HOMEWORK 3 (Due October 29)<\/p>\n
Professor Ozer<\/p>\n
Question 1 (25 points<\/p>\n
Let\u2019s say we are researching voter turnout in three different countries. Professor Ozer has gathered data from several elections in each country and has created two hypotheses.<\/p>\n
Hypothesis 1: Ozeristan will have a higher voter turnout than the Democratic Republic of Fisher.<\/p>\n
Hypothesis 2: The United States of Coconut will have higher voter turnout than both Ozeristan and the Democratic Republic of Fisher.<\/p>\n
Mean Voter Turnout (in %) Standard Deviation Sample Size (# of elections observed).<\/p>\n
Ozeristan50 10 5<\/p>\n
Democratic Republic of Fisher 60 10 5<\/p>\n
United States of Coconut 70 2 5<\/p>\n
a. Which of these countries has the most stable voter turnout rate? Why?<\/p>\n
b. Calculate the 95% confidence interval for each country. Please report them in the following format: [lower bound, upper bound]<\/p>\n
c. Does the evidence support Hypothesis 1? Why or why not?<\/p>\n
d. Does the evidence support Hypothesis 2? Why or why not?<\/p>\n
e. What would happen if we increased the sample size to 10 elections? 100 elections? No need to do the math, just tell me what would happen conceptually.<\/p>\n
Question 2 (25 points)<\/p>\n
a. What does it mean for something to be \u201cstatistically significant\u201d?<\/p>\n
b. What does it mean for something to be \u201csubstantively significant\u201d?<\/p>\n
c. If something is statistically significant, does that mean its also substantively significant? Why or why not?<\/p>\n
d. Why are null findings still important and relevant?<\/p>\n
Question 3 (25 points)<\/p>\n
Let\u2019s say Professor Ozer is running an experiment. In the treatment group, respondents were given a plate of cookies. In the control group, the respondents were given nothing. They were then asked how much they like Professor Ozer on a 100 point scale, with higher scores indicating that they liked him more. The results are as follows.<\/p>\n
Mean score Standard deviation # of respondents<\/p>\n
Treatment Group 75 15 100<\/p>\n
Control Group 50 15 100<\/p>\n
a. Calculate a difference of means test.<\/p>\n
b. Is there a statistically significant difference between the two groups (p < .05)? Why? <\/p>\n
Bonus question! (.5 points)<\/p>\n
Who\/what are you going as for Halloween? <\/p>\n","protected":false},"excerpt":{"rendered":"
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