00:01
Alright, in the given question we will be conducting a hypothesis test.
00:05
So our null hypothesis here is that the population proportion is 0 .74 and the alternative is that the population proportion is less than 0 .74.
00:15
So this is a left tail hypothesis test, right.
00:19
Now the size of the sample that we have is 200 and the sample proportion is 0 .70, right.
00:26
Now the test statistic value here is computed by the formula that is sample proportion minus population proportion divided by the standard error.
00:35
So this is equal to 0 .70 minus 0 .74 divided by square root of 0 .74 into 1 minus 0 .74 divided by 200.
00:50
So this is equal to minus 1 .29, right.
00:54
Now here the critical value, sorry, this is critical value, this corresponds to the value of z alpha by 2.
01:03
So alpha here is 0 .05.
01:05
So this is z 0 .025 which is equal to plus minus 1 point...