00:01
So in this question, because we are more interested in the percentage or proportion, this means that the type of test that we are going to consider is the test for a proportion.
00:10
Okay, let me put for a single population or single proportion.
00:18
Then we need to determine here what is the assumptions that we need to have.
00:24
So for this type of test, considering the list that we have here, the only thing that we need to consider is if the n times p, which in our case is 69 times 0 .31, because p is equal to 0 .31, is 21 .39, which is indeed greater than 10.
00:45
And at the same time, we want to test or basically check if this is also greater than 10.
00:52
So in this case, we have 69 times 0 .69, which will give us the answer 4761, which is also greater than 10.
01:02
So that's the option that we need to check here, that both np and n times 1 minus p are greater than 10.
01:10
Then in c, we compute or find the null hypothesis.
01:13
The null hypothesis will always include the cosine.
01:16
So in this case, because we want to test if the proportion is less than 0 .31, this will be our alternative hypothesis, because the null hypothesis will always include the equal sign...