Explain why a chi-square goodness-of-fit test, a chi-square

dayncNonow04r 2022-04-02 Answered
Explain why a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test is always right tailed.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Mikaela Winters
Answered 2022-04-03 Author has 14 answers
If the difference between observed and expected frequencies is small, then the values of the test statistics near zero.
If the difference between expected and observed frequencies becomes large then value of the chi-square test statistics is rejected.
Thus, the chi-square goodness of fit test, a chi-square independent test or a chi-square homogeneity test is always right tailed.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2022-03-01
A random sample of 500 people were classified by their ages into 3 age-groups: 29 years and younger, 30 to 64 years, and 65 years and older. Each person from the sample was surveyed about which of 4 major brands of cell phone they used. Their responses were compiled and displayed in a 3-by-4 contingency table. A researcher will use the data to investigate whether there is an association between cell phone brand and age- group. Which of the following is the appropriate test for the investigation?
a. A one-sample t-test for a population mean
b. A two-sample t-test for a difference between means
c. A chi-square goodness-of-fit test
d. A chi-square test of homogeneity
e. A chi-square test of independence
asked 2020-12-05
Compare the chi-square p-value and Fisher's exact test p-value and determine which is more accurate.
asked 2022-04-04
Egyptian fruit bats in the wild commonly eat loquats, figs and wild dates. Aresearcher wanted to see whether Egyptian fruit bats showed any preference amongthese three types of fruit. To test that, the researcher collected a sample of 60 fruit bats.Each bat was given an opportunity to select one of the three types of fruit, and its choicewas recorded. The following frequencies were observed:
 Loquats  Figs  Wild dates 122523
a. What type of test should be used to analyze these data?
b. conduct the appropriate test
asked 2022-04-06
How to interpret the result according to the table below?
Chi-square Tests Value  df  Asymptotic Significance (2-sided)  Pearson Chi-Square 2.034 Likelihood Ratio 2.033 Linear-by-Linear Association 1.380 N of Valid Cases  
a) Since 0.034<0.05, the Ho hypothesis is rejected
b) Since 0.033<0.05, the Ho hypothesis is rejected
c) Since 0.034<0.5, the Ho hypothesis is rejected
d) Since 0.380>0.05, the Ho hypothesis is accepted
e) Since 0.033<0.5, the Ho hypothesis is rejected
asked 2020-12-29
For this study, why we would want to use Chi-Squared?
1.A study investigating the effects of second-hand smoke in working environments asked the following question: “How often do you experience second-hand smoke in a work environment/function? Never, Occasionally, Fairly Often, Very Often, Almost Always.” The question was asked of managers and employees to determine whether there was an association between position and the amount of second-hand smoke exposure.
asked 2022-04-21
Is age group related to the device people prefer to use to watch television? A research firm sought to answer this question by surveying a random sample of 260 U.S. adults age 18 and over. The results are shown below.
DeviceTelevisionComputerMobile device182419612Age Group25342373935543482855+33813
Which of the following tests should be used?
Either (a) or (c).
A chi-square goodness of fit test.
A z-test for the difference of two proportions.
A chi-square test for homogeneity.
A chi-square test for independence.
asked 2022-04-21
Observed and Expected counts are given for a chi-square test for association, with the Expected counts in parentheses. Calculate the chi-square statistic for this test.
 A  B  C 133(40.4)34(31.6)33(28)222(40.4)51(31.6)27(28)3147(121.2)73(94.8)80(84)
Round your answer to three decimal places.

New questions

I recently have this question:
I have a bag of toys. 10% of the toys are balls. 10% of the toys are blue.
If I draw one toy at random, what're the odds I'll draw a blue ball?
One person provided an answer immediately and others suggested that more details were required before an answer could even be considered. But, there was a reason I asked this question the way that I did.
I was thinking about probabilities and I was coming up with a way to ask a more complicated question on math.stackexchange.com. I needed a basic example so I came up with the toys problem I posted here.
I wanted to run it by a friend of mine and I started by asking the above question the same way. When I thought of the problem, it seemed very clear to me that the question was "what is P ( b l u e b a l l )." I thought the calculation was generally accepted to be
P ( b l u e b a l l ) = P ( b l u e ) P ( b a l l )
When I asked my friend, he said, "it's impossible to know without more information." I was baffled because I thought this is what one would call "a priori probability."
I remember taking statistics tests in high school with questions like "if you roll two dice, what're the odds of rolling a 7," "what is the probability of flipping a coin 3 times and getting three heads," or "if you discard one card from the top of the deck, what is the probability that the next card is an ace?"
Then, I met math.stackexchange.com and found that people tend to talk about "fair dice," "fair coins," and "standard decks." I always thought that was pedantic so I tested my theory with the question above and it appears you really need to specify that "the toys are randomly painted blue."
It's clear now that I don't know how to ask a question about probability.
Why do you need to specify that a coin is fair?
Why would a problem like this be "unsolvable?"
If this isn't an example of a priori probability, can you give one or explain why?
Why doesn't the Principle of Indifference allow you to assume that the toys were randomly painted blue?
Why is it that on math tests, you don't have to specify that the coin is fair or ideal but in real life you do?
Why doesn't anybody at the craps table ask, "are these dice fair?"
If this were a casino game that paid out 100 to 1, would you play?
This comment has continued being relevant so I'll put it in the post:
Here's a probability question I found online on a math education site: "A city survey found that 47% of teenagers have a part time job. The same survey found that 78% plan to attend college. If a teenager is chosen at random, what is the probability that the teenager has a part time job and plans to attend college?" If that was on your test, would you answer "none of the above" because you know the coincident rate between part time job holders and kids with college aspirations is probably not negligible or would you answer, "about 37%?"