We have given the value obtained for the test statistic, z, in a one-mean z-test. We have also specified whether the test is two tailed, left tailed, or right tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. Two-tailed test: a. z = 3.08 b. z = −2.42
We have given the value obtained for the test statistic, z, in a one-mean z-test. We have also specified whether the test is two tailed, left tailed, or right tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
Two-tailed test:
a. z = 3.08
b. z = −2.42
Steps for P-value in calculator:
- Open the P value from Z score calculator.
- Then type the value of z.
- Then mention the
- Then hypothesis is right tailed, left or two tailed.
- click ok.
The P value is 0.00207
And the value is 0.05
The P-value is the probability that provides strong evidence in favor of the alternative hypothesis.
The P-value is less than specified level of significance, i.e, 0.05. Therefore, the null hypothesis is rejected at 5% level of significance.
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