In: Statistics and Probability
In a sample of 155 university lecturers, 101 said that mathematic courses in high school were the most important source of a student’s success in engineering departments. Test the hypothesis that mathematic courses are the most important sources of a child’s success for at most 65% of university lecturers against the alternative that the population percentage is greater than 65%. Use a=0.05.
a. Construct hypthesis H0: vs H1: (IMPORTANT: for inequalities use one of the appropriate of the following. For example; x less than y, x greater than y, x greater than or equal to y, x less than or equal to y )
b. Test statistic value is
c. P-value is
d. Decision (here use "reject" or "fail to reject", but don't forget to explain on the paper!)