1. Give the null and alternative hypotheses in symbolic form that would be used in a hypothesis test of the following claim:

At most 59% of eligible voters actually voted in the last Presidential election.

a.

H₀: p = 0.59 vs. H₁: p > 0.59

b.

H₀: p = 0.59 vs. H₁: p 0.59

c.

H₀: p = 0.59 vs. H₁: p < 0.59

d.

none of these

2. Give the null and alternative hypotheses in symbolic form that would be used in a hypothesis test of the following claim:

The mean time between "clicks" of the second hand on a particular clock is not 1 second.

a.

H₀: = 1 vs. H₁: 1

b.

H₀: p = 1 vs. H₁: p 1

c.

H₀: = 1 vs. H₁: 1

d.

none of these

3. For the claim that is given symbolically below, determine whether it is part of a left-tailed, right-tailed, or two-tailed hypothesis test.

= 56.8

a.

a right-tailed hypothesis test

b.

a two-tailed hypothesis test

c.

a left-tailed hypothesis test

d.

impossible to determine from the information given

4. For the claim that is given symbolically below, determine whether it is part of a left-tailed, right-tailed, or two-tailed hypothesis test.

p > 0.50

a.

a right-tailed hypothesis test

b.

a two-tailed hypothesis test

c.

a left-tailed hypothesis test

d.

impossible to determine from the information given

5. For the claim that is given symbolically below, determine whether it is part of a left-tailed, right-tailed, or two-tailed hypothesis test.

14.7

a.

a right-tailed hypothesis test

b.

a two-tailed hypothesis test

c.

a left-tailed hypothesis test

d.

impossible to determine from the information given

6. Find the critical value(s) that would be used in a hypothesis test of the following claim.

Claim: "The mean amount of beverage in a medium drink sold at this college's cafeteria is less than 20 ounces."

A random sample of 101 medium drinks from this cafeteria is collected, and it produces a test statistic of t = -2.89. A significance level of = 0.01 is to be used.

a.

-2.626

b.

-2.33

c.

-2.575

d.

-2.364

7. Use the critical value(s) that you found in the previous question to test the following claim, and state the conclusion of the hypothesis test.

Claim: "The mean amount of beverage in a medium drink sold at this college's cafeteria is less than 20 ounces."

A random sample of 101 medium drinks from this cafeteria is collected, and it produces a test statistic of t = -2.89. A significance level of = 0.01 is to be used.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

8. Find the P-value that would be used in a hypothesis test of the following claim.

Claim: "This bottling facility under fills more than 5% of bottles."

A random sample of 600 bottles filled at this facility is selected, and a test statistic of z = 1.98 is calculated. A significance level of a = 0.025 is to be used.

a.

0.0482

b.

0.0477

c.

0.0239

d.

0.0241

9. Find the critical value(s) that would be used in a hypothesis test of the following claim.

Claim: "The percentage of Michigan residents who oppose a proposed increase in sales tax to pay for road repairs is not 50%."

A random sample of 725 Michigan residents was collected, and it produced a test statistic of z = -3.58. A significance level of = 0.02 is to be used.

a.

2.33

b.

2.05

c.

2.586

d.

2.334

10. Use the critical value(s) that you found in the previous question to test the following claim, and state the conclusion of the hypothesis test.

Claim: "The percentage of Michigan residents who oppose a proposed increase in sales tax to pay for road repairs is not 50%."

A random sample of 725 Michigan residents was collected, and it produced a test statistic of z = -3.58. A significance level of = 0.02 is to be used.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

11. Find the P-value that would be used in a hypothesis test of the following claim.

Claim: "The mean concentration of radon gas in American homes is 2.7 pCi/L."

A random sample of the concentration of radon gas in 91 American homes is collected, and it produced a test statistic of t = 2.78. A significance level of = 0.01 is to be used.

a.

0.0027

b.

0.0066

c.

0.0033

d.

0.0054

12. Use the P-value that you found in the previous question to test the following claim, and state the conclusion.

Claim: "The mean concentration of radon gas in American homes is 2.7 pCi/L."

A random sample of the concentration of radon gas in 91 American homes is collected, and it produced a test statistic of t = 2.78. A significance level of = 0.01 is to be used.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

13. Use the P-value that you found in the previous question to test the following claim, and state the conclusion.

Claim: "This bottling facility under fills more than 5% of bottles."

A random sample of 600 bottles filled at this facility is selected, and a test statistic of z = 1.98 is calculated. A significance level of a = 0.025 is to be used.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

14. Determine whether the outcome of the following hypothesis test was a correct decision, a type I error, or a type II error.

Claim: "The average retail of a 20 ounce bottle of water in this county is at least $2.00"

A hypothesis test of this claim resulted in the decision to reject H₀. The actual average price is $1.95.

a.

type II error

b.

correct decision

c.

type I error

d.

impossible to determine from the given information

15. Determine whether the outcome of the following hypothesis test was a correct decision, a type I error, or a type II error.

Claim: "Less than 40% of college students graduate with student loan debt."

A hypothesis test of this claim resulted in the decision to reject H₀. The actual percentage of college graduates with student loan debt is 45%.

a.

type II error

b.

correct decision

c.

type I error

d.

impossible to determine from the given information

16. Determine whether the outcome of the following hypothesis test was a correct decision, a type I error, or a type II error.

