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Whenever the null hypothesis is not rejected:Group of answer choicesthe null hypothesis is accepted.the null hypothesis is true.the alternative hypothesis is false.the null hypothesis is maintained.

Question

Whenever the null hypothesis is not rejected:Group of answer choicesthe null hypothesis is accepted.the null hypothesis is true.the alternative hypothesis is false.the null hypothesis is maintained.

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Solution

The correct answer is: the null hypothesis is maintained.

Explanation:

  1. The null hypothesis is accepted: This is incorrect. In hypothesis testing, we do not "accept" the null hypothesis, we only fail to reject it. This is because we are working with sample data, and there is always a chance that our sample was not representative of the population.

  2. The null hypothesis is true: This is incorrect. Just because we fail to reject the null hypothesis, it does not mean it is true. It simply means that, based on our sample data, we do not have enough evidence to reject it.

  3. The alternative hypothesis is false: This is incorrect. Failing to reject the null hypothesis does not automatically make the alternative hypothesis false. It simply means we do not have enough evidence to support it.

  4. The null hypothesis is maintained: This is correct. When we fail to reject the null hypothesis, it means we are maintaining it as the hypothesis that best fits our data.

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