00:01
For this question, we are told that based on hospital records, the hospital claims that the proportion of full -term babies, born that weigh more than seven pounds, is 36%, or that's a proportion of 0 .36.
00:18
To test this claim, someone has taken a sample of size 235, and in this sample of 235, 69 of the babies weighed more than 7 pounds.
00:30
And so we are asked if there is evidence based on the sample to reject the hospital's claim of 0 .36 at a significance level of 0 .10.
00:40
Now, the null hypothesis is usually that the sample doesn't indicate anything different.
00:46
So the null hypothesis is that the proportion is equal to 0 .36.
00:57
The alternative hypothesis here can be the proportion is not equal to 0 .36.
01:09
And so that is part a.
01:13
And then for part b, we are asked which test statistic we will use.
01:19
Now for a test on a proportion, as long as the proportion is not very close to zero or one, which it is not, and the sample size is relatively large, 235 is relatively large, then our test statistic can be this one.
01:56
This value is approximately standard normally distributed.
02:03
For c, we're asked to find the value of the test statistic.
02:05
So we can plug in our values that we have.
02:12
Here, x is 69 and is 235.
02:18
And the null hypothesized proportion is 0 .36.
02:42
And this comes out to minus 2 .120...