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Chapter 10: Q 4. (page 639)

Literacy Refer to Exercise 2.

a. Find the probability that the proportion of graduates who pass the test is at most 0.20higher than the proportion of dropouts who pass, assuming that the researcher鈥檚 report is correct.

b. Suppose that the difference (Graduate 鈥� Dropout) in the sample proportions who pass the test is exactly 0.20. Based on your result in part (a), would this give you reason to doubt the researcher鈥檚 claim? Explain your reasoning.

Short Answer

Expert verified

a. P(z<-2.61)=0.00453

b. Due to small value of probability, there is reason to doubt company's claim.

Step by step solution

01

Given Information

It is given that 渭=0.40

蟽=0.07745

p^G-p^D=0.20

02

Calculation of Probability

Using z=x-渭蟽

=0.20-0.400.07745鈮�-2.61

Hence, P(z<-2.61)=0.00453

=0.45%

03

Reason to Doubt Company's Claim

As we have calculated P(z<-2.61)=0.00453. Is is very small.

There is reason to doubt company's claim.

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Most popular questions from this chapter

Friday the 13thRefer to Exercise 88.

a. Construct and interpret a 90%confidence interval for the true mean difference. If you already defined parameters and checked conditions in Exercise 88, you don鈥檛 need to do them again here.

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