Which of the following is true about determining the proper form of the hypotheses?Group of answer choicesH0 is statistically proved true while testingfailure to reject H0 proves H1 wrongH0 is always assumed to be true in testingH1 is always assumed to be true in testing
Question
Which of the following is true about determining the proper form of the hypotheses?Group of answer choicesH0 is statistically proved true while testingfailure to reject H0 proves H1 wrongH0 is always assumed to be true in testingH1 is always assumed to be true in testing
Solution
To determine the proper form of the hypotheses, we need to consider the purpose of hypothesis testing. Hypothesis testing is used to make inferences about a population based on sample data.
In hypothesis testing, we have two competing hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis represents the status quo or the assumption that there is no significant difference or relationship between variables in the population. The alternative hypothesis, on the other hand, represents the claim or the hypothesis we are trying to support or prove.
Now, let's evaluate the given options:
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H0 is statistically proved true while testing: This statement is incorrect. In hypothesis testing, we do not prove the null hypothesis to be true. Instead, we either reject or fail to reject the null hypothesis based on the evidence from the sample data.
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Failure to reject H0 proves H1 wrong: This statement is also incorrect. Failing to reject the null hypothesis does not prove the alternative hypothesis to be wrong. It simply means that we do not have enough evidence to support the alternative hypothesis.
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H0 is always
Similar Questions
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Whenever the null hypothesis is not rejected:Group of answer choicesthe null hypothesis is accepted.the alternative hypothesis is false.the null hypothesis is maintained.the null hypothesis is true.
True or false? In hypothesis testing you always present two sets of hypotheses.
In hypothesis testing if the null hypothesis is rejected, then ___.Group of answer choicesthe alternative hypothesis must be acceptedthe alternative hypothesis must also be rejectedthe data must have been accumulated incorrectlyno conclusions can be drawn from the test
Hypothesis testing always assumes that H0 is true and uses ____________________ to determine whether H1 is more likely to be true. Group of answer choicespopulation datasample datapercentile informationboolean logic
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