Independent random samples of n, = 180 and n2 = 180 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 95 successes, and sample 2 had 101 successes. (a) Suppose you have no preconceived idea as to which parameter, p, or P2, is the larger, but you want to detect only a difference between the two parameters if one exists. What should you choose as the alternative hypothesis for a statistical test? The null hypothesis? O Ho: (P1 - P2) = 0 versus Ha : (P1 - P2) = 0 O Ho: (P1 - P2) = 0 versus Ha: (P1 - P2) $ 0 O Ho: (P1 - P2) = 0 versus Ha: (P1 - P2) = 0 O Ho: (P1 - P2) Do the data provide sufficient evidence to indicate a difference in the population proportions? O Ho is rejected. There is insufficient evidence to indicate that there is a difference in the two population proportions. O Ho is not rejected. There is sufficient evidence to indicate that there is a difference in the two population proportions. O Ho is not rejected. There is insufficient evidence to indicate that there is a difference in the two population proportions. O Ho is rejected. There is sufficient evidence to indicate that there is a difference in the two population proportions.An experiment was conducted to test the effect of a new drug on a viral infection. After the infection was induced in 100 mice, the mice were randomly split into two groups of 50. The first group, the control group, received no treatment for the infection, and the second group received the drug. After a 30-day period, proportions of survivors, p, and p,, in the two groups were found to be 0.38 and 0.60, respectively. (a) Is there sufficient evidence to indicate that the drug is effective in treating the viral infection? Use a = 0.05. State the null and alternative hypotheses. O Ho: (P1 - P2) = 0 versus Ha: (P1 - P2) 5. Conclusion: O Ho is rejected. There is sufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug. O Ho is not rejected. There is insufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug. O Ho is rejected. There is insufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug. O Ho is not rejected. There is sufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug.A large study was conducted to test the effectiveness of a drug in combination with aspirin in warding off heart attacks and strokes. The trial involved more than 11,500 people 45 years of age or older from 32 countries. These people had been diagnosed with cardiovascular disease or had multiple risk factors. The subjects were randomly assigned to one of two groups. After two years, there was no difference in the risk of heart attack, stroke, or dying from heart disease between those who took the prescription drug and low-dose aspirin daily and those who took low-dose aspirin plus a dummy pill. The two-drug combination actually increased the risk of dying (5.5% versus 3.4%) or dying specifically from cardiovascular disease (3.6% versus 2.9%). (a) The subjects were randomly assigned to one of the two groups. Explain how you could use the random number table to make these assignments. O Choose a random number between 0 and 9 for each patient over 60. All patients under 60 years old are assigned aspirin. If the patient receives a number between 0 and 4, the assigned drug is aspirin. If the patient receives a number between 5 and 9, the assigned drug is the prescription drug. O Choose a random number between 0 and 4 for each male patient and a number between 5 and 9 for each female patient. If the patient receives a number between 0 and 4, the assigned drug is aspirin. If the patient receives a number between 5 and 9, the assigned drug is the prescription drug. O Choose a random number between 0 and 9 for each patient. If the patient receives a number between 0 and 4, the assigned drug is aspirin. If the patient receives a number between 5 and 9, the assigned drug is the prescription drug. O Choose a random number between 0 and 9 for each patient. If the patient receives a number between 0 and 4, the assigned drug is aspirin. If the patient receives a number between 5 and 9, the patient chooses whether to take aspirin or the prescription drug. Choose a random number between 0 and 9 for each patient over 60. If the patient receives a number between 0 and 4, the assigned drug is aspirin. If the patient receives a number between 5 and 9, the assigned drug is the prescription drug. (b) No sample sizes were given in the article: however, let us assume that the sample sizes for each group were n, = 6030 and n2 = 5470. Determine whether the risk of dying was significantly different for the two groups. (Round your answers to two decimal places. Use a = 0.01.) 1-2. Null and alternative hypotheses: O Ho: (P1 - P2) = 0 versus Ha : (P1 - P2) = 0 O Ho: (P1 - P2) # 0 versus Ha: (P1 - P2) = 0 O Ho: (P1 - P2)