Q1) Following hypotheses are given.
H0 : π = 0.40
H1 : π ≠ 0.40
Sample of 120 observations revealed that p = .30. At the .05 significance level, can null hypothesis be discarded?
i) Define the decision rule.
ii) Calculate the value of the test statistic.
Q2) Assume that scores of section 1 follows normal distribution with mean 0.78 and standard deviation of 0.1.
(1) What percent of students in section 1 have scores more than 0.75?
(2) How high should a student score to place in top 5% of all students taking the test?