The null hypothesis H 0 and the alternative hypothesis H 1 .

Question

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Answer 1

Question

Chapter 10, Problem 1RE

(a)

To determine

The null hypothesis H₀ and the alternative hypothesis H₁.

(a)

Expert Solution

Answer to Problem 1RE

Solution: The null and alternative hypothesis are

H0:μ=$3173

and

H1:μ<$3173

Explanation of Solution

Given: The mean of credit card debt of UG was $3173.

Explanation: In the study, μ is the mean of credit card debt of college students, x¯ is the sample mean in the study and n is the sample size. The researcher believes that the amount was $3,173 in 2010, that is (H0:μ=$3173), and this amount has decreased by $3173, that is, (H1:μ<$3173).

(b)

To determine

To explain: The type I error in this study.

(b)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is rejected when the mean credit card of college UG students has not reduced. Thus, it can be a type I error.

Explanation of Solution

The type I error is defined as

α=P(Type I error)

(c)

To determine

To explain: The type II error in this study.

(c)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is not rejected when the mean credit card of college UG students has reduced. Thus, it can be a type II error.

Explanation of Solution

The type II error is defined as

β=P(Type II error)

(d)

To determine

To state: The conclusion if H₀ is not rejected.

(d)

Expert Solution

Answer to Problem 1RE

Solution: There is not enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

(e)

To determine

To state: The conclusion if H₀ is rejected.

(e)

Expert Solution

Answer to Problem 1RE

Solution: There is enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

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Answer 2

Question

Chapter 10, Problem 1RE

(a)

To determine

The null hypothesis H₀ and the alternative hypothesis H₁.

(a)

Expert Solution

Answer to Problem 1RE

Solution: The null and alternative hypothesis are

H0:μ=$3173

and

H1:μ<$3173

Explanation of Solution

Given: The mean of credit card debt of UG was $3173.

Explanation: In the study, μ is the mean of credit card debt of college students, x¯ is the sample mean in the study and n is the sample size. The researcher believes that the amount was $3,173 in 2010, that is (H0:μ=$3173), and this amount has decreased by $3173, that is, (H1:μ<$3173).

(b)

To determine

To explain: The type I error in this study.

(b)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is rejected when the mean credit card of college UG students has not reduced. Thus, it can be a type I error.

Explanation of Solution

The type I error is defined as

α=P(Type I error)

(c)

To determine

To explain: The type II error in this study.

(c)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is not rejected when the mean credit card of college UG students has reduced. Thus, it can be a type II error.

Explanation of Solution

The type II error is defined as

β=P(Type II error)

(d)

To determine

To state: The conclusion if H₀ is not rejected.

(d)

Expert Solution

Answer to Problem 1RE

Solution: There is not enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

(e)

To determine

To state: The conclusion if H₀ is rejected.

(e)

Expert Solution

Answer to Problem 1RE

Solution: There is enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

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Answer 3

Question

Chapter 10, Problem 1RE

(a)

To determine

The null hypothesis H₀ and the alternative hypothesis H₁.

(a)

Expert Solution

Answer to Problem 1RE

Solution: The null and alternative hypothesis are

H0:μ=$3173

and

H1:μ<$3173

Explanation of Solution

Given: The mean of credit card debt of UG was $3173.

Explanation: In the study, μ is the mean of credit card debt of college students, x¯ is the sample mean in the study and n is the sample size. The researcher believes that the amount was $3,173 in 2010, that is (H0:μ=$3173), and this amount has decreased by $3173, that is, (H1:μ<$3173).

(b)

To determine

To explain: The type I error in this study.

(b)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is rejected when the mean credit card of college UG students has not reduced. Thus, it can be a type I error.

Explanation of Solution

The type I error is defined as

α=P(Type I error)

(c)

To determine

To explain: The type II error in this study.

(c)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is not rejected when the mean credit card of college UG students has reduced. Thus, it can be a type II error.

Explanation of Solution

The type II error is defined as

β=P(Type II error)

(d)

To determine

To state: The conclusion if H₀ is not rejected.

(d)

Expert Solution

Answer to Problem 1RE

Solution: There is not enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

(e)

To determine

To state: The conclusion if H₀ is rejected.

(e)

Expert Solution

Answer to Problem 1RE

Solution: There is enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

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Answer 4

Question

Chapter 10, Problem 1RE

(a)

To determine

The null hypothesis H₀ and the alternative hypothesis H₁.

(a)

Expert Solution

Answer to Problem 1RE

Solution: The null and alternative hypothesis are

H0:μ=$3173

and

H1:μ<$3173

Explanation of Solution

Given: The mean of credit card debt of UG was $3173.

Explanation: In the study, μ is the mean of credit card debt of college students, x¯ is the sample mean in the study and n is the sample size. The researcher believes that the amount was $3,173 in 2010, that is (H0:μ=$3173), and this amount has decreased by $3173, that is, (H1:μ<$3173).

(b)

To determine

To explain: The type I error in this study.

(b)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is rejected when the mean credit card of college UG students has not reduced. Thus, it can be a type I error.

Explanation of Solution

The type I error is defined as

α=P(Type I error)

(c)

To determine

To explain: The type II error in this study.

(c)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is not rejected when the mean credit card of college UG students has reduced. Thus, it can be a type II error.

