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A student claims that he can correctly identify whether a person is a business major or an agriculture major by the way the person dresses. Suppose in actuality that if someone is a business major, he can correctly identify that person as a business major 87% of the time. When a person is an agriculture major, the student will incorrectly identify that person as a business major 16% of the time. Presented with one person and asked to identify the major of this person (who is either a business or an agriculture major), he considers this to be a hypothesis test with the null hypothesis being that the person is a business major and the alternative that the person is an agriculture major.
1. Referring to Scenario, what is the value of a?
A) 0.84.
B) 0.13.
C) 0.16.
D) 0.87.
2. Which of the following would be an appropriate alternative hypothesis?
A) The sample proportion is less than 0.65.
B)The population proportion is less than 0.65.
C) The population proportion is not less than 0.65.
D) The sample proportion is not less than 0.65.

Answer :

batolisis

Answer:

1) 0.84 ( a )

2) The sample proportion is not less than 0.65 ( D )

Step-by-step explanation:

1) The value of a is the value of the alternate hypothesis

since he wrongly Identifies a student as a Business major  16% of the time

The value of the alternate hypothesis ( Ha : = 1 - 0.16 = 0.84

                                              while  H0 : = 0.87

2) An appropriate alternative hypothesis

 Ha : μ ≥ 0.65  ( The sample proportion is not less than 0.65 )

The value of a is the value of the alternate hypothesis is 0.84 .

The sample proportion is not less than 0.65.

  • Part 1 ; statistical hypothesis testing, the alternative hypothesis is a of an old one. It is usually consistent with the research hypothesis because it is constructed from literature review, previous studies, etc.

       The student correctly identify that person as a business major 87% of              

       the time.

       

       Since he wrongly Identifies a student as a Business major 16% of the      

        time.

      The value of the alternate hypothesis ( Ha : = 1 - 0.16 = 0.84 )

     while  H0 : = 0.87

       

        The value of a is 0.84.

Statistical hypothesis testing, the alternative hypothesis is a position     that states something is happening, a new theory is preferred instead of an old one. It is usually consistent with the research hypothesis because it is constructed from literature review, previous studies, etc.

     

  • Part 2 ;  According to the question;

       An appropriate alternative hypothesis

       Ha :  μ ≥ 0.65 .

      The sample proportion is not less than 0.65 .

For more details about alternative hypothesis click the link given below;

https://brainly.in/question/28719357

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