Question: Explain the difference between testing a single mean and testing the difference between two means. What is the main difference between dependent and Independent samples?
- Explain the difference between testing a single mean and testing the difference between two means.
- What is the main difference between dependent and Independent samples? (Give examples)
- What is the purpose of two samples "t" test?
- How is the chi-square independence test similar to the goodness-of-fit test? How is it different?
- What is the difference between McMemar's Test and the Chi-squared test for 2 by 2 table.
- A clinic administers two drugs to two groups of randomly assigned patients to cure the same disease: 70 patients received Drug 1 and 80 patients received Drug 2. The following table gives the information about the number of patients cured and the once not cured by each of these two drugs
| Cured | Not cured | |
| Drug 1 | 59 | 11 |
| Drug 2 | 61 | 19 |
A. For this contingency table, what is the number of degrees of freedom? (Show calculations)
- 4
- 3
- 1
- 2
B.For this contingency table, what are the observed frequencies for the first row? (Show calculations)
- 56 and 14
- 59 and 11
- 59 and 61
- 56 and 64
C. For this contingency table, what are the expected frequencies for the first row? (Show calculations)
- 59 and 11
- 59 and 61
- 56 and 64
- 56 and 14
D. For this contingency table, what is the critical value of chi square, use 10% significance level? (Show Calculations)
- 5.991
- 4.605
- 3.841
- 2.706
E. What is the test statistics for this contingency table? (Show calculations)
- 1.51
- 2.15
- 1.61
- 2.15
F.Based on chi-squared test, we can say that
- The drug is effective
- The drug is not effective
For this question, please answer in the following format:
| A | B | C | D | E | F |
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