Calculate basic probability and hypothesis testing concepts
Advice
To get full credit, you need to show your work. Partial credit will be awarded if you show your work but had a calculation error.
To show your work you can use the mathematical functionality in Word, or handwrite your calculations and submit the scan. Please note that all handwritten calculations must be legible.
Questions
- Here is a set of scores:
7, 2, 6, 1, 9, 3, 5, 2
If we were to place these numbers in a bag and randomly select one of these scores, (replacing them after each selection) what is the probability this score will be…
a. equal to 6?
b. an even number?
c. equal to 2 or 7?
d. an odd number?
e. equal to 1, 2 or 9? - Within hypothesis testing, why do we say a research hypothesis has been “supported” rather than “proven”?
- What are the 2 types of decision errors researchers can make? Describe them.
- Are these p values statistically significant or not (at the p < .05 cutoff)?
a. p = .029
b. p < .005
c. p = .50
d. p = .001
e. p = .06 - For each of the following state whether you should use a one-tailed or two-tailed test and why you chose that type of test.
a. Do Canadian children score higher than American children in general on reading ability?
b. Is the level of income for residents of a particular city different from the level of income for people in the entire region?
c. Do children who have experienced poverty have more or less fear of food insecurity when they are adults compared to the general population?
d. Do women who have access to quality prenatal care deliver more full term babies than mothers who do not have access to quality prenatal care?
e. Do countries with government-funded adult literacy programs have lower rates of illiteracy than countries with no such programs?