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Andreyy89
3 years ago
5

Find the​ P-value for the indicated hypothesis test with the given standardized test​ statistic, z. Decide whether to reject H0

for the given level of significance α. ​Two-tailed test with test statistic zequals=−2.28 and α=0.02.
Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer: We do not reject the null hypothesis.

Step-by-step explanation:

  • When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.

Given : Test statistic : z = -2.28

Significance level : \alpha=0.02

By using the standard normal distribution table ,

The p-value corresponds to the given test statistic ( two tailed ):-

2P(Z>|z|)=2P(Z>2.28)=0.0226

Since the p-value is greater than the significance level of 0.02.

Then , we do not reject the null hypothesis.

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