00:01
Let's solve this question.
00:02
In this question, we have given that we need to find in the first part a that is null and alternative hypothesis for the given question and after that here we have given x is equals to 11 and here n that is equals to 100.
00:18
Now here after that we need to find the test statistic that is z is equals to question mark and for that we need to find the p value that is equals to question mark and here we need to find the conclusion that is what type of error might you have committed.
00:42
So therefore we need to find the error or we can say the conclusion that is equals to question mark.
00:50
So here first of all we will find the estimate for the proportion of the plates that have.
01:02
So therefore here we can write p cap is equals to x divided by n is equals to 11 divided by 100 is equals to 0 .11 and here we have given p is equals to 10 percentage that is 0 .10.
01:18
So therefore here we need to find the null and alternative hypothesis.
01:23
So therefore here the null hypothesis such a 0 such that p is equals to 0 .1 versus the alternative hypothesis h a such that p is greater than 0 .1.
01:34
So therefore this will be our required answer.
01:37
So therefore here in this question we can say that the correct option that will be the fourth option.
01:45
So these will be the answer.
01:47
Now here we need to find the test statistic z.
01:50
So therefore we can write z that is equals to p cap minus p divided by square root of p 1 minus p divided by n...