placebo to a sample of 250 patients, and they gave the drug to another sample of 250 patients fora period of two monti Then, they asked the patients about their symptoms. Among those given the placebo, 98 patients had a reduction of symptoms of bipolar depression, while119 patients in the other group had lesser symptoms. Based on these data, the researchers wondered whether there is statistical evidence that the new drug helps reduce the symptoms of bipolar depression. Use the given information to perform an appropriate hypothesis test. Assume that the conditions for the hypothesis test are satisfied. Use a = 0.05. Let the placebo group correspond to sample 1 and the group receiving the drug correspond to sample 2. (a) Ho : P1 = p2; Ha : p1 < p2, which is a left-tailed test. (b) Use a TI-83, TI-83 Plus, or TI-84 calculator to test if the proportions are different. Identify the test statistic, z, and p-valu from the calculator output. Round the test statistic to two decimal places and the p-value to three decimal places. Provide your answer below: test statistic = p-value =