal to this is p and times 1 minus p and divided by n here.
00:47
So we can get the z statistic here.
00:50
So from here the z statistics, which is equal to.
00:55
So the p hat, this is 0 .42 minus 0 .50.
00:59
And divided by, which is the square root of, this is 0 .50, and 1 minus 0 .50, again, this is 0 .50, and divided by 100, which is equal to.
01:12
So, this is 0 .08.
01:16
So in this case, what was the p hat here? let me check the p head.
01:20
Yeah, the p hat is 0 .42 here.
01:22
So in this case, we've got, this is 0 .08, which is negative 0 .08, and this is divided by, open the bracket, so this is the square of which is 0 .5 and times 0 .5 and this is divided by which is 100.
01:40
So the value would be which is 1 .6.
01:42
So the z square here, the z statistics, which is negative 1 .6 here.
01:47
So this is the part a...