explain how the​ chi-square independence test and the​ chi-square goodness-of-fit test are similar. How are they​ different?

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Part 1
For each​ characteristic, determine if it applies to the​ chi-square independence​ test, the​ chi-square goodness-of-fit​ test, or both.
Has d.f.​(r​1)(c​1):

Chi-square independence test
Chi-square goodness-of-fit test
Both
Part 2
Requires the data be obtained from a random​ sample:

Chi-square independence test
Chi-square goodness-of-fit test
Both
Part 3
Has d.​1:

Chi-square independence test
Chi-square goodness-of-fit test
Both
Part 4
Uses this formula to find the expected​ frequency: ​:

Chi-square independence test
Chi-square goodness-of-fit test
Both
Part 5
Uses the following formula to find the expected​ frequency:

Chi-square independence test
Chi-square goodness-of-fit test
Both

Part 6
Requires that each expected frequency is at least​ 5:

Chi-square independence test
Chi-square goodness-of-fit test
Both
Part 7
Used to test if two variables are​ independent:

Chi-square independence test
Chi-square goodness-of-fit test
Both
Part 8
Test if a frequency distribution fits an expected​ distribution:

Chi-square independence test
Chi-square goodness-of-fit test
Both

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