Question

For statements a-j ( Section: 9.109 ), answer the following in complete sentences.

a. State a consequence of committing a Type I error.

b. State a consequence of committing a Type II error.

Short answer

a. Not much significance in both type errors.

b. A little significance in both Type I and Type II errors.

c. A high significance in both Type I and II errors.

d. A high significance Type I error and a low significance for Type II error.

e. Not of much significance in both type I and Type II errors.

f. A high significance for both Type I and II errors.

g. Not of much significance, in both Type I and Type II errors

h. A little significance, in both Type I and Type II errors

i. Type I error has a terrible consequence and type II error has little consequence.

j. A big consequence in both Type I and Type II errors.

Step-by-step solution

Introduction

The one-sample t-test is a statistical hypothesis test that is used to evaluate if an unknown population mean differs from a given value.

Explanation Part a

Not of much significance, in both Type I and Type II errors only a discrepancy in the calculation of the mean is noted.

Not much significance.

Explanation Part b

A little significance, in both Type I and Type II errors a discrepancy in the calculation number of voters is seen, however, it will have little effect on the actual outcome of the election.

A little significance.

Explanation Part c

A high significance in Type I error a difference in the attitude of the applicants for a particular job will be seen, some even opting out of it.

A high significance for Type II error but in this case for the recruiter where the applicants might be in a misunderstanding a higher pay cheque.

A high significance in both Type I and II errors.

Explanation Part d 

A high significance in Type I error since we might underestimate the number of high school seniors that are getting drunk.

A low significance for Type II error.

A high significance Type I error and a low significance for Type II error.

Explanation Part e

Not of much significance or consequence, in both type I and Type II errors since the sample size is too little to affect any outcome. No great consequence.

Explanation Part f

A high significance in Type I error since we might believe that the average person is richer.

Solution (b): A high significance in Type II error since we might believe that the average person is poorer.

A high significance for both Type I and II errors.

Explanation Part g

Not of much significance, in both Type I and Type II errors only a little deviation from the mean may be there.

Not much significance.

Explanation Part h

A little significance, in both Type I and Type II errors since we might overestimate or underestimate the duration of holidays for an average European worker which might not have any big consequence.

A little significance.

Explanation Part i 

A very high significance in Type I error since we might underestimate the percentage of women who might develop breast cancer leading to a shortage of required medical facilities and even endangering lives.

A little significance in Type II error since we might overestimate the percentage of women who might develop breast cancer leading to an increase in the expenditure on medical facilities.

Type I error has a terrible consequence and type II error has little consequence.

Explanation Part j

A high significance, in both Type I and Type II errors a miscalculation in the estimation of the budget of the person who is paying the fee.

A big consequence in both Type I and Type II errors.