Chi Square
What conditions must be checked for a Chi Square Test
1. Random sample
2. 10% (if needed)
3. Expected counts
When are two events mutually exclusive
When they can't happen at the same time
How do you find if the distribution is approx normal for a linear regression t-test for slope
If the dot plot of the residuals shows no strong skew nor outliers
What condition do you check to make sure the distribution is approx normal
Large counts
What test is used to find a difference in means?
Two sample t test for μ1-μ2
What is the alternative hypothesis for the following
Null hypothesis: There is no association between favorite color and gender in AP Stats Students
There is an association between favorite color and gender in AP Stats Students
What diagram is best used to represent a situation where you need to find probabilities when another event is given
Tree diagram
How do you find the degrees of freedom for a linear regression t-test for slope
n-2
What do you have to do for a two-sample z-test for p1-p2 that you don't have to do for any other inference procedure?
Pooling
What test is used to find mean difference?
Matched pairs t test for μd
How do you find expected counts for Chi Square Test for Independence and Homogeneity
(row total * column total) / table total
What does the overlapping part of a venn diagram represent
The probability of both events happening at the same time
What is the acronym used to check the conditions for a linear regression t test for slope
LINE
Linear
Independence
Approx Normal
Equal SD
When p-hat is unknown, what must we do in order to find the margin of error for a confidence interval?
Conservative estimate (p-hat=0.5)
What conditions are used to determine if the distribution of means is approx normal
CLT, population is approx normal, or dot plot of the data shows no strong skew nor outliers
What is the probability of getting a Chi square value of 6.04 with a degrees of freedom of 5
0.3023
What is the probability two independent events happen at the same time
P(A)= .3
P(B)= .9
P( A and B)= .27
For H0: β=0.6 Ha: β>0.6
And the p-value of the computer output is 0.06, what is the p-value for the significance tests?
0.03
What is the margin of error for a one-sample z-interval for p with a p-hat value of 0.4 and a sample size of 35 at the 95% confidence level?
0.1623
What is the value of the t statistic in a one sample t test for μ if the sample mean is 35, the population mean is 40, and the standard deviation is 2?
t=-2.5
What is the value of the Chi square statistic?
Expected: 5, 10, 7, 8
Observed: 6, 12, 5, 9
5 matched with 6, 10 with 12, 7 with 5, 8 with 9
0.6010
Assuming it is a binomial distribution, what is the probability that John spins a spinner on blue 3 or less times out of 8 spins when the probability of spinning blue is 0.25?
0.8862
If the confidence interval for slope is (-0.2, 0.2), and a researcher claims the slope is positive, what conclusion should be made?
The researcher's claim is not supported by the interval because the interval contains both negative and positive values.
A researcher believes 0.33 of Americans own a dog. You think the true proportion is greater than that. A sample of 50 randomly selected Americans shows that 19 own a dog. Assume all conditions are met. What conclusion should be made?
Fail to reject H0. The p-value of 0.2261 is greater than the significance level of 0.05, so we do not have convincing evidence to suggest the true population proportion of Americans who own a dog is greater than 0.33.
When is the only time you can do z calculations with means
When you know the standard deviation of the population