For each of the situations, state whether the proper test to use is a chi - squa
ID: 3223343 • Letter: F
Question
For each of the situations, state whether the proper test to use is a chi - square good -of - fit test, a chi -square test of homogeneity, a chi -square test of independence, or some other statistical test.
1)A brokerage firm wants to see whether the type of account a customer has (Silver, Gold, or Platinum) affects the type of trades that customer makes (in person, by phone, or on the internet). It collects a random sample of trades made for its customers over the past year and performs a test.
A.) The brokerage firm should use a chi - square test of homogeneity because it wants to see if the distribution of one variable is the same across two different groups.
B.) The brokerage firm should use a chi -square good - of - fit test because it has a distribution for one variable and wants to see if it matches a known districution.
C.) The brokerage firm should use a chi -square test of independence because it has one sample and two variables and wants to see if the variables are independent.
D.) The brokerage firm should use some other statistical test because the counts are not independent of each other.
E.) The brokerage firm should use some other statistical test becasue at least one of Account Type and Trade Type is quantitative.
2)The brokerage firm in question 1 also wants to know if the type of account affects the size of the account (in dollars). It performs a test to see if the mean size of the account is the same for the three account types.
A.) The brokerage firm should use a chi - square goodness - of - fit test because it has a distribution for one variable and wants to see if it matches a known distribution.
B.) The brokerage firm should use some other statistical test because at least one of Account Type and Account Size is quantitative.
C.) The brokerage firm should use some other statistical test because the account are not independent of each other.
D.) The brokerage firm should use a chi - square test of homogeneity because it wants to see if the distribution of one variable is the same across two different groups.
E.) The brokerage firm should use a chi - square test of independence because it has one sample and two variables and wants to see if the variables are independent.
3)The academic research office at a large community college wants to see whether the distribution of courses chosen (Humanities, Social Science, or Science) is different for its residential and nonresidential students. It assembles last semester's data and performs a test.
A.) The research office should use some other statistical test because at least one of Residential Status and Course Type is quantitative.
B.) The research office should use some other statistical test because the counts are not independent of each other.
C.) The research office should use a chi -square goodness - of - fit test becaue it has a distribution for one variable and wants to see if it matches a known distribution.
D.) THe research office should use a chi - square test of independence because it has one sample and two variables and wants to see if the variables are independent.
E.) The research office should us a chi - square test of homogeneity because it wants to see if the distribution of one variable is the same across two different groups.
Explanation / Answer
1. I agree with Cse because it gives the association between the type of accounts and types of trade
2. Here we have to use anova one way classification to test the mean size of the account for the three types of accounts
3. I agree with day since we need to find whether there is a good relation among the two considered so we can use child square for independence of attributes
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