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Cloud [144]
2 years ago
9

Which of the following would be an appropriate alternative hypothesis?

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
5 0

Answer:

a. The population proportion is less than 0.65

True, we ar interested in see if the population proportion is (less, higher, not equal) to a specified value.

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

a. The population proportion is less than 0.65

True, we ar interested in see if the population proportion is (less, higher, not equal) to a specified value.

b. The sample proportion is less than 0.65

FALSE, we are interesed on parameters, not in statistics like the sample proportion when we conduct a hypothesis test.

c. The population proportion is equal to 0.65

FALSE, the alternative hypothesis can never have an equal sign.

d. The sample proportion is equal to 0.65

FALSE, the alternative hypothesis can never have an equal sign. And we are interesed on parameters, not in statistics like the sample proportion when we conduct a hypothesis test.

e. both (a) and (d)

FALSE, a its correct but option d no.

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Since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.

<h3>What is the relation between the p-value and the conclusion of the test hypothesis?</h3>

Depends on if the p-value is less or more than the significance level:

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In this problem, the probability is the p-value, hence since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.

More can be learned about p-values at brainly.com/question/13873630

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