Question

In: Statistics and Probability

For each of the​ following, (a) say which two populations are being​ compared, (b) state the...

For each of the​ following, (a) say which two populations are being​ compared, (b) state the research​ hypothesis, (c) state the null​ hypothesis, and​ (d) say whether the study should use a​ one-tailed or​ two-tailed test and why.

i. nbspi.

Do children whose parents

teachteach

mathematicsmathematics

score higher than children in general on

mathematics examsmathematics exams​?

ii. nbspii.

Is the level of

hygienehygiene

for residents of a particular city different from the level of

hygienehygiene

for people in the​ region?

iii. nbspiii.

Do people who have experienced

a hurricanea hurricane

have more or less​ self-confidence than the general​ population?

i.​ (a) Select the two populations that are being compared.

A.

Children who score lower on mathematics examsmathematics exams

B.

Children in general

C.

Children who score higher on mathematics examsmathematics exams

D.

Children whose parents

teachteach

mathematicsmathematics

​(b) What is the research​ hypothesis?

A.

Children whose parents

teachteach

mathematicsmathematics

score the same as or lower than children in general on

mathematics examsmathematics exams.

B.

Children whose parents

teachteach

mathematicsmathematics

score higher than children in general on

mathematics examsmathematics exams.

C.

Children who score higher on

mathematics examsmathematics exams

have parents who

teachteach

mathematicsmathematics.

D.

Children whose parents

teachteach

mathematicsmathematics

score lower than children in general on

mathematics examsmathematics exams.

​(c) What is the null​ hypothesis?

A.

Children who score higher on

mathematics examsmathematics exams

have parents who

teachteach

mathematicsmathematics.

B.

Children whose parents

teachteach

mathematicsmathematics

score higher than children in general on

mathematics examsmathematics exams.

C.

Children whose parents

teachteach

mathematicsmathematics

score the same as or lower than children in general on

mathematics examsmathematics exams.

D.

Children whose parents

teachteach

mathematicsmathematics

score lower than children in general on

mathematics examsmathematics exams.

​(d) Should a​ one-tailed or​ two-tailed test be used and​ why?

A.

A​ two-tailed test should be used because the researcher is only interested in whether the children whose parents

teachteach

mathematicsmathematics

score higher.

B.

A​ one-tailed test should be used because the researcher is only interested in whether the children whose parents

teachteach

mathematicsmathematics

score lower.

C.

A​ two-tailed test should be used because the researcher is interested in whether the children whose parents

teachteach

mathematicsmathematics

score differently.

D.

A​ one-tailed test should be used because the researcher is only interested in whether the children whose parents

teachteach

mathematicsmathematics

score higher.

ii.​ (a) Select the two populations that are being compared.

A.

Residents of a particular city with a low level of hygienehygiene

B.

People in the region

C.

Residents of a particular city with a high level of hygienehygiene

D.

Residents of a particular city

​(b) What is the research​ hypothesis?

A.

The level of

hygienehygiene

for residents of a particular city is lower than the level of

hygienehygiene

for people in the region.

B.

The level of

hygienehygiene

for residents of a particular city is the same as the level of

hygienehygiene

for people in the region.

C.

The level of

hygienehygiene

for residents of a particular city is higher than the level of

hygienehygiene

for people in the region.

D.

The level of

hygienehygiene

for residents of a particular city is different from the level of

hygienehygiene

for people in the region.

​(c) What is the null​ hypothesis?

A.

The level of

hygienehygiene

for residents of a particular city is the same as the level of

hygienehygiene

for people in the region.

B.

The level of

hygienehygiene

for residents of a particular city is different from the level of

hygienehygiene

for people in the region.

C.

The level of

hygienehygiene

for residents of a particular city is lower than the level of

hygienehygiene

for people in the region.

D.

The level of

hygienehygiene

for residents of a particular city is higher than the level of

hygienehygiene

for people in the region.

