Hypothesis Testing
Student's T-test
Two-Sample T-test
Chi-Squared GOF
Chi-Squared Test for Independence
100
The meaning of the p-value.
What is "the probability that the null hypothesis is true"?
100
The null hypothesis for this situation: The null hypothesis for this situation: A concerned customer thinks that a cereal company is underfilling its boxes. The cereal boxes state that the net weight is 14.2 ounces. The customer collects a sample of 50 boxes and finds that they have a mean weight of 13.9 and a standard deviation of 1.14 and conducts a Student's T-test at a 10% significance level.
What is H0 :mu=14.2 ?
100
The response to the calculator prompt "Pooled: No or Yes" for any two-sample t-test we will conduct in this course.
What is "Yes"?
100
A candy company claims that it's mixed bag of fruit chews is 1/3 grape, 1/3 cherry, and 1/3 evenly split between orange and lime. These are the null and alternative hypotheses to test whether their claim is accurate.
What is...
H0: p1(grape) = 1/3, p2(cherry)= 1/3, p3(orange)= 1/3, p4(lime) = 1/6
H1: At least one of these is not true.
...?
100
This is the formula/method for calculating expected frequencies for a contingency table for a Chi-Squared Test for Independence.
What is ("row total" *"column total")/"total total" ?
200
Types of p-values that cause you to reject the null hypothesis.
What is p ≤ alpha ?
200
The alternative hypothesis for this situation: The null hypothesis for this situation: A concerned customer thinks that a cereal company is underfilling its boxes. The cereal boxes state that the net weight is 14.2 ounces. The customer collects a sample of 50 boxes and finds that they have a mean weight of 13.9 and a standard deviation of 1.14 and conducts a Student's T-test at a 10% significance level.
What is H1 :mu<14.2 ?
200
These are the null and alternative hypotheses for this two-tailed t-test at a 5% significance level.
An administrator conducts a hypothesis test at a 5% significance level to attempt to evaluate the quality of two teachers. A sample of 30 of Mr. Zed's students' test scores has a mean of 4.6 with a standard deviation of 2.9. A sample of 30 of Ms. Abbott's scores has a mean of 5.1 with standard deviation of 3.6.
What is
H0: mu1 = mu2
H1: mu1 ≠ mu2 ?
200
A candy company claims that it's mixed bag of fruit chews is 1/3 grape, 1/3 cherry, and 1/3 evenly split between orange and lime. A sample of 60 chews showed the following frequencies:
Grape - 15
Cherry - 23
Orange - 12
Lime - 10
This is the degrees of freedom.
What is 3?
200
The null hypothesis for a Chi-Squared Test for Independence investigating whether a person's level of education impacts their success in business given the observations recorded in the following table.
What is "H0: Level of education and business success are independent."?
300
The thing we do when we don't reject the null hypothesis. (Hint: the best outcome of an assessment of a teenager cleaning their room)
What is "fail to reject"?
300
The input type used for this test: The null hypothesis for this situation: A concerned customer thinks that a cereal company is underfilling its boxes. The cereal boxes state that the net weight is 14.2 ounces. The customer collects a sample of 50 boxes and finds that they have a mean weight of 13.9 and a standard deviation of 1.14 and conducts a Student's T-test at a 10% significance level.
What is STAT?
300
The p-value and its meaning for this test:
An administrator conducts a hypothesis test at a 5% significance level to attempt to evaluate the quality of two teachers. A sample of 30 of Mr. Zed's students' test scores has a mean of 4.6 with a standard deviation of 2.9. A sample of 30 of Ms. Abbott's scores has a mean of 5.1 with standard deviation of 3.6.
What is "p = 0.556 means there is 55.6% that the two samples come from populations with equal means"?
300
The value of the test statistic for this Chi-Squared Goodness of Fit test:
A candy company claims that it's mixed bag of fruit chews is 1/3 grape, 1/3 cherry, and 1/3 evenly split between orange and lime. A sample of 60 chews showed the following frequencies:
Grape - 15
Cherry - 23
Orange - 12
Lime - 10
What is chi_"calc"^2=2.1 ?
300
The degrees of freedom for a Chi-Squared Test for Independence investigating whether a person's level of education impacts their success in business given the observations recorded in the following table.
What is 9?
400
In addition to the null and alternative hypotheses, this must be stated BEFORE the test is conducted.
What is alpha (significance level)?
400
The p-value for this test: The null hypothesis for this situation: A concerned customer thinks that a cereal company is underfilling its boxes. The cereal boxes state that the net weight is 14.2 ounces. The customer collects a sample of 50 boxes and finds that they have a mean weight of 13.9 and a standard deviation of 1.14 and conducts a Student's T-test at a 10% significance level.
What is 0.0344?
400
This is the conclusion with justification for this test:
An administrator conducts a hypothesis test at a 5% significance level to attempt to evaluate the quality of two teachers. A sample of 30 of Mr. Zed's students' test scores has a mean of 4.6 with a standard deviation of 2.9. A sample of 30 of Ms. Abbott's scores has a mean of 5.1 with standard deviation of 3.6.
What is "Since 0.556 > 0.05, we fail to reject the null hypothesis. There is sufficient evidence to suggest that the two teachers are providing the same quality of education."?
400
This is the conclusion with justification of this Chi-Squared Goodness of Fit test:
A candy company claims that it's mixed bag of fruit chews is 1/3 grape, 1/3 cherry, and 1/3 evenly split between orange and lime. A sample of 60 chews showed the following frequencies:
Grape - 15
Cherry - 23
Orange - 12
Lime - 10
chi_(crit)^2=7.815
What is...
Since 2.1<7.815, we fail to reject H0 and conclude that the company's claim is correct?
400
The p-value of a Chi-Squared Test for Independence at a 1% level of significance investigating whether a person's level of education impacts their success in business given the observations recorded in the following table.
What is p=0.00241?
500
This is reason that p ≤ alpha causes a rejection of the null hypothesis.
What is "a low p-value means that the sample is too unlikely to occur under the conditions of the null hypothesis"?
500
The conclusion for this test: The null hypothesis for this situation: A concerned customer thinks that a cereal company is underfilling its boxes. The cereal boxes state that the net weight is 14.2 ounces. The customer collects a sample of 50 boxes and finds that they have a mean weight of 13.9 and a standard deviation of 1.14 and conducts a Student's T-test at a 10% significance level.
What is "Since 0.0344 < 0.10, we reject the null hypothesis. There is sufficient evidence to conclude that the cereal boxes are being underfilled"?
500
The scores here are the final IB exam results for two sets of students, one set who took a revision course and one set who did not.
Revision course: 32. 39. 31. 35. 40. 33. 34. 33. 34. 35. 39. 33. 32. 35.
No revision course: 28. 31. 30. 23. 33. 31. 36. 36. 38. 35.
These are the null and alternative hypotheses and conclusion with justification of a two sample t-test with a 10% level of significance to determine whether the revision course was effective.
What is...
H0: mu1 = mu2
H1: mu1>mu2P
Since p=0.0508 and 0.508<0.10, we reject H0. So there is sufficient evidence to conclude that the revision course was effective.
...?
500
The meaning of
alpha
What is "the probability of incorrectly rejecting H0"?
500
The conclusion of a Chi-Squared Test for Independence at a 1% level of significance investigating whether a person's level of education impacts their success in business given the observations recorded in the following table.
What is "Since 0.00241 < 0.01, we reject the null hypothesis and have sufficient evidence to conclude that level of education and business success are dependent variables."?