Claim: "At least 2/3 of dieters regain the weight they lost from dieting."

A hypothesis test of this claim resulted in the decision to fail to reject H₀. The actual percentage of dieters who regained the weight they lost is 60%.

a.

type II error

b.

correct decision

c.

type I error

d.

impossible to determine from the given information

17. Identify the P-VALUE used in a hypothesis test of the following claim and sample data:

Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."

A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.

a.

1.883

b.

0.459

c.

0.168

d.

0.030

18. Identify the correct HYPOTHESES used in a hypothesis test of the following claim and sample data:

Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."

A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.

a.

H₀: p = 0.06 vs. H₁: p < 0.06

b.

H₀: = 0.06 vs. H₁: < 0.06

c.

H₀: = 0.06 vs. H₁: > 0.06

d.

H₀: p = 0.06 vs. H₁: p > 0.06

19. Identify the value of the TEST STATISTIC used in a hypothesis test of the following claim and sample data:

Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."

A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.

a.

-1.645

b.

-1.883

c.

-0.102

d.

-1.96

20. Identify the absolute value of theCRITICAL VALUES used in a hypothesis test of the following claim and sample data:

Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."

A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.

a.

1.645

b.

1.883

c.

0.102

d.

1.96

21. State the CONCLUSION of the hypothesis test of the following claim:

Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."

A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

22. Identify the correct HYPOTHESES used in a hypothesis test of the following claim and sample data:

Claim: "Less than 14% of students would shop at the campus bookstore on Sundays."

A random sample of 153 students is selected, and 8% of them said they would shop at the bookstore if it was open on Sundays. Test the claim at the 0.01 significance level.

a.

H₀: p = 0.14 vs. H₁: p < 0.14

b.

H₀: = 0.14 vs. H₁: < 0.14

c.

H₀: = 0.14 vs. H₁: > 0.14

d.

H₀: p = 0.14 vs. H₁: p > 0.14

23. Identify the value of the TEST STATISTIC used in a hypothesis test of the following claim and sample data:

Claim: "Less than 14% of students would shop at the campus bookstore on Sundays."

A random sample of 153 students is selected, and 8% of them said they would shop at the bookstore if it was open on Sundays. Test the claim at the 0.01 significance level.

a.

-2.33

b.

-2.195

c.

-6.487

d.

-2.575

24. Identify the absolute value of theCRITICALVALUE(S) used in a hypothesis test of the following claim and sample data:

Claim: "Less than 14% of students would shop at the campus bookstore on Sundays."

A random sample of 153 students is selected, and 8% of them said they would shop at the bookstore if it was open on Sundays. Test the claim at the 0.01 significance level.

a.

2.33

b.

2.195

c.

6.487

d.

2.575

25. Identify the P-VALUE used in a hypothesis test of the following claim and sample data:

Claim: "Less than 14% of students would shop at the campus bookstore on Sundays."

A random sample of 153 students is selected, and 8% of them said they would shop at the bookstore if it was open on Sundays. Test the claim at the 0.01 significance level.

a.

0.014

b.

5.810^-10

c.

1.1610^-9

d.

0.028

26. Identify the correct CONCLUSION of a hypothesis test of the following claim and sample data:

Claim: "Less than 14% of students would shop at the campus bookstore on Sundays."

A random sample of 153 students is selected, and 8% of them said they would shop at the bookstore if it was open on Sundays. Test the claim at the 0.01 significance level.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

27.Identify the correct HYPOTHESES used in a hypothesis test of the following claim and sample data:

Claim: "The average battery life (between charges) of this model of tablet is at least 12 hours."

A random sample of 80 of these tablets is selected, and it is found that their average battery life is 11.58 hours with a standard deviation of 1.93 hours. Test the claim at the 0.05 significance level.

a.

H₀: p = 12 vs. H₁: p < 12

b.

H₀: = 12 vs. H₁: < 12

c.

H₀: = 12 vs. H₁: > 12

d.

H₀: p = 12 vs. H₁: p > 12

28. Identify the value of the TEST STATISTIC used in a hypothesis test of the following claim and sample data:

Claim: "The average battery life (between charges) of this model of tablet is at least 12 hours."

A random sample of 80 of these tablets is selected, and it is found that their average battery life is 11.58 hours with a standard deviation of 1.93 hours. Test the claim at the 0.05 significance level.

a.

-1.667

b.

-0.218

c.

-1.946

d.

-1.645

29. Identify the absolute value of theCRITICALVALUE(S) used in a hypothesis test of the following claim and sample data:

Claim: "The average battery life (between charges) of this model of tablet is at least 12 hours."

A random sample of 80 of these tablets is selected, and it is found that their average battery life is 11.58 hours with a standard deviation of 1.93 hours. Test the claim at the 0.05 significance level.

a.

1.667

b.

0.218

c.

1.946

d.

1.645

30. Identify the P-VALUE from a hypothesis test of the following claim and sample data:

Claim: "The average battery life (between charges) of this model of tablet is at least 12 hours."

A random sample of 80 of these tablets is selected, and it is found that their average battery life is 11.58 hours with a standard deviation of 1.93 hours. Test the claim at the 0.05 significance level.

a.

0.052

b.

0.026

c.

0.055

d.

0.028