1. Use descriptive statistics to summarize the proportion experiencing headache (grouped by history of previous concussion and total), the proportion experiencing any symptoms (grouped by history of previous concussion and total) and the mean number of symptoms experienced (grouped by sex and total). Discuss any relevant findings.

2. Develop 95% confidence intervals for (a) the proportion of all student-athletes experiencing headaches, and (b) the mean number of symptoms experienced by student?athletes participating in cheerleading. Comment on whether the appropriate assumptions are met for these methods.

3. Conduct a hypothesis test at an ?=0.05 significance level to determine if there is a difference in the mean number of symptoms experienced between male student-athletes and the mean number of symptoms experienced by female student-athletes. Include your hypotheses, test statistic, P-value and conclusion. Comment on whether the appropriate assumptions are met for this test.

4. Conduct a hypothesis test at an ?=0.05 significance level to determine if the proportion of student-athletes experiencing headaches is different than the proportion indicated in the research. Include your hypotheses, test statistic, P-value and conclusion. Comment on whether the appropriate assumptions are met for this test.

5. Given your results from the previous questions, what recommendations would you make to the state high school athletic association?

#1 a: Sample Proportions Previous Concussion No Previous Concussion Overall Headache 0.283018868 0.3125 0.292207792 Any Symptoms 0.213721062 #1 a: Sample Sizes Previous Concussion No Previous Concussion Overall #1 b: Sample Means Male 0.581395349 0.795116411 Symptoms Experienced 0.0395 #1 b: Sample Sizes #2: 95% Cis n Point Estimate Margin of Error Lower Upper Headaches 45 0.2922 0.071826571 0.220373249 0.364026751 Number of Symptoms 757 0.2137 0.0103 0.2034 0.224 #3: Two Sample HT-Number of Symptoms (Male vs Female) Test Statistic 0.800309231 P-Value 0.21239449 #4: One Sample HT-Headaches vs Research Test Statistic -40.73648903 P-Value 2.50E-84 #2: 95% Cis n Point Estimate Margin of Error Lower Upper Cheerleading 19 0.7895 0.222 0.5675 1.0115 All student- sthletes 154 0.2137 0.0103 0.2034 0.224t-Test: Two-Sample Assuming Unequal Variances Female Male claim .3 Mean 0.717948718 0.657894737 sample .2922 Variance 0.205128205 0.228070175 se 0.036927447 Observations 78 76 Z -7.831838405 Hypothesized Mean Difference 0 p 2.40E-15 df 151 t Stat 0.800309231 P(T