In: Statistics and Probability
1.The critical region is the proportion of the sampling distribution that is:
A.unlikely to occur if the alternative hypothesis is true
B.likely to occur if the null hypothesis is true
C.unlikely to occur if the null hypothesis is true
D.unlikely to occur if either the null or alternative hypothesis is true
2.If you are provided the population standard deviation (sigma) and are testing the potential effect of a treatment on that population using sample data, then which of the following hypothesis tests should you use?
a. z-test (chapter 8)
b. single sample t-test (chapter 9)
c. independent samples t-test (chapter 10)
d. repeated-measures t-test (chapter 11)
3.You are testing the potential effect of a treatment on the population using sample data. You are not provided the population standard deviation (sigma) and are forced to estimate it using sample variability values. Which of the following hypothesis tests should you use?
a. z-test (chapter 8)
b. single sample t-test (chapter 9)
c. independent samples t-test (chapter 10)
d. repeated-measures t-test (chapter 11)
4. You are using two sets of sample data to compare how two unique populations compare to each other. You are not provided the population means or standard deviations and are forced to estimate the values using sample data. Which of the following hypothesis tests should you use?
a. z-test (chapter 8)
b. single sample t-test (chapter 9)
c. independent samples t-test (chapter 10)
d.repeated-measures t-test (chapter 11)
5. You are collecting two measurements from each participant in a study in order to see how people differ under two separate conditions. The difference scores you analyze are summarized by a mean difference (M sub D) that estimates the mean difference (µ sub D) for the population. Which of the following hypothesis tests should you use?
a. z-test (chapter 8)
b. single sample t-test (chapter 9)
c. independent samples t-test (chapter 10)
d. repeated-measures t-test (chapter 11)
6. If your observed test statistic (e.g., z or t) falls in the critical region, then you should_______________.
a. Reject the alternative hypothesis
b. Reject the null hypothesis
c. Do not reject the null hypothesis
d. Change majors
Please answer and label thoroughly! thank you!
Solution:
1. The critical region is the proportion of the sampling distribution that is:
Answer: C.unlikely to occur if the null hypothesis is true
2. If you are provided the population standard deviation (sigma) and are testing the potential effect of a treatment on that population using sample data, then which of the following hypothesis tests should you use?
Answer: a. z-test (chapter 8)
3. You are testing the potential effect of a treatment on the population using sample data. You are not provided the population standard deviation (sigma) and are forced to estimate it using sample variability values. Which of the following hypothesis tests should you use?
Answer: b. single sample t-test (chapter 9)
4. You are using two sets of sample data to compare how two unique populations compare to each other. You are not provided the population means or standard deviations and are forced to estimate the values using sample data. Which of the following hypothesis tests should you use?
Answer: c. independent samples t-test (chapter 10)
5. You are collecting two measurements from each participant in a study in order to see how people differ under two separate conditions. The difference scores you analyze are summarized by a mean difference (M sub D) that estimates the mean difference (µ sub D) for the population. Which of the following hypothesis tests should you use?
Answer: d. repeated-measures t-test (chapter 11)
6. If your observed test statistic (e.g., z or t) falls in the critical region, then you should_______________.
Answer: b. Reject the null hypothesis