00:01
So our question says that the wild safari theme park allow visitors to drive their own vehicles across more than 400 acres of land that house thousands of freely running animals.
00:11
At the entrance, a sign warns that a sign warns that there is a 65 % chance that a car will take some damage by an animal during the visit.
00:19
Suppose 20 cars are selected at random and 18 cars have some damage.
00:23
Does it appear that the population proportion of cars with some damage exceeds the past claim? the hypothesis to be tested are so we have the null hypothesis versus the alternative hypothesis where the parameter p represents the population proportion of all cars that have some damage from an animal after the safari drive -through.
00:42
So let's go into our worksheet.
00:44
Our population proportion p is actually equals to 65%.
00:48
The sample size n, we are told that our sample size is equal to 20.
00:53
And out of 20, 18 of them were actually having like.
00:58
Like a hit with the animals or have some damage based on the heat with the animal's so our sample preparation pickup is going to be cost to 18 divided by 20 and when we do the mat with our calculator it's in divided by 20 that is equals to 0 .9 which is on 90 so our h note is based on the fact that a p is equals to 65 and the alternative hypothesis is that a p is greater than 65 so after stating the null and alternative hypothesis, the next step is for us to get the test statistics.
01:34
So there is actually a condition that allows us to use a normal distribution to model a sample proportion question and that is an np cap must be greater than or equals to 5 and nq cap must also be greater than or equals to 5.
01:49
So let's give it a try.
01:51
20 times 0 .9.
01:53
So let's do the math...