α and β for a statistical hypothesis test.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 9, Problem 9.52SE

i.

To determine

To explain:

α and β for a statistical hypothesis test.

i.

Expert Solution

Answer to Problem 9.52SE

The significance level and the probability of making a Type II error is denoted by letterαand βrespectively.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

For example,

The difference exists when there is no actual difference is denoted by 5% risk or a significance level of 0.05 .

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

Conclusion:

The significance level and the probability of making a Type II error is denoted by letter α and β respectively.

ii.

To determine

To explain:

The change in the value of β if the value of α is decreases.

ii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the value of αthe value of βwill increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

For a fixed sample size, if value of α decreases then value of β will increases.

Conclusion:

Therefore, if value of α decreases then value of β will increases

iii.

To determine

To explain:

The change in sample on decreasing α and β .

iii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the values of α and β , the sample size is increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a type II error (accepting the null hypothesis when the null hypothesis is false).

The sample size is increases on decreasing the values of α and β

Conclusion:

Therefore, the sample size is increases on decreasing the values of α and β .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 2

Question

Chapter 9, Problem 9.52SE

i.

To determine

To explain:

α and β for a statistical hypothesis test.

i.

Expert Solution

Answer to Problem 9.52SE

The significance level and the probability of making a Type II error is denoted by letterαand βrespectively.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

For example,

The difference exists when there is no actual difference is denoted by 5% risk or a significance level of 0.05 .

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

Conclusion:

The significance level and the probability of making a Type II error is denoted by letter α and β respectively.

ii.

To determine

To explain:

The change in the value of β if the value of α is decreases.

ii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the value of αthe value of βwill increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

For a fixed sample size, if value of α decreases then value of β will increases.

Conclusion:

Therefore, if value of α decreases then value of β will increases

iii.

To determine

To explain:

The change in sample on decreasing α and β .

iii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the values of α and β , the sample size is increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a type II error (accepting the null hypothesis when the null hypothesis is false).

The sample size is increases on decreasing the values of α and β

Conclusion:

Therefore, the sample size is increases on decreasing the values of α and β .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 9, Problem 9.52SE

i.

To determine

To explain:

α and β for a statistical hypothesis test.

i.

Expert Solution

Answer to Problem 9.52SE

The significance level and the probability of making a Type II error is denoted by letterαand βrespectively.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

For example,

The difference exists when there is no actual difference is denoted by 5% risk or a significance level of 0.05 .

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

Conclusion:

The significance level and the probability of making a Type II error is denoted by letter α and β respectively.

ii.

To determine

To explain:

The change in the value of β if the value of α is decreases.

ii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the value of αthe value of βwill increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

For a fixed sample size, if value of α decreases then value of β will increases.

Conclusion:

Therefore, if value of α decreases then value of β will increases

iii.

To determine

To explain:

The change in sample on decreasing α and β .

iii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the values of α and β , the sample size is increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a type II error (accepting the null hypothesis when the null hypothesis is false).

The sample size is increases on decreasing the values of α and β

Conclusion:

Therefore, the sample size is increases on decreasing the values of α and β .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 9, Problem 9.52SE

i.

To determine

To explain:

α and β for a statistical hypothesis test.

i.

Expert Solution

Answer to Problem 9.52SE

The significance level and the probability of making a Type II error is denoted by letterαand βrespectively.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

For example,

The difference exists when there is no actual difference is denoted by 5% risk or a significance level of 0.05 .

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

Conclusion:

The significance level and the probability of making a Type II error is denoted by letter α and β respectively.

ii.

To determine

To explain:

The change in the value of β if the value of α is decreases.

ii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the value of αthe value of βwill increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

For a fixed sample size, if value of α decreases then value of β will increases.

Conclusion:

Therefore, if value of α decreases then value of β will increases

iii.

To determine

To explain:

The change in sample on decreasing α and β .

iii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the values of α and β , the sample size is increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a type II error (accepting the null hypothesis when the null hypothesis is false).

