kenman

Please make sure to follow the 6 step hypothesis testing format included below. I need this done in 10 hours from now. Please make sure to show ALL work and ALL steps in detail.
SIX STEPS FOR HYPOTHESIS TESTING

1. HYPOTHESES
State in order:
Research Hypothesis
Null Hypothesis
Alternate Hypothesis
Recall the difference between a general research hypthesis which will not be overturned by a single investigation and a simple null and alternate hypothesis.

2. ASSUMPTIONS
include:
1. measurement level of data,
2. distributions underlying the data,
3. knowledge or lack of about population characteristics
4. sample size and method,
5. sample characteristics necessary for applying the test statistic,
6. level of significance for testing

3. TEST STATISTIC (or Confidence Interval Structure)
1. structure to be used to test significance levels or set of confidence intervals (be sure to include the equations & notation)
2. special conditions to be met by statistic

4. REJECTION REGION (or Probability Statement)
Expected measure of the test statistic as generated from tables or critical valve for a confidence interval.
Yes, before you start the calculations you should inform the reader as to how the test will be used to reject of fail to reject the null hypoethesis and the critical value for making the determination.

5. CALCULATIONS (Annotated Spreadsheet)
Actual test statistic measure or confidence interval generated including specification of all additional equations used plus notation. May also include sample calculations.
Solving any problem is as much an art as a skill. From the skill side you should break the problem down into small parts or modules, these you will then want to continually check using sample calculations, your hand calculator, and other methods to make certain that no errors occur in the solution. Remeber, in the working world no one will check your work unless a tragic error occurs (then of course it’s too late, so instead you must develop skills for continually critiquing whatever you are doing). Breaking problems into smaller parts not only helps in error checking, but also enables you to understand how the data is being manipulated and makes the work much less intimidating. This can provide for further critiquing of the method selected and data set being used. Finally, sample calculations help to insure that calculations are being properly preformed and again provides additional insight as to the manner in which the statistic manipulates the data.
Problem solving is also an art. There are very elegant ways of laying out a task which even to the most uninformed reader makes it look simple! And in fact any problem broken down into its constituent parts is quite simple. Second, careful constrution of a spreadsheet enables it to solve more than just the problem at hand. Simple adjustments to the number of rows enables the number of cases to rapidly be altered and an additional problem solved. Finally, as always consider your audiance. Have you provided the clarity that enables others (sometimes experts, sometimes not) to rapidly understand what is being preformed and how. How useful will this work be to you in six months? Will you still understand it? Finally, would this look good in a portfolio? Remeber, annotations are very important.
6. CONCLUSIONS
Statement of results or the acceptance, or rejection of the null hypothesis & future direction of research.
Should include summary of results in tabular, graphical, or mapped form, plus a discussion of where this research has led you.
An answer without proper presentation and discussion is of limited use. All too often textbooks concentrate on right numbers not full presentation of results and thoughtful discussion of where to go next. Again, know your audiance. What helps them grasp the implications of all the difficult work that you have preformed? Ronald Reagan never claimed to be a genius, but he certainly was a master at communicating what he did know. On the other hand, few if any of us will be reading any treaties by Albert Einstien any time soon.

MAT 216 GHA 2

This GHA covers material from OCR Chapters 10 and 12. Chapter 10 introduced three hypothesis tests: the Pooled t-test, the Non-pooled t-test and the Paired t-test. Chapter 12 introduced two hypothesis tests: the Chi-Square Goodness-of-Fit test and the Chi Square Test for Independence. For each of the three problems below, perform the appropriate test by hand and support your answer with Excel. Scan and submit work. Be neat! Each question is worth 33 points. Good luck.

1. Researchers conducted a survey of parents of 66 kindergarten children. The parents were asked whether they played games with their children. The parents were divided into two groups: working class and middle class. The researchers wanted to know if there was an association between the frequency with which parents played games with their children and their social class. The following data were obtained:

Frequency of Games

Never

Sometimes

Often

Total

Middle Class

2

8

22

32

Working Class

11

10

13

34

Total

13

18

35

66

a) Perform a hypothesis test using the six-step critical value approach. Show all work. Be sure to include your interpretation of results in the final step. Test using α = .05.

b) Attach an Excel printout that supports your hypothesis conclusion.

