5.A Sports Medicine clinic was encouraging the use of a Conservative (non-surgical) protocol in the treatment of complete ruptures of the Achilles tendon. This protocol consists of a series of castings and TENS treatment followed by ultrasound and rigorous physical therapy. In a study performed by the Sports Medicine clinic, of the 1000 patients who received this treatment, 90 re-ruptured the tendon within two years of the original injury. The Standard (surgical) protocol involves surgery to reattach the tendon followed by physical therapy. Of those who receive the Standard protocol, 13% re-rupture the tendon within two years of the original injury. Test the hypothesis that the Conservative protocol reduces this proportionof patients who re-rupture the tendon. (α=5%) Show all procedures of Hypothesis Testing. 6.A study claims adults spend 9 hours per weekend on chores. A researcher wanted to see if this claim was true by sampling 101 adults. The mean and standard deviation of time spent on chores per weekend is shown below:2.26.8==sXa.Test the alternative hypothesis (α=.05) that the mean time spent on chores per weekend is less than 9 hours. SHOW ALL STEPSusing the p-value method. b.Test the alternative hypothesis (α=.05) that population standard deviation is under 3. (critical value method) 7.A researcher is comparing a treatment population to past data a out average length of time to complete a paragraph (at least 10 minutes) and wants to test the null hypothesis: 10:≥μOHat a significance level of 5%. The researcher is planning on independently sampling 29 students. a.What is the alternative hypothesis? b.What are the degrees of freedom for the t-distribution in the test statistic? c.Determine the Critical Value(s) and write the decision rule. The researcher has determined if 20=−aμμ, the power of the test would be 60%. Determine the effect of making the following changes in the experiment and test (circle one answer for each): a)Change the significance level from 5% to 1%: increase power reduce power no effect b)Change the sample size from 29 to 20: increase power reduce power no effect c)Instead of 20=−aμμ, calculate power for0=−aμμ: increase power reduce power no effect d)Limit the study to a sub-population with a lower overall standard deviation: increase power reduce power no effect 8.A stat student claims that over 60% of the students at De Anza oppose plus/minus grading. To prove this claim with 95% certainty, a survey was conducted and 140 out of 200 sampled students opposed plus/minus grading. a.State the Null and Alternative Hypotheses for this test. b.Determine αc.3.