Historically 25% of all students taking an statistics course have failed (i.e. receive a grade below C). Professor Han thinks that she has a better method of teacher statistics to business students. She is given a random sample of 40 business student to teach last Spring. The students are given the traditional exam. Only 4 of the students fail to obtain a C or better. Is this evidence at 1% level that Professor Han's method produces less than 25% grades less than a C? What is the p-value for your test?

Dessert:

1. To test for a difference between means of paired data, we test whether the differences of the paired data could come from a population with mean___________.

2. The chi-square statistic for a 7x4 contingency table will have _______________ degree of freedom.

3. If the digits 0, 2, 4, 6 represent wins and the digits 1, 3, 5, 7 represent lose, then the random numbers 4657, 1323, 0235 represent what sequence of numbers of wins in three plays of the four games?

4. When the sample distribution is of samples having a small fraction of size of the population, the standard error of the mean is denoted by ___________________________.