In: Statistics and Probability
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 onmathematics examsmathematics exams? |
ii. nbspii. |
Is
the level of
hygienehygiene for residents of a particular city different from the level ofhygienehygiene 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.
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.