Question

Each of the following statements corresponds (somewhat naturally) to a statistical hypothesis. For each statement, decide

If it involves one or more populations; one or more variables. [No answer needed.]

The population(s) and the variable(s) involved.

The form of the test.

Single parameter

Two parameter or multiple parameter—always the same parameter for multiple populations (or possibly multiple variables)

Single distribution

Two distributions or multiple distributions—either two different variables, or the same variable for multiple populations

Independence

Note with measures of association will have one parameter (g, r, b) with a pair of populations

If the hypothesis is on one or more parameters, give

The parameter(s) involved.

The Null and the Alternate hypotheses. or

Whether the hypothesis test is one or two-sided. or

If the hypothesis is on one or more distributions, give

The Null and the Alternate hypotheses.

Why don’t we need to specify whether one-sided or two-sided?

1.27% of all Republican voters intend to vote for Jen Flores in the N.J. Senate primary.

Populations: Republicans that did vote and republicans that didn’t vote

2.In an early evaluation of math ability, the scores for boys are more widely spread than those for girls

3.The distribution of MATH 1203 grades are the same for Nursing majors as for social science majors.

4.There is a positive association between number of tutoring hours used and improvement between the first and second tests.

Answer 1

1. 1.27% of all Republican voters intend to vote for Jen Flores in the N.J. Senate primary.

Answer:

Null and Alternative hypothesis:

Ho:p = 0.0127

Ha: p 0.0127

It is two-tailed test.

2. In an early evaluation of math ability, the scores for boys are more widely spread than those for girls

Answer:

Null and Alternative hypothesis:

It is right-tailed test.

3. The distribution of MATH 1203 grades are the same for Nursing majors as for social science majors.

Null and Alternative hypothesis:

It is two-tailed test.

4.There is a positive association between number of tutoring hours used and improvement between the first and second tests.

Null and Alternative hypothesis:

(There is no correlation)

(There is positive correlation)

It is right-tailed test.