How do you find expected cell frequencies for a χ2 test for Homogeneity?

From running the χ2 test on calc, (Row Tot)(Col Tot) ÷ (Grand Tot)

For a 2-sample t-test, which of the following must be true?

Groups are independent from each other

In which of these scenarios is a discussion of the sample size not necessary for a t-test?

When you know the population is normally distributed

In which situation is a check of conditions necessary?

Conducting a hypothesis test, Creating a confidence interval

The 10% condition is meant as a check for what often violated assumption?

Each member of the sample can be considered independent

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AP Statistics Conditions Quiz

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A useful review quiz for takers of the AP Statistics exam #apstatistics #apstats

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Questions 11

Answers

1
How do you find expected cell frequencies for a χ² test for Homogeneity?
From running the χ2 test on calc
np1, np2, ...
Cell Value ÷ Grand Total
(Row Tot)(Col Tot) ÷ (Grand Tot)
2
For a 2-sample t-test, which of the following must be true?
Populations were normally distributed
Both groups' sample sizes > 40
Data are paired by subject
Groups are independent from each other
3
In which of these scenarios is a discussion of the sample size not necessary for a t-test?
When the sampling distribution of means is approx. normal
When you know the population is normally distributed
When you see the sample distribution is skewed
When you see the sample distribution is approx. normal
4
The "independence assumption" for a 2-sample test refers to which of the following?
Data were selected independently
Statistics vary independently
Data vary independently
Groups vary independently
5
Which of these is not a required condition to check for a regression slope t-interval?
Scatterplot is linear
Residuals are normally distributed
Residuals show equal variance
Sample size > 40
6
What condition satisfies the "Large Enough Sample" assumption for a z-test?
n < 10N
All exp > 5
n > 40
np > 10; nq > 10
7
Which of these is a condition that should be checked for *any* test?
Success/Failure Condition
Random Condition
Expected Cell Frequency Condition
10% Condition
8
In which of these scenarios is a check for normality of the Sampling Distribution Model needed?
2-proportion z-interval
1-sample t-test
All of these
1-proportion z-test
9
In which situation is a check of conditions necessary?
Conducting a hypothesis test
Creating a confidence interval
Calculating a probability with the normal model
Calculating a probability with the t-distribution
10
Which of these conditions is necessary for a 1 proportion z-interval?
nppool > 10; nqpool > 10
np > 10; nq > 10
np-hat > 10; nq-hat > 10
n > 40
11
The 10% condition is meant as a check for what often violated assumption?
Sample was randomly selected
Sample is large enough to apply normal model to SDM
Each member of the sample can be considered independent
Distribution of data in sample is approximately normal

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