Pertains to Quesions (1 - 6):

A produce distributor claims that only 10% of its apples bruise during shipping. A high-end food retailer has recently had a lot of complaints about the condition of their apples. The retailer decided to perform a hypothesis test in order to determine whether the true proportion of bruised apples is greater than 10%. A random sample of 300 apples were collected and 42 of them were bruised. Perform the appropriate hypothesis test with a 0.05 significance level.

Question 1 (1 poin

Determine the appropriate null and alternative hypotheses.

Question 1 options:

A)	H0:p=0.10{"version":"1.1","math":"$H_0:p=0.10$"} H1:p<0.10{"version":"1.1","math":"$H_1:p<0.10$"}

B)	H0:p=0.10{"version":"1.1","math":"$H_0:p=0.10$"} H1:p>0.10{"version":"1.1","math":"$H_1:p>0.10$"}

C)	H0:p=0.10{"version":"1.1","math":"$H_0:p=0.10$"} H1:p0.10{"version":"1.1","math":"$H_1:p0.10$"}

Question 2 (1 point)

Determine the critical value(s) for the test.

Question 2 options:

A)

1.96

B)

-1.96

C)

1.645

D)

-1.645

Question 3 (1 point)

Determine the test statistic.

Question 3 options:

A)

2.00

B)

2.31

C)

-5.64

D)

-4.86

Question 4 (1 point)

What is the conclusion of your test?

Question 4 options:

A)	RejectH0{"version":"1.1","math":"$Reject{H}_0$"}

B)	FailtoRejectH0{"version":"1.1","math":"$FailtoReject{H}_0$"}

Question 5 (1 point)

Determine the p-value.

Question 5 options:

A)

.0228

B)

.9772

C)

.9896

D)

.0104

Question 6 (1 point)

Interpret the conclusion to your hypothesis test.

Question 6 options:

Answer on paper.

Pertains to Quesions (7 - 13):

Syringe-exchange programs represent one attempt to slow the spread of HIV infection among intravenous drug users. A study in The New England Journal of Medicine found that 68% of a random sample of syringes that were not distributed by the exchange were HIV-positive. After the syringe-exchange program was underway, a random sample found that 164 out of 338 needles were HIV-positive. Test the hypothesis, with a 0.005 significance level, that the proportion of HIV-infected needles has decreased after the exchange program was in operation.

Question 7 (1 point)

Determine the appropriate null and alternative hypotheses.

Question 7 options:

A)	H0:p=0.68{"version":"1.1","math":"$H_0:p=0.68$"} H1:p<0.68{"version":"1.1","math":"$H_1:p<0.68$"}

B)	H0:p=0.68{"version":"1.1","math":"$H_0:p=0.68$"} H1:p>0.68{"version":"1.1","math":"$H_1:p>0.68$"}

C)	H0:p=0.68{"version":"1.1","math":"$H_0:p=0.68$"} H1:p0.68{"version":"1.1","math":"$H_1:p0.68$"}

Question 8 (1 point)

Determine the critical value(s) for the test.

Question 8 options:

A)

2.576

B)

-2.576

C)

1.645

D)

-1.645

Question 9 (1 point)

Determine the test statistic.

Question 9 options:

A)

7.17

B)

7.68

C)

-7.17

D)

-7.68

Question 10 (1 point)

What is the conclusion of your test?

Question 10 options:

A)	RejectH0{"version":"1.1","math":"$Reject{H}_0$"}

B)	FailtoRejectH0{"version":"1.1","math":"$FailtoReject{H}_0$"}

Question 11 (1 point

Determine the p-value.

Question 11 options:

A)	pvalue1{"version":"1.1","math":"$p-value1$"}

B)	pvalue0{"version":"1.1","math":"$p-value0$"}

Question 12 (1 point)

Interpret the conclusion to your hypothesis test.

Question 12 options:

Answer on paper.

Question 13 (1 point)

Interpret the meaning of your p-value.

Question 13 options:

Answer on paper.

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Pertains to Quesions (14 - 20):

A certain country claims that only 23% of its children are malnourished. An anthropologist who just visited the area felt that this claim was way too low. In order to perform a hypothesis test at a 0.01 significance level, he observed 120 children and found 33 to be malnourished.

Question 14 (1 point)

Determine the appropriate null and alternative hypotheses.

Question 14 options:

A)	Ho:p=0.23{"version":"1.1","math":"$H_o:p=0.23$"} H1:p<0.23{"version":"1.1","math":"$H_1:p<0.23$"}

B)	Ho:p=0.23{"version":"1.1","math":"$H_o:p=0.23$"} H1:p>0.23{"version":"1.1","math":"$H_1:p>0.23$"}

C)	Ho:p=0.23{"version":"1.1","math":"$H_o:p=0.23$"} H1:p0.23{"version":"1.1","math":"$H_1:p0.23$"}

Question 15 (1 point)

Determine the test statistic.

Question 15 options:

A)

-5.37

B)

-5.71

C)

1.17

D)

1.10

Question 16 (1 point)

What is the conclusion of your test?

Question 16 options:

A)	RejectH0{"version":"1.1","math":"$Reject{H}_0$"}

B)	FailtoRejectH0{"version":"1.1","math":"$FailtoReject{H}_0$"}

Question 17 (1 point

Determine the p-value.

Question 17 options:

A)

.05

B)

.01

C)

.1210

D)

.1335

Question 18 (1 point)

Interpret the conclusion to your hypothesis test.

Question 18 options:

Answer on paper.

Question 19 (1 point)

If an error was made, what type of error would it be?

Question 19 options:

A)

Type I

B)

Type II

Question 20 (1 poin

Interpret a Type II error (error){"version":"1.1","math":"$(-error)$"}in the context of this problem.

Question 20 options:

Aswer on paper.