Asked by Brianna Elizabeth on Jun 26, 2024
Verified
When testing , the observed value of the z-score was found to be -2.15. Then, the p-value for this test would be
A) .0158
B) .0316
C) .9842
D) .9864
E) .9964
Z-score
A numerical metric indicating how a value compares to the average of a set of values, shown by the number of standard deviations it is from the average.
P-value
The probability of observing a statistic as extreme as, or more extreme than, the observed value under the null hypothesis.
- Execute calculations and provide interpretations for p-values and test statistics during hypothesis examinations regarding population means and proportions.
Verified Answer
FS
Felicia ShandorJun 27, 2024
Final Answer :
B
Explanation :
The p-value is equal to the area under the curve to the left of the observed z-score. Looking at a standard normal distribution table or using a calculator, the area to the left of -2.15 is approximately 0.0316. Therefore, the p-value for this test is 0.0316 or 3.16%. The best choice for the answer is B.
Learning Objectives
- Execute calculations and provide interpretations for p-values and test statistics during hypothesis examinations regarding population means and proportions.
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