Before endorsing a candidate for political office, a newspaper editor surveys 200 randomly selected readers and finds that 140 favor the candidate in question.  At the 0.05 level of significance, test the editor's claim that the candidate is favored by more than two-thirds of the readers. The correct statement for the claim in this test is:

A.) H1 p >= 2/3

B.) H0 p > 2/3

C.) H0 p >= 2/3

D.) H1 p > 2/3

Using the Question Above:

The critical value(s) for this test is/are:

A.) 1.645

B.) 1.96

C.) -1.645

D.) -1.96

The test statistic is:

A.) 1.00

B.) -5.42

C.) -1.00

D.) 5.42

The correct conclusion for this test is:

A.) Reject Ho which says there is sufficient evidence to warrant support of the claim that two-thirds of the readers favor the candidate.

B.) Fail to reject Ho which says there is insufficient evidence to warrant support of the claim that two-thirds of the readers favor the candidate.

C.) Fail to reject Ho which says there is insufficient evidence to warrant rejection of the claim that two-thirds of the readers favor the candidate.

D.) Reject Ho which says there is sufficient evidence to warrant rejection of the claim that two-thirds of the readers favor the candidate.

In testing a computer component, it is found that the mean time between failures is 937 hours.  A modification is made which is supposed to increase reliability by increasing the time between failures.  test on a sample of 26 modified components produce a mean of 983 hours, with a standard deviation of 52 hours.  At the 0.01 level of significance, test the claim that the modified components have a longer mean time between failures. The correct statement for the claim in this test is:

A.) H1 u > 937

B.) H0 u > 937

C.) H0 u > 983

D.) H1 u > 983

Using the Question Above:

The critical value for this test is:

A.) 2.485

B.) 2.575

C.) 2.33

D.) 2.060

The test statistic for this test is:

A.) -5.31

B.) -4.51

C.) 5.31

D.) 4.51

The correct conclusion is:

A.) Reject Ho which says there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

B.) Fail to reject Ho which says there is insufficient evidence to warrant rejection of the claim that the modified component have a longer mean time between failures.

C.) Fail to reject Ho which says that there is insufficient evidence to support the claim that the modified components have a longer mean time between failures.

D.) Reject Ho which says there is sufficient evidence to warrant rejection of the claim that the modified components have a longer mean time between failures.