Question 3 Afast-food chain hasjust developed a new process to make sre that nan

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Question 3 Afast-food chain hasjust developed a new process to make sre that nan·o served erect, ung he previous process, orders were served corectly 88% of the tr.A wple of 100 oran-rg-e-nee s selected and 92 are served correctly. At the 0.01 level of significance, can you conclude that the new proces has changed the proportion of orders served corectlty? 2.5 pts The null and alternative hypotheses are Courses B. Ho p-0.88 and Hr: p0.88 C. Ho: 088 D. Ho: 0.88 and H:x>0.88 E.Ho: > 0.88 and H1:

Explanation / Answer

1.

The hypothesis is one of equality, as we want to test if population proportion is equal or 'not equal'

So, use p and use equality in null hypothesis.

Hence, B is the right hypothesis

2.
Test statistic = (pcap-p)/sqrt(p*p'/n) = (.92-.88)/sqrt(.88*.12/100) = 1.23091

A is right

3. Critical value for .01 alpha is -2.56 and 2.56
So, L is right

4.Conclusion is 1. A
Since our value of test statistic is not beyond 2.56 or lesser than -2.56 we conclude that we don't have enough evidence to reject null hypothesis.

So, answer is A

5.
D is right.

A is something which is binomial dist' approx for normal distribution. Even B is the same. So, A and B has got nothing to do with normality of sampling distribution

E is ruled out.

CLT says that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population.D is right

CLT doesnt put a sample size, All the more, CLT also holds true for sizes less than 30. So, C is out.

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