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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

Question

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

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Solution

The correct answer is: the alternative hypothesis must be accepted.

Here's the step by step explanation:

  1. Hypothesis testing starts with the formulation of these two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1 or Ha).

  2. The null hypothesis is the statement that is believed to be true, and it's usually the hypothesis of no change or no effect.

  3. The alternative hypothesis is the statement that we will accept if we find enough evidence against the null hypothesis.

  4. When we perform a hypothesis test, we calculate a test statistic and a p-value. The p-value is the probability of obtaining the observed data (or data more extreme) if the null hypothesis is true.

  5. If the p-value is less than our significance level (commonly 0.05), we reject the null hypothesis. This is because a small p-value indicates that the observed data is very unlikely under the null hypothesis.

  6. If we reject the null hypothesis, we are saying that the observed data is more consistent with the alternative hypothesis. Therefore, we accept the alternative hypothesis.

So, if the null hypothesis is rejected, the alternative hypothesis must be accepted.

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