1 1 StatCrunch The mean ACT scores for 43 male high school students is 21.1 with a standard deviation of 5.0. The mean ACT scores for 56 female high school students is 20.9 with a standard deviation of 4.7. At a significance level of 1%, test the claim that male and female high school students have equal ACT scores? (Adapted from ACT, Inc.) Part a) P- value method. 1.) Identify the null and alternative hypotheses. Enter =, , or "not equal" for # Ho: #1 - #2 H1:/1 - #2 2.) Find the test statistic: Test Statistic = (Round to two decimal places) 3.) Find the p-value: p-value = (Round to four decimal places) 4.) State the decision about the null hypothesis. (Type Reject or Fail to Reject in the answer box.) Ho 5.) Conclusion: There sufficient evidence that male and female high school students have equal ACT scores. (Type is or isn't into the answer box) Part b) Confidence interval method. 1.) Is this a one or two-tailed test? (Type One or Two) 2.) At a significance Jevel of 1%, what is the confidence level? % 3.)The Confidence Interval is: