In which of the following cases should the null be rejected? (multiple ans)*1 pointThe test statistic is higher than the critical valueThe P value is lower than .05The test statistic is lower than the critical value.The P value is higher than the alpha.
Question
In which of the following cases should the null be rejected? (multiple ans)*1 pointThe test statistic is higher than the critical valueThe P value is lower than .05The test statistic is lower than the critical value.The P value is higher than the alpha.
Solution
The null should be rejected in the following cases:
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The test statistic is higher than the critical value: When the test statistic is higher than the critical value, it falls in the rejection region of the hypothesis test. This means that the observed data is significantly different from what is expected under the null hypothesis, so the null hypothesis should be rejected.
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The P value is lower than .05: The P value is the probability of obtaining the observed data (or data more extreme) if the null hypothesis is true. If this probability is less than .05, it means that the observed data is very unlikely under the null hypothesis, so the null hypothesis should be rejected. This is based on the common threshold of .05 for statistical significance.
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