Question
In: Statistics and Probability
I need to set up and run a goodness of fit test. I am trying to...
I need to set up and run a goodness of fit test. I am trying to learn more about the type of novels that people prefer to read.
Please include null and alternative hypotheses. Show all work and please explain if you use any excel tests.
Total number of responses is 30.
Romance: 18
Sci - Fi: 7
Fiction: 5
Solutions
Expert Solution
Here the observation table is
| Categories | Observed(Oi) | Expected(Ei) | (Oi-Ei)2/Ei |
| Romance | 18 | 30*1/3=10 | (18-10)2/10 = 6.4 |
| Sci-Fi | 7 | 30*1/3=10 | (7-10)2/10 = 0.9 |
| Fiction | 5 | 30*1/3=10 | (5-10)2/10 = 2.5 |
| Sum = | 30 | 30 | 9.8 |
(1) Null and Alternative Hypotheses
The following null and alternative hypotheses need to be tested:
H0: The types of novels follow discrete uniform distribution.
v/s
Ha: The types of novels does not follow discrete uniform distribution.
This corresponds to a Chi-Square test for Goodness of Fit.
(2) Rejection Region
Based on the information provided, the significance level is
α=0.05, the number of degrees of freedom is df = 3 - 1 = 2, so then
the rejection region for this test is 
(3) Test Statistics
The Chi-Squared statistic is computed as follows:
(4) Decision about the null hypothesis
Since it is observed that 
, it is then concluded that the null hypothesis is
rejected.
(5) Conclusion
There is not enough evidence to claim that the types of novels follow discrete uniform distribution at α=0.05 significance level.
orchestra answered 2 years agoRelated Solutions
Given a data set with 100 observations, a goodness of fit test to see if a...
Given a data set with 100 observations, a goodness of fit test
to see if a sample follows a uniform distribution or a poisson
distribution or a normal distribution will have the same number of
degrees of freedom. true or false
and
When a contingency table of expected frequencies is constructed,
the null hypothesis is that all of the cells in the table are
equally likely. true or false
thank you :)
Is it possible to run Levene's test with multiple comparisons in minitab? I am trying to...
Is it possible to run Levene's test with multiple comparisons in
minitab? I am trying to run equal variances, the levene's test, and
minitab somehow doesn't like the data. I already made 3 columns in
minitab sheet
prompt:
A Datamore Company designs applications software for a number of
large firms. A study is conducted to assess the satisfaction of
these firms with the supplied software. Datamore decides to
determine if the type of industry [Human Resources, Information
Technology, Financial, and...
I am trying to find an appropriate statistical test to run for a research study using...
I am trying to find an
appropriate statistical test to run for a research study using
someone else's gathered data (so that no IRB process is needed). In
their data they present:
Likelihood of Falling
Asleep:
Never 17
Seldom 22
Moderate 15
High 12
Use of napping during
duty:
Never 27
Rarely 19
Sometimes 16
Often 4
Both of these seem to
be independent variables, but is there a way to show a relationship
(or lack thereof) without a dependent...
I am trying to find an appropriate statistical test to run for a research study using...
I am trying to find an
appropriate statistical test to run for a research study using
someone else's gathered data (so that no IRB process is needed). In
their data they present:
Likelihood of Falling
Asleep:
Never 17
Seldom 22
Moderate 15
High 12
Use of napping during
duty:
Never 27
Rarely 19
Sometimes 16
Often 4
To simplify I think
that it would probably be beneficial to group these as:
Likelihood of Falling
Asleep
Never: 17
Yes: 49
Use...
Test the following hypotheses by using the χ2 goodness of fit test.
You may need to use the appropriate technology to answer this
question.
Test the following hypotheses by using the
χ2
goodness of fit test.
H0:
pA = 0.40,
pB = 0.40, and
pC = 0.20
Ha:
The
population proportions are not pA =
0.40, pB = 0.40, and
pC = 0.20.
A sample of size 200 yielded 60 in category A, 120 in category
B, and 20 in category C. Use α = 0.01 and test to see
whether the...
Compare the Goodness of Fit Test and the Test for Independence in terms of the number...
Compare the Goodness of Fit Test and the Test for
Independence in terms of the number of variables and levels of
those that can be compared. In what ways are they similar or
different? (3 points)
Problem Set 1: Chi Square Test of Goodness of Fit Research Scenario: A political psychologist is...
Problem Set 1: Chi Square Test of Goodness of
Fit
Research Scenario: A political psychologist is
curious about the effects of a town hall meeting on people’s
intentions to support a state proposition that would legalize
gambling. He interviews people as they leave and asks them whether
their opinion about the proposition has changed as a result of the
meeting. He records these frequencies in the table below.
Using this table, enter the data into a new SPSS data
file...
Problem Set 1: Chi Square Test of Goodness of Fit Research Scenario: A political psychologist is...
Problem Set 1: Chi Square Test of Goodness of
Fit
Research Scenario: A political psychologist is
curious about the effects of a town hall meeting on people’s
intentions to support a state proposition that would legalize
gambling. He interviews people as they leave and asks them whether
their opinion about the proposition has changed as a result of the
meeting. He records these frequencies in the table below.
Using this table, enter the data into a new SPSS data
file...
Question 1 The Goodness of Fit test and the Test of Independence are two forms of...
Question 1
The Goodness of Fit test and the Test of Independence are two
forms of which of the following test? (2 points)
Regression analysis
Correlation analysis
Chi-square analysis
Independent samples t-test
Related samples t-test
We can make cause-and-effect statements when: (2
points)
We run correlations to see how two variables are related to one
another
We use experimental manipulations (i.e., through the
manipulation of the independent variable)
What type of question do chi-squares answer? (2
points)
Can we predict...
Problem Set 1: Chi Square Test of Goodness of Fit Research Scenario: A school social worker...
Problem Set 1: Chi Square Test of Goodness of
Fit
Research Scenario: A school social worker at a
middle school wants to examine whether there is a difference in the
number of children who have experienced bullying in different
grades (6th – 8th). Assume the total number
of children in each grade is about equal. He administers a survey
on which students self-report whether or not they have been
bullied. He is only interested in the number of “yes” responses...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Question #1 C4H10O with a butanol combustion cycle (formation enthalpy-332,000 kJ / kmol) 25 per cent...
- Suppose a survey revealed that 19% of 494 respondents said they had in the past sold...
- Topic: Choose a company which are you are starting, and a main product or service that...
- 4. Why did the United States and the Soviet Union find themselves in a “Cold War”...
- The Facts: Ann and Bill decided to start a coffee shop. They agreed Bill would provide...
- MARGI sells different types of wine. Customers place orders to the most popular “Summer Wine” at...
- A firm's bonds have a maturity of 8 years with a $1,000 face value, have an...
ADVERTISEMENT