The sample size is increases on decreasing the values of α and β

Conclusion:

Therefore, the sample size is increases on decreasing the values of α and β .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 9, Problem 9.52SE

i.

To determine

To explain:

α and β for a statistical hypothesis test.

i.

Expert Solution

Answer to Problem 9.52SE

The significance level and the probability of making a Type II error is denoted by letterαand βrespectively.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

For example,

The difference exists when there is no actual difference is denoted by 5% risk or a significance level of 0.05 .

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

Conclusion:

The significance level and the probability of making a Type II error is denoted by letter α and β respectively.

ii.

To determine

To explain:

The change in the value of β if the value of α is decreases.

ii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the value of αthe value of βwill increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

For a fixed sample size, if value of α decreases then value of β will increases.

Conclusion:

Therefore, if value of α decreases then value of β will increases

iii.

To determine

To explain:

The change in sample on decreasing α and β .

iii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the values of α and β , the sample size is increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a type II error (accepting the null hypothesis when the null hypothesis is false).

The sample size is increases on decreasing the values of α and β

Conclusion:

Therefore, the sample size is increases on decreasing the values of α and β .

Answer 6

Chapter 9, Problem 9.52SE

i.

To determine

To explain:

α and β for a statistical hypothesis test.

i.

Expert Solution

Answer to Problem 9.52SE

The significance level and the probability of making a Type II error is denoted by letterαand βrespectively.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

For example,

The difference exists when there is no actual difference is denoted by 5% risk or a significance level of 0.05 .

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

Conclusion:

The significance level and the probability of making a Type II error is denoted by letter α and β respectively.

Answer 7

Chapter 9, Problem 9.52SE

i.

To determine

To explain:

α and β for a statistical hypothesis test.

Answer 8

i.

Expert Solution

Answer to Problem 9.52SE

The significance level and the probability of making a Type II error is denoted by letterαand βrespectively.

Answer 9

i.

Expert Solution

Answer 10

i.

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

For example,

The difference exists when there is no actual difference is denoted by 5% risk or a significance level of 0.05 .

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

Conclusion:

The significance level and the probability of making a Type II error is denoted by letter α and β respectively.

Answer 13

ii.

To determine

To explain:

The change in the value of β if the value of α is decreases.

ii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the value of αthe value of βwill increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

For a fixed sample size, if value of α decreases then value of β will increases.

Conclusion:

Therefore, if value of α decreases then value of β will increases

Answer 14

ii.

To determine

To explain:

The change in the value of β if the value of α is decreases.

Answer 15

ii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the value of αthe value of βwill increases.

Answer 16

ii.

Expert Solution

Answer 17

ii.

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a Type II error (accepting the null hypothesis when the null hypothesis is false).

For a fixed sample size, if value of α decreases then value of β will increases.

Conclusion:

Therefore, if value of α decreases then value of β will increases

Answer 20

iii.

To determine

To explain:

The change in sample on decreasing α and β .

iii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the values of α and β , the sample size is increases.

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a type II error (accepting the null hypothesis when the null hypothesis is false).

The sample size is increases on decreasing the values of α and β

Conclusion:

Therefore, the sample size is increases on decreasing the values of α and β .

Answer 21

iii.

To determine

To explain:

The change in sample on decreasing α and β .

Answer 22

iii.

Expert Solution

Answer to Problem 9.52SE

On decreasing the values of α and β , the sample size is increases.

Answer 23

iii.

Expert Solution

Answer 24

iii.

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The significance level of the hypothesis is denoted by the letter α . It is the rejection probability when the null hypothesis is true.

The beta level (often simply called beta) is the probability of making a type II error (accepting the null hypothesis when the null hypothesis is false).

The sample size is increases on decreasing the values of α and β

Conclusion:

Therefore, the sample size is increases on decreasing the values of α and β .