In order to reject a null hypothesis, one should get a sample statistic that is far away from the hypothesized value. The farther this sample statistic is from the hypothesized value, the p-value
Added by Andrew Z.
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The farther this sample statistic is from the hypothesized value, the p-value should be smaller. Show more…
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Key Concepts
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A p-value is The probability of rejecting the null hypothesis assuming that the null hypothesis is true. The probability of rejecting the null hypothesis assuming that the null hypothesis is false. The probability that the observed test statistic is statistically significant. The probability of observing a test statistic at least as extreme as the observed test statistic assuming that the alternative hypothesis is true. None of the above
Thuc N.
If the p-value is less than alpha in a two-tailed test, the null hypothesis should not be rejected. The null hypothesis should be rejected. A one-tailed test should be used. No conclusion should be reached.
Ajiboye T.
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section. Repeat the preceding exercise using a 0.01 significance level. Does the conclusion change?
Hypothesis Testing
Testing a Claim About a Proportion
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
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