Explanation of Solution

The type II error is defined as

β=P(Type II error)

(d)

To determine

To state: The conclusion if H₀ is not rejected.

(d)

Expert Solution

Answer to Problem 1RE

Solution: There is not enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

(e)

To determine

To state: The conclusion if H₀ is rejected.

(e)

Expert Solution

Answer to Problem 1RE

Solution: There is enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

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Answer 5

Chapter 10, Problem 1RE

(a)

To determine

The null hypothesis H₀ and the alternative hypothesis H₁.

(a)

Expert Solution

Answer to Problem 1RE

Solution: The null and alternative hypothesis are

H0:μ=$3173

and

H1:μ<$3173

Explanation of Solution

Given: The mean of credit card debt of UG was $3173.

Explanation: In the study, μ is the mean of credit card debt of college students, x¯ is the sample mean in the study and n is the sample size. The researcher believes that the amount was $3,173 in 2010, that is (H0:μ=$3173), and this amount has decreased by $3173, that is, (H1:μ<$3173).

(b)

To determine

To explain: The type I error in this study.

(b)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is rejected when the mean credit card of college UG students has not reduced. Thus, it can be a type I error.

Explanation of Solution

The type I error is defined as

α=P(Type I error)

(c)

To determine

To explain: The type II error in this study.

(c)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is not rejected when the mean credit card of college UG students has reduced. Thus, it can be a type II error.

Explanation of Solution

The type II error is defined as

β=P(Type II error)

(d)

To determine

To state: The conclusion if H₀ is not rejected.

(d)

Expert Solution

Answer to Problem 1RE

Solution: There is not enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

(e)

To determine

To state: The conclusion if H₀ is rejected.

(e)

Expert Solution

Answer to Problem 1RE

Solution: There is enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

Answer 6

Chapter 10, Problem 1RE

(a)

To determine

The null hypothesis H₀ and the alternative hypothesis H₁.

(a)

Expert Solution

Answer to Problem 1RE

Solution: The null and alternative hypothesis are

H0:μ=$3173

and

H1:μ<$3173

Explanation of Solution

Given: The mean of credit card debt of UG was $3173.

Explanation: In the study, μ is the mean of credit card debt of college students, x¯ is the sample mean in the study and n is the sample size. The researcher believes that the amount was $3,173 in 2010, that is (H0:μ=$3173), and this amount has decreased by $3173, that is, (H1:μ<$3173).

Answer 7

Chapter 10, Problem 1RE

(a)

To determine

The null hypothesis H₀ and the alternative hypothesis H₁.

Answer 8

(a)

Expert Solution

Answer to Problem 1RE

Solution: The null and alternative hypothesis are

H0:μ=$3173

and

H1:μ<$3173

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Given: The mean of credit card debt of UG was $3173.

Explanation: In the study, μ is the mean of credit card debt of college students, x¯ is the sample mean in the study and n is the sample size. The researcher believes that the amount was $3,173 in 2010, that is (H0:μ=$3173), and this amount has decreased by $3173, that is, (H1:μ<$3173).

Answer 13

(b)

To determine

To explain: The type I error in this study.

(b)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is rejected when the mean credit card of college UG students has not reduced. Thus, it can be a type I error.

Explanation of Solution

The type I error is defined as

α=P(Type I error)

Answer 14

(b)

To determine

To explain: The type I error in this study.

Answer 15

(b)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is rejected when the mean credit card of college UG students has not reduced. Thus, it can be a type I error.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The type I error is defined as

α=P(Type I error)

Answer 20

(c)

To determine

To explain: The type II error in this study.

(c)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is not rejected when the mean credit card of college UG students has reduced. Thus, it can be a type II error.

Explanation of Solution

The type II error is defined as

β=P(Type II error)

Answer 21

(c)

To determine

To explain: The type II error in this study.

Answer 22

(c)

Expert Solution

Answer to Problem 1RE

Solution: The null hypothesis H₀ is not rejected when the mean credit card of college UG students has reduced. Thus, it can be a type II error.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The type II error is defined as

β=P(Type II error)

Answer 27

(d)

To determine

To state: The conclusion if H₀ is not rejected.

(d)

Expert Solution

Answer to Problem 1RE

Solution: There is not enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

Answer 28

(d)

To determine

To state: The conclusion if H₀ is not rejected.

Answer 29

(d)

Expert Solution

Answer to Problem 1RE

Solution: There is not enough evidence at the significance level to support the researcher’s opinion.

Answer 30

(d)

Expert Solution

Answer 31

(d)

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

Answer 34

(e)

To determine

To state: The conclusion if H₀ is rejected.

(e)

Expert Solution

Answer to Problem 1RE

Solution: There is enough evidence at the significance level to support the researcher’s opinion.

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.

Answer 35

(e)

To determine

To state: The conclusion if H₀ is rejected.

Answer 36

(e)

Expert Solution

Answer to Problem 1RE

Solution: There is enough evidence at the significance level to support the researcher’s opinion.

Answer 37

(e)

Expert Solution

Answer 38

(e)

Expert Solution

Answer 39

Expert Solution

Answer 40

Explanation of Solution

In testing of a hypothesis, it is essential to remember that the null hypothesis cannot be accepted because without taking access to the whole population, the particular value of the parameter is not known.