00:01
Hey there, welcome to numerate.
00:02
So we're testing a claim of the proportion of men who owned cats, which is claimed, originally claimed as 30%.
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We have our sample of 500 people, where 22 % of them actually own cats.
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You want to see if there's a significant difference between this proportion.
00:18
And so we're going to start with our null and alternative hypothesis.
00:22
So our null hypothesis, we're dealing with proportions here.
00:25
So it will be p equals to 0 .30.
00:30
Since that is the proportion that we are given here originally.
00:36
Now the alternative hypothesis is to see if there's a significant difference.
00:41
So that means that p does not equal to 0 .30.
00:46
All right, so we're going to use a z score test over here, since we're dealing with the proportions.
00:51
We're going to take our sample proportion, which is 0 .22, subtracted to our population proportion, which is 0 .3, divided by the square root of 0 .3 times 0 .7 divided by our sample size of 500 people...