For questions 2 through 11, state the test you would use to test the given state

Question

For questions 2 through 11, state the test you would use to test the given statement or claim. Assume that all necessary conditions for the test have been met. DO NOT SOLVE,ONLY STATE THE TEST THAT WOULD BE USED The possible answers are: z-test, t-test, 1propZtest, Chi-square test, 2sample-t-test, t-test (dependent samples), 2propZtest, 2sampleFtest, ANOVA, Chi-square test of independence, Chi-Square Goodness of Fit A pharmaceutical company claims that side effects are experienced by less than 20% of patients. In a sample of 400 patients, 68 experienced side effects 2,

Explanation / Answer

2.
The variable involved is the proportion of patients experiencing side effects.
Number of samples = 1
So, the test to be used is 1propZtest

3.
Number of samples = 2
Same pilots were used in two different treatments. Thus the samples in both sober condition and after drinking alcohol are dependent.
So, the test to be used is t-test(dependent samples)

4.
Number of samples = 1
As, we do not know the population standard deviation of normal human body temperature, we should use t test.
So, the test to be used is t-test

5.
The variable involved is the proportion of females enrolled in Canadian Business schools.
Number of samples = 1
So, the test to be used is 1propZtest

6.
Number of samples = 2. We need to test for the equality of variances for the two samples.
So, the test to be used is 2sampleFtest

7.
Number of samples = 1
As, we do know the population standard deviation of weights of blocks, we should use z test.
So, the test to be used is z-test

8.
Number of samples = 1
We know the sample standard deviation.
As, we do not know the population standard deviation of normal human body temperature, we should use t test.
So, the test to be used is t-test

9.
As, we are testing for independence for two variables opinions and party affiliation, where the data is given in the form of contingency tables,
we should use, Chi-square test of independence.

10.
Number of samples = 2
As, we do not know the population standard deviation in both the samples, we should use t test.
So, the test to be used is 2sample-t-test.

11.
Number of samples = 2
Same teachers were used in two different treatments. Thus the samples for both treatments (days before/after incentive) are dependent.
So, the test to be used is t-test(dependent samples)

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