In a study of 817 randomly selected medical malpractice​ lawsuits, it was found that 495 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be​ conducted?   A. H0: p=0.5 H1: p≠0.5   B. H0: p=0.5 H1: p>0.5   C. H0: p=0.5 H1: p<0.5   D. H0: p<0.5 H1: p=0.5   E. H0: p>0.5 H1: p=0.5   F. H0: p≠0.5 H1: p=0.5 What is the test​ statistic?   z=nothing ​(Round to two decimal places as​ needed.) What is the​ P-   ​P-value= ​(Round to three decimal places as​ needed.)

Classify the hypothesis test as two-tailed, left-tailed, or right-tailed. At one school, the average amount of time that tenth-graders spend watching television each week is 21.7 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.7 hours. O right-tailed O two-tailed left-tailed

The article "Euthanasia Still Acceptable to Solid Majority in U.S."t summarized data from a survey of 1,025 adult Americans. When asked if doctors should be able to end a terminally ill patient's life by painless means if requested to do so by the patient, 707 of those surveyed responded yes. For purposes of this exercise, assume that it is reasonable to regard this sample as a random sample of adult Americans. Suppose that you want to use the data from this survey to decide if there is convincing evidence that more than two-thirds of adult Americans believe that doctors should be able to end a terminally ill patient's life if requested to do so by the patient. (a) What hypotheses should be tested to answer this question? 2 OH₁: p= ²2/1 2 =/²3/₁ O Ho: P= O Ho: P - versus H₂: p = Ho: p= versus H₂:p> 3 (c) Would you have reached. 2 3 2 3 2 3 2 3 (b) The P-value for this test is 0.058. What conclusion would you reach if x = 0.05? O reject Ho O fail to reject Ho different conclusion if x =…

Swain v. Alabama (1965) a lawsuit that argued that there was discrimination against African-Americans in grand jury selection. This case used a statistical argument based on the data that 181 African-Americans out of a random sample of 1075 were called to appear for possible duty. Using the information that Census data show that 24% of those eligible for jury service were African-America conduct the hypothesis test to test the claim of discrimination. Use a significance level of 0.025. State the null and alternative hypothesis  Compute the test statistic and the p-value.  Write your conclusion as if you are the expert witness in this case and explain what this p-value means to a jury.  What assumptions do we need in order for the conditions of the hypothesis test procedure to be met?