00:01
Hi, i'm david and i'm here to have you and see your question.
00:03
Now let me pick up your question here.
00:06
In the question here, we are going to discuss about the hypothesis testing.
00:10
Here, want to test the belief that the proportion of women in similar cells positions across the country is less than the 45%.
00:20
So, what you test the known hypothesis with the proportion equal to the 0 .45 versus the alternative hypothesis that this is a 0 .45 versus the alternative hypothesis that this is a number one, proportion will be less than 0 .45.
00:37
And in this question here, we're given the sample size n equal to the 50 and the x equal to 18 only.
00:47
So from here we can find the sample proportion phek equal to the x over n equal to 18 over the 50.
00:54
And then we get equal to the 0 .346.
00:58
The next time we need to find the test statistics denoted by the z.
01:03
The formula will be the p hoth minus p over square root of the p times 1 minus p over the n.
01:10
Then we have the p hot equal to the 0 .36 p equal to the 0 .45, the 1 by the square root of the 0 .145 times 1 minus 0 .45 over the end will be the 50.
01:24
Now if we compute, we get the answer equal to divided by square root on the 0 .45 times 0 .55 divided by the 50.
01:35
And then we get equal to the minus 1 .279.
01:41
And that could be the test statistics.
01:43
And we need to find the critical value because this could be the left tail test.
01:49
Then the critical value equals to the minus z on the unfar.
01:53
Here unfar equal to in this question here it doesn't tell us the unfar...