A null and alternative hypothesis for a one proportion z test are given as H0: p = 0.8, Ha: p < ...

A null and alternative hypothesis for a one proportion z test are given as H0: p = 0.8, Ha: p < 0.8 . This hypothesis test is
 a. lower-tailed.
  b. upper-tailed.
  c. two-tailed.
  d. these hypotheses are incorrectly stated.

Q. 2

In binary integer linear program, the integer variables take only the values
 a. 0 or 1.
  b. 0 or 8.
  c. 1 or 8.
  d. 1 or 1.

Q. 3

What are the two decisions that you can make from performing a hypothesis test?
 a. Reject the null hypothesis; Fail to reject the null hypothesis
  b. Accept the null hypothesis; Accept the alternative hypothesis
  c. Make a type I error; Make a type II error
  d. Reject the alternative hypothesis; Accept the null hypothesis

Q. 4

The objective function for an optimization problem is: Max 5x  3y, with constraints x  0, y  0 and y must be an integer. x and y are the only decisions variables. This is an example of a(n)
 a. all-integer linear program.
  b. mixed-integer linear program.
  c. LP relaxation of the integer linear program.
  d. binary integer linear program.

Q. 5

A Type I error is committed when
 a. a true alternative hypothesis is not accepted.
 
  b. a true null hypothesis is rejected.
  c. the critical value is greater than the value of the test statistic.
  d. the validity of a claim was rejected.

Q. 6

The objective function for an optimization problem is: Min 3x  2y, with constraints x  0, y  0 . x and y must be integers.. Suppose that the integer restriction on the variables is removed. If so, this would be a familiar two-variable linear program; however, it would also be an example of
 a. the convex hull of the linear program.
  b. a mixed-integer linear program.
  c. an LP relaxation of the integer linear program.
  d. a binary integer linear program.