SOLUTION: Researchers were examining whether or not average prison sentence lengths for property offenders were different between California and Florida. The researchers had access to popul

Question 1168574: Researchers were examining whether or not average prison sentence lengths for property offenders were different between California and Florida. The
researchers had access to population data from Florida, but not from California. The population data from Florida showed a mean sentence length of 22 months,with a standard deviation of 3.2. Sample data collected in California from 500 convicted property offenders showed a mean sentence length of 24 months.
1. When the researchers conducted a Z-Test for One Sample mean to examine
whether or not there was a significant difference in sentence lengths between
California and Florida, the null hypothesis would be:
a. Ho: μ = 500
b. H1: μ ≠ 500
c. Ho: μ = 24
d. Ho: μ = 22
e. Ho: μ ≥ 22
f. H1: μ ≠ 24
I got A am I correct?
2. Assuming α =.05, what would be the critical value(s) for the z-statistic?
a. 0
b. .05
c. +/- .05
d. +/- 1.00
e. +/- 1.96
f. +/- 2.58
I got E am I correct?
Researchers were examining whether or not the average monthly use of marijuana
had changed for high school students in California. Population data from 2005 showed that high school students smoked marijuana an average of 5 times per month. Sample data from 2017 produced a 95% confidence interval that
suggested high school students smoke marijuana between 2.38 and 6.24 times per
month. Using this information, we can conclude that the researchers who
collected the 2017 data would…
a. …reject the null hypothesis (assuming α = .05).
b. …fail to reject the null hypothesis (assuming α = .05).
c. There is not enough information to draw a conclusion
I got A am I correct?

4. The probability of committing a Type I error is what?
a. Alpha
b. Beta
c. Power
I got A am I correct?

5. A researcher wants to see if there are gender differences in propensity toward violence. She collects data from a random sample of men and women. After conducting her analysis, the researcher concludes that there is not a significant difference in the likelihood of committing violent acts between males and females. However, in reality there is a difference in propensity toward violence between men and women, with men being more likely to commit violent acts. Which of the following best reflects what happened in this research study?
a. The researcher committed a Type I Error
b. The research committed a Type II Error
c. The researcher committed both a Type I and a Type II Error
d. The researcher correctly detected an existing effect
I got B am I correct?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
4 js correct
5 is correct-it is the non-rejection of a false null hypothesis.
1. It is Ho: mu=22. The parameter of interest is the length of the prison sentence, not the sample size. To compare with Florida, assume Cal's is the same in the null hypothesis (all H1 choices are irrelevant). It is b.
2. Given Ho, a two-way test, the critical value is |z|>1.96, or e. You are correct.
3. 5 is within the CI, which is another way of saying that 5 is a plausible value, meaning fail to reject Ho. When the CI fails to contain a value, one can assume that value is not plausible given the constraints.

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