Question

Using the statements provided in question one, determine if the statement is a null hypothesis or a research hypothesis

a. A. You are interested in finding out if the average household income of residents in your state is different from the national average household. According to the US Census, for 2011, the national average household income is $50,054.

STATEMENT: The average household income of residents in your state is different than the national average household income.

b. You believe that students in small liberal arts colleges attend more parties per month than students nationwide. It is known that nationally undergraduate students attend as average of 3.2 parties per month. The average number of parties per month will be calculated from a random sample of students from small liberal arts colleges.

STATEMENT: The number of parties that students at a small liberal arts college attend is greater than the national average among undergraduate students.

c.  A sociologist believes that the average income of elderly women is lower that the average income of elderly men

STATEMENT: The average income of elderly women is less than the average income of elderly men.

d. Is there a difference in the amount of study time on-campus and off-campus students devote to their schoolwork during an average week? You prepare a survey to determine the average number of study hours for each group of students.

STATEMENT: The amount of hours students spend studying on campus is the same as the amount of hours spent studying off campus.

e.  Reading scores for a group of third graders enrolled in an accelerated reading program are predicted to be higher than the scores for non-enrolled third graders.

STATEMENT: The reading scores of third graders in an accelerated reading program are higher than non-enrolled third graders.

f. Stress (measured on an ordinal scale) is predicted to be lower for adults who own dogs (or other pets) than for non-pet owners.

STATEMENT: Stress is lower for dog owners than it is for non-pet owners.

Answer 1

The signs goes into null hypothesis are =, <= or >=. The signs goes into alternative hypothesis are <, > or not equal to.

(a)

Here statement says that the average household income of residents in your state is different than the national average household income. That is it says that the average household income of residents in your state is not equal to $50,054.

So it is research hypothesis.

(b)

Given statemet is: The number of parties that students at a small liberal arts college attend is greater than the national average among undergraduate students.

It says that the number of parties that students at a small liberal arts college attend is greater than 3.2.

So it is research hypothesis.

(c)

Given statement: The average income of elderly women is less than the average income of elderly men.

It is research hypothesis.

(d)

Researcher want to know whether there is a difference in the amount of study time on-campus and off-campus students devote to their schoolwork during an average week.

Given statement is : The amount of hours students spend studying on campus is the same as the amount of hours spent studying off campus.

The resercher hypothesis will be "The amount of hours students spend studying on campus is different from the amount of hours spent studying off campus."

Therefore given statement is null hypothesis.

(e)

Given statement : "The reading scores of third graders in an accelerated reading program are higher than non-enrolled third graders."

It is research hypothesis.

(f)

Given statement : "Stress is lower for dog owners than it is for non-pet owners."

It is research hypothesis.