00:01
Hello students, here we are given the significance level is 0 .025.
00:07
Test the claim that the proportion of men who own cat is larger than 70 percent.
00:14
So, first we ask you to write null and alternative hypothesis.
00:19
So, the null hypothesis is that the proportion of men who own cat is less than or equal to 0 .7 and hca is the proportion of men who own cat is greater than 0 .7.
00:48
Then based on the sample of 80 people, 77 percent own cats that means p cap is equal to 77.
01:12
So, we ask you to find the test statistic.
01:17
So, let me write the formula for that.
01:19
So, it is equal to p cap minus p naught divided by p naught into 1 minus p naught divided by n and take the square root of it.
01:32
So, this is equal to p cap is 0 .77.
01:40
This is 0 .77, 77 percent.
01:43
So, 0 .77 is p cap minus p naught is 0 .7 into 0 .7 into 1 minus 0 .7 divided by n which is 80 and take the square root of it.
02:04
So, this gives us the test statistic z is equal to 1 .3663 and then we ask you to find the critical value.
02:18
So, we ask you to round it to three decimal places...