What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 :  μ  is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14528140 H1 :  μ  is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14528140 In the context of this test, what is a Type II error? A Type II error is ?rejectingfailing to reject the hypothesis that  μ  is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14528140 when, in fact,  μ  is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14528140. Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ?Type IType II

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One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, 
μ
, among the general population on this subsection. The website reports that 
μ
 is 
140
, but you believe that 
μ
 is greater than 
140
. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 
145
 and that the standard deviation of their scores is 
28
.

Based on this information, answer the questions below.

What are the null hypothesis (
H0
) and the alternative hypothesis (
H1
) that should be used for the test?

H0
μ
 is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14528140
H1
μ
 is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14528140

In the context of this test, what is a Type II error?

A Type II error is ?rejectingfailing to reject the hypothesis that 
μ
 is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14528140 when, in fact, 
μ
 is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?14528140.

Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ?Type IType II
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