Question

The label on a can of mixed nuts says that the mixture contains 60% peanuts. After opening a can of nuts and finding 62 peanuts in a can of 100 nuts, a consumer thinks the proportion of peanuts in the mixture differs from 60%. The consumer writes these hypotheses: H 0

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:p=0.60 and H a
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:p=0.62, where p represents the proportion of peanuts in all cans of mixed nuts from this company. Are these hypotheses written correctly? Correct any mistakes as needed. Choose the correct answer below. A. The hypotheses are not correct. They should beH 0
​
:p=0.62 and H a
​
:p

=0.62. B. The hypotheses are not correct. They should be H 0
​
:p=0.60 and H a
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:p<0.60. C. The hypotheses are not correct. They should be H 0
​
:p=0.62 and H a
​
:p<0.62. D. The hypotheses are not correct. They should beH 0
​
:p=0.60 and H a
​
:p

=0.60. E. The hypotheses are not correct. They should be H 0
​
:p=0.60 and H a
​
:p>0.60. F. The hypotheses are not correct. They should be H 0
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:p=0.62 and H a
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:p>0.62. G. The hypotheses are correct.

Answer 1

Answer: p=0.62 and H a​=0.62.
B. The hypotheses are not correct. They should be H 0​:p=0.60 and H a​:p<0.60.

C. The hypotheses are not correct. They should be H 0​:p=0.62 and H a​:p<0.62.
D. The hypotheses are not correct. They should beH 0​:p=0.60 and H a​:p=0.60. E. The hypotheses are not correct. They should be H 0​:p=0.60 and H a​:p>0.60.

F. The hypotheses are not correct. They should be H 0​:p=0.62 and H a​:p>0.62.
G. The hypotheses are correct.

Explanation: