Weekend HW

You have a couple things to worry about this weekend, and these may be our last 2 graded assignments of the quarter (other than homework and stamps). So these will have an important impact on your grade.

1. Vocab Test Monday! Study, study, study! Here's the list of words:
Sampling Distribution, Central Limit Theorem, Standard Error, 10% Condition-->independence, Randomization-->generalization, Success Failure-->large enough sample (for Normal Model), Confidence Interval, Margin of Error, Critical Value, Null Hypothesis--what we assume to be true, Alternative Hypothesis, One vs. Two Tailed Test, PValue, One Proportion ZTest, One Proportion ZInterval, Proportion (used for categorical data), Mean (used for quantitative data), p vs. p hat, xbar vs. mu, Alpha Level, Statistical Inference, Interpret CI vs. meaning of _% confidence, Sampling Variability, Population Parameter, Sample Statistic, Sample Size, 2 proportion z-test, 2 proportion z-interval

2. Take Home Quiz Due Monday! The questions are below (in case you lost it):

1.) Among 242 randomly selected Cleveland-area children born prematurely at low birth weights between 1977 and 1979, only 74% graduated from high school. Among a comparison group of 233 randomly selected children of normal birth weight, 83% were high school graduates.a.) Verify that the conditions for a 2 Proportion Z Interval are met. (4 points)
b.) Create a 95% confidence interval for the difference in graduation rates between children of normal and very low birth weights. (4 points)
c.) Interpret the meaning of your interval, in context. (4 points)
d.) Based on your interval above, do you believe there is a significant difference in the proportion of normal and low birth weight babies who graduate? Explain your reasoning. (2 points)

2.) Using an appropriate hypothesis test, determine if there is a statistically significant difference between graduation rates of normal and low birth weight babies. (We’ll skip the conditions since they’ve been checked above).
a.) State your null and alternative hypotheses, using appropriate notation. (3 points)
b.) Find the z-score and then your p-value. Show a sketch of a Normal model with the p-value shaded and labeled. (4 points)
c.) What do you conclude based on the p-value calculated above? (4 points)

3. Among 242 Cleveland-area children born prematurely at low birth weights between 1977 and 1979, only 74% graduated from high school. Among a comparison group of 233 children of normal birth weight, 83% were high school graduates.
a.) Based on this scenario regarding premature children explain what Type I error would be and name one consequence. (4 points)
b.) Based on this scenario regarding premature children explain what Type 2 error would be and name one consequence. (4 points)
c.) Based on your answers above, would you prefer a higher (10%) or lower (1%) alpha level? Explain your reasoning. (2 points)

3. Stamps are due on Wednesday/Thursday! (you need 20)

Enjoy your weekend and I'll see you Monday!