AP Stats Free Response - Period 6 Name, Date_ Many people consider Fosco University every ye ar for its large graduate programs (estimated over 7,500 students each year). Fos co University provides housing for 10% of the graduate students on campus. The housing office thinks that the percentage of graduate students looking for campus housing may be more than 10%. The office decides to survey a random sample of graduate students, and 62 of the 481 respondents say that they are looking for housing on campus. (a) With the results of the survey, would you re commend that the Fosco University consider increasing the amount of housing on campus for graduate students? Give the appropriate evidence/test to support your claim. Use a significance level of.05. (b) In addition to the 481 gradua te students who completed the survey, an additional 19 students did not respond. If the 19 responded, would you change your recommendation? Explain and show work.

About 4% of the population has a particular genetic mutation. 300 people are randomly selected.Find the mean for the number of people with the genetic mutation in such groups of 300. (Remember that means should be rounded to one more decimal place than the raw data.)

Page 160 #17 We predict that children exhibit more aggressive act after watching a violent television show. The scores for ten children were recorded before they watched a violent show and then after they watched a violent show. Aggression was measured in terms of number of aggressive acts (e.g. hitting, yelling, kicking etc).   Sample 1 (after TV show): 5,6,4,4,7,3,2,1,4,1 Sample 2 (before TV show): 4,6,3,2,4,1,0,0,5,2   Is this a one-tailed or two-tailed test?

A district health officer wishes to determine if the six villages in his district are independent of residents contracting malaria, schistosomiasis, cholera or tuberculosis. Identity an appropriate statistical test and the tail of the test for the problem. Assume all samples used for study come from a normal population.

An investigator wants to assess whether smoking is a risk factor for pancreatic cancer. Electronic medical records at a local hospital will be used to identify fifty patients with pancreatic cancer.  One hundred patients who are similar but free of pancreatic cancer will also be selected.  Each participant’s medical record will be analyzed for smoking history.  Identify the type of study proposed. Briefly explain why you think the study is of this type. Indicate the study type's specific strengths and weaknesses. What is the most likely source of bias in the study .

Imagine a study comparing two groups:  undergrad vs. graduate students in terms of stress level. You find that 100% of the graduate students in your study are men and 100% of your undergraduate students are women. What effect does knowing the gender distribution have on your research conclusions?

According to the NIMH website the average number of adult Americans diagnosed with a “serious mental illness” across all 50 states in 2019 was μ = 5.2 out of 100 residents (or 5.2%).  Please test to see if the sample of states listed below (n=8) has a significantly higher level of mental illness than the population mean of 5.2. Sample data: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. Hint - drop the % signs and use 5.45, 5.32, etc as the X scores.  If you want you can use JASP for help with the calculations.  Use 3 decimal places for the M, s, SEM. The alpha level for the study was set to α=.05.   a. State the hypotheses of the study. b. Find the critical t value for this studyc. Compute the one-sample t test. d. Compute the Cohen's d for the data (even if not significant) e. State the results - is the sample significantly higher?  Do you reject the null hypothesis?   Report the t test results in APA format…