The students at a small community college in Iowa apply to study either English or Business. Some ...

The students at a small community college in Iowa apply to study either English or Business.
 
  Some administrators at the college are concerned that women are being discriminated against in being allowed admittance, particularly in the business program. Below, you will find two contingency tables that show the percentage of students admitted by gender to the English program and the Business school. The data has also been presented graphically. What do the data and graphs indicate?

Q. 2

What would the manager's null and alternative hypotheses for testing the significance of 2 be?
 
  A) H0 : 2 = 0 and H1 : 2 > 0
  B) H0 : 2 > 0 and H1 : 2 < 0
  C) H0 : 2  0 and H1 : 2 = 0
  D) H0 : 2 = 0 and H1 : 0 < 2 < 1

Q. 3

What is the lower confidence limit of the 99 confidence interval for the difference between the two population proportions?
 
  A) -0.011
  B) 0.036
  C) -0.036
  D) 0.011

Q. 4

The total area under the curve of the probability density function for a continuous random variable depends on the shape of the probability distribution of the random variable.
 
  Indicate whether the statement is true or false

Q. 5

Using results of Excel or Minitab to conduct a two-sample t-test for data in the table above, test H0 : 1 - 2 = 0 vs. H1 : 1 - 2  0 at the 5 significance level. What is your conclusion?
 
  What will be an ideal response?