00:01
Let me take notes the given values here.
00:02
So first of all, the hypothesis testing given here, so the p is less than or equal to 0 .58.
00:08
And for the alternative hypothesis, or this is h1, denoted by h1 here, so the p is greater than 0 .58.
00:15
So from this information, the population proportion here is 0 .58.
00:20
And what else information given here? the sample proportion.
00:24
The sample proportion is denoted by p hat.
00:26
That was given as 0 .60.
00:28
And the sample size, which is denoted by n, that was given as 900.
00:32
So we have to find the critical z value.
00:35
So for the proportion, the critical z value is equal to, which is, this is the sample proportion minus the population proportion divided by square root of p times 1 minus p and divided by n.
00:48
Let me put the values here.
00:50
This is 0 .60 minus 0 .58 and divided by square root of 0 .58 times 1 minus 0 .58, which is 0 .42, and divided by the sample size, which is 900, which is equal to, this is 0 .02 and divided by, this is inside the square root sign, 0 .58 times 0 .42, and this is divided by, which is 900.
01:16
So the value here, which is 1 .216, so this is 1 .216, is the critical value here.
01:26
This is the test statistic value.
01:28
Let me just make a correction here...