Errors and Power
The significance level ɑ represents this probability.
What is the probability of making a Type I error?
This is the test that should be used when given a 5x5 table with the sample being a stratified random sample.
What is a chi-square test for homogeneity?
When finding the probability of selecting values from a normal distribution, this function is NEVER used.
What is Normal Pdf?
This term describes the general pattern of a distribution, such as symmetric, skewed left, or skewed right.
What is shape?
A test is used to determine if Gio is qualified to play soccer after removing his cast. The null hypothesis is that he does not pass the test. This is the type of error made if Gio’s doctor concludes that he passed the test (qualified) when he actually isn’t ready to start playing soccer again.
What is a Type I error?
In a chi-square test of independence with a 3x4 contingency table, this is the degrees of freedom.
What is 6?
When finding the appropriate critical value for a given confidence level, this type of function is used.
What is Inverse?
When comparing the mean and median of a distribution, this relationship suggests the data is skewed left.
What is mean < median?
At a powerlifting competition, Lucas is accused of cheating. The test conducted has a null hypothesis that he did not cheat. This type of error would be saying Lucas did not cheat when in reality he did.
What is a Type II error?
In a chi-square test with 4 degrees of freedom, this value of the test statistic indicates significance at alpha = 0.05.
What is 9.49?
Out of the three different functions given for z-tests, this one is not used in our curriculum.
What is z Test? (1-Prop and 2-Prop z Test are used)
This measure of spread is calculated as the square root of the average of the squared distances from the mean.
What is the standard deviation?
If a hypothesis test is found to have a power of 0.65, this is the probability that the test will result in a Type II error.
What is 0.35?
This is the formula used to calculate each component of the chi-square test statistic.
What is (observed – expected)^2 / expected?
This option for a scatter plot is only available after the Regression function has already been used.
What is Residuals?
You examine a histogram and find a long tail to the right. This affects which measure of center more and in which direction?
What is the mean and increases?
This factor should be increased to decrease the likelihood of both Type I and Type II errors.
What is sample size?
Steven thinks that the number of students with an average above 95 make up 80% of each grade. Assume every grade has 70 students. He records the number of people in every grade with a 95+ average. The observed values are as follows: Freshmen: 60, Sophomores: 56, Juniors: 64, Seniors: 49 Assume all conditions are met. This is the p-value Steven obtains from performing the appropriate chi-square test.
What is 0.512?
When conducting a simulation, this function is used to generate random numbers.
What is randInt?
Two distributions have the same mean and range, but different standard deviations. The one with the larger standard deviation has this characteristic in terms of data consistency.
What is greater variability (or greater average distances of the data points from the mean)?