In each case, there is a set of hypotheses, some information from one or more samples, and the standard error from the randomization distribution. Find the value of the standardized z-test statistic in each situation.
Test Ha:
0.25 vs Ha; p < 0.25 when the sample has 800 and p^ 0.235, with SE 0.018.
Test Ho: H = 10 vs Ha: H + 10 when the sample has n = 75 and x-bar = 11.33, s = 0.85, with SE 0.10.
Test Ho: Pi = Pz vs Ha: P1 < pz when the samples have n1 = 150 and p1 = 0.18, and n2 = 100 with p2 = 0.23, with standard error of p1^ - p2^ from the randomization distribution is 0.05.
Answer each of the following problems: (6 Points - 2Pts each)
Find the p-value based on the standard normal distribution for each of the following:
1. 103 for a left-tailed test for a mean.
2. 221.02