1. A market research firm wants to determine whether major sports events or first run movies attract more viewers in the prime-time hours. It selects 28 prime-time evenings; of these, 13 have sports events and the remaining 15 have first-run movies. The number of viewers for each program is recorded. If μ1 is the mean number of sports viewers per evening of sports programming and μ2 is the mean number of movie viewers per evening of movie programming, determine if a difference between these population means exists. Assume the population variances are equal. Test using α = .05. (Note: 1 = 6.8 million viewers; s1 = 1.8 million viewers; 2 = 5.3 million viewers; s2 = 1.6 million viewers.

1. Perform a hypothesis test using the six-step method. Show all work. Be sure to include your interpretation of results in the final step.

1. Attach an Excel printout that supports your hypothesis conclusion.

1. A new method of teaching reading to elementary students is being compared to the current standard method. Eight pairs of students with similar reading IQ’s are found and one member of each pair is randomly assigned to the new method while the other is assigned to the standard method. Do the data in the table below support the hypothesis that the population mean test score for students taught by the new method (μ1 ) is greater than the mean reading test score for those taught by the standard method (μ2 ). Test using α = .05.

READING TEST SCORES FOR EIGHT PAIRS OF STUDENTS

PAIR NEW METHOD STANDARD SCORE

1 77 72

2 74 68

3 82 76

4 73 68

5 87 84

6 69 68

7 66 81

8 80 76

1. Perform a hypothesis test using the six-step method. Show all work. Be sure to include your interpretation of results in the final step.

1. Attach an Excel printout that supports your hypothesis conclusion.

SIX STEPS FOR HYPOTHESIS TESTING

 

 

1. HYPOTHESES

State in order:

Research Hypothesis

Null Hypothesis

Alternate Hypothesis

Recall the difference between a general research
hypthesis which will not be overturned by a single
investigation and a simple null and alternate hypothesis.

 

 2. ASSUMPTIONS

include:

1. measurement level of data,

2. distributions underlying the data,

3. knowledge or lack of about population
characteristics

4. sample size and method,

5. sample characteristics necessary for applying the
test statistic,

6. level of significance for testing

 

 

3. TEST STATISTIC (or Confidence Interval
Structure)

1. structure to be used to test significance levels or
set of confidence intervals (be sure to include the equations
& notation)

2. special conditions to be met by statistic

 

4. REJECTION REGION (or Probability
Statement)

Expected measure of the test statistic as generated
from tables or critical valve for a confidence interval.

Yes, before you start the calculations you should inform
the reader as to how the test will be used to reject of fail
to reject the null hypoethesis and the critical value for
making the determination.

 

5. CALCULATIONS (Annotated Spreadsheet)

Actual test statistic measure or confidence interval
generated including specification of all additional equations
used plus notation. May also include sample calculations.

Solving any problem is as much an art as a skill. From the
skill side you should break the problem down into small parts or
modules, these you will then want to continually check using
sample calculations, your hand calculator, and other methods to
make certain that no errors occur in the solution. Remeber, in
the working world no one will check your work unless a tragic
error occurs (then of course it’s too late, so instead you must
develop skills for continually critiquing whatever you are
doing). Breaking problems into smaller parts not only helps in
error checking, but also enables you to understand how the data
is being manipulated and makes the work much less intimidating.
This can provide for further critiquing of the method selected
and data set being used. Finally, sample calculations help to
insure that calculations are being properly preformed and again
provides additional insight as to the manner in which the
statistic manipulates the data.

Problem solving is also an art. There are very elegant ways of
laying out a task which even to the most uninformed reader makes
it look simple! And in fact any problem broken down into its
constituent parts is quite simple. Second, careful constrution of
a spreadsheet enables it to solve more than just the problem at
hand. Simple adjustments to the number of rows enables the number
of cases to rapidly be altered and an additional problem solved.
Finally, as always consider your audiance. Have you provided the
clarity that enables others (sometimes experts, sometimes not) to
rapidly understand what is being preformed and how. How useful
will this work be to you in six months? Will you still understand
it? Finally, would this look good in a portfolio? Remeber,
annotations are very important.

6. CONCLUSIONS

Statement of results or the acceptance, or rejection of the
null hypothesis & future direction of research.

Should include summary of results in tabular, graphical, or
mapped form, plus a discussion of where this research has led
you.

An answer without proper presentation and discussion is of
limited use. All too often textbooks concentrate on right numbers
not full presentation of results and thoughtful discussion of
where to go next. Again, know your audiance. What helps them
grasp the implications of all the difficult work that you have
preformed? Ronald Reagan never claimed to be a genius, but he
certainly was a master at communicating what he did know. On the
other hand, few if any of us will be reading any treaties by
Albert Einstien any time soon.