Question

1.) A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Use a 95% confidence interval to estimate the true proportion of students who receive financial aid.

a.) 0.59+/-0.068

b.) 0.59+/-0.005

c.) 0.59+/-0.002

d.)0.59+/-0.474

2.)

Fill in the blanks. The owner of Get-A-Away Travel has recently surveyed a random sample of 479 customers to determine whether the mean age of the agency's customers is over 31. The appropriate hypotheses are H0=31, Ha: μ>31. If he concludes the mean age is over 31 when it is not, he makes a __________ error. If he concludes the mean age is not over 31 when it is, he makes a __________ error.

a.) Type II; Type II

b.) Type I; Type II

c.) Type I; Type I

d.) Type II; Type I

Answer #1

Ans:

1)

Point estimate=118/200=0.59

Margin of error=1.96*SQRT(0.59*(1-0.59)/200)=0.068

Option a is correct.

**0.59+/-0.068**

2)

Correct option is b:

**Type I; Type II**

If he concludes the mean age is over 31 when it is not, he makes a type I error. If he concludes the mean age is not over 31 when it is, he makes a type II error.

(as type I error is to reject the null hypothesis,when null hypothesis is true)

(as type II error is to fail to reject the null hypothesis,when null hypothesis is false)

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of students who receive
some sort of financial aid. Rather than examine the records for all
students, the dean randomly selects
200 students and finds that 118
of them are receiving financial aid. By hand, and using formulas
for the
“Margin of Error” (i.e. not calculator confidence interval), find a
98% confidence interval to estimate
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