Asked by Salah Suwaileh on Jun 10, 2024

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The p-value of a test is the:

A) smallest α at which the null hypothesis can be rejected
B) largest α at which the null hypothesis can be rejected
C) largest β at which the null hypothesis cannot be rejected
D) smallest α at which the null hypothesis cannot be rejected
E) largesta α t which the null hypothesis cannot be rejected

P-Value

The probability of obtaining test results at least as extreme as the results observed, assuming that the null hypothesis is correct.

Alpha (α)

In hypothesis testing, the threshold probability for incorrectly rejecting the null hypothesis, representing the level of significance of the test.

Beta (β)

In statistics, it often represents the probability of committing a Type II error, or in regression, it denotes the slope coefficients representing the change in the dependent variable for a one-unit change in the independent variable.

  • Explain the meaning of p-values and their importance when testing hypotheses.
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MA
Mitchell AshbaughJun 13, 2024
Final Answer :
A
Explanation :
The p-value of a test is defined as the smallest level of significance (α) at which the null hypothesis can be rejected. It represents the probability of observing a test statistic as extreme as, or more extreme than, the statistic observed under the assumption that the null hypothesis is true.