​(d) Should a​ one-tailed or​ two-tailed test be used and​ why?

A.

A​ two-tailed test should be used because the researcher is interested in whether the level of

hygienehygiene

for residents of a particular city differs from the level of

hygienehygiene

for people in the region.

B.

A​ one-tailed test should be used because the researcher is only interested in whether the level of

hygienehygiene

for residents of a particular city differs from the level of

hygienehygiene

for people in the region.

C.

A​ one-tailed test should be used because the researcher is only interested in whether the level of

hygienehygiene

for residents of a particular city is higher than the level of

hygienehygiene

for people in the region.

iii.​ (a) Select the two populations that are being compared.

A.

The general population

B.

People who have experienced a hurricanea hurricane

C.

People who have less​ self-confidence

D.

People who have more​ self-confidence

​(b) What is the research​ hypothesis?

A.

People who have experienced

a hurricanea hurricane

have the same amount of​ self-confidence as the general population.

B.

People who have experienced

a hurricanea hurricane

have more​ self-confidence than the general population.

C.

People who have experienced

a hurricanea hurricane

have less​ self-confidence than the general population.

D.

People who have experienced

a hurricanea hurricane

have more or less​ self-confidence than the general population.

​(c) What is the null​ hypothesis?

A.

People who have experienced

a hurricanea hurricane

have the same amount of​ self-confidence as the general population.

B.

People who have experienced

a hurricanea hurricane

have more​ self-confidence than the general population.

C.

People who have experienced

a hurricanea hurricane

have more or less​ self-confidence than the general population.

D.

People who have experienced

a hurricanea hurricane

have less​ self-confidence than the general population.

​(d) Should a​ one-tailed or​ two-tailed test be used and​ why?

A.

A​ one-tailed test should be used because the researcher is only interested in whether people who have experienced

a hurricanea hurricane

have more or less​ self-confidence than the general population.

B.

A​ one-tailed test should be used because the researcher is only interested in whether people who have experienced

a hurricanea hurricane

have less​ self-confidence than the general population.

C.

A​ two-tailed test should be used because the researcher is interested in whether people who have experienced

a hurricanea hurricane

have more or less​ self-confidence than the general population.

Solutions

Expert Solution

i.​ (a) Select the two populations that are being compared.

B. Children in general

D. Children whose parents teach mathematics.

(b) What is the research​ hypothesis?

B.Children whose parents teach mathematics score higher than children in general on mathematics exams.

(c) What is the null​ hypothesis?

C. Children whose parents teach mathematics score the same as or lower than children in general on

mathematics exams.

(d) Should a​ one-tailed or​ two-tailed test be used and​ why?

D. A​ one-tailed test should be used because the researcher is only interested in whether the children whose parents

teach mathematics score higher.

ii.​ (a) Select the two populations that are being compared.

B. People in the region

D. Residents of a particular city

(b) What is the research​ hypothesis?

D. The level of hygiene for residents of a particular city is different from the level of hygiene for people in the region.

(c) What is the null​ hypothesis?

A. The level of hygiene for residents of a particular city is the same as the level of hygiene for people in the region.

(d) Should a​ one-tailed or​ two-tailed test be used and​ why?

A. A​ two-tailed test should be used because the researcher is interested in whether the level of hygiene for residents of a particular city differs from the level of hygiene for people in the region.

iii.​ (a) Select the two populations that are being compared.

A. The general population

B. People who have experienced a hurricane

​(b) What is the research​ hypothesis?

D. People who have experienced a hurricane have more or less​ self-confidence than the general population.

(c) What is the null​ hypothesis?

A. People who have experienced a hurricane have the same amount of​ self-confidence as the general population.

​(d) Should a​ one-tailed or​ two-tailed test be used and​ why?

C. A​ two-tailed test should be used because the researcher is interested in whether people who have experienced

a hurricane have more or less​ self-confidence than the general population.


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