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Given the following null and alternative hypotheses, the test statistic from the sample data is z=1.875z=1.875....

Given the following null and alternative hypotheses, the test statistic from the sample data is z=1.875z=1.875. If the significance level of 0.05 which results in a critical value of 1.645, what is the conclusion as it relates to the null hypothesis?

H0:p=0.22
H1:p>0.22

  • Fail to reject the alternative hypothesis
  • Reject the null hypothesis
  • Fail to reject the null hypothesis
  • Support the null hypothesis
math   Statistics-And-Probability   
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Answer #1

We have to test

Ho : p = 0.22 Vs H1 : p > 0.22

We are given

Z stat = 1.875 and Z critical = 1.645

Decision rule : if Z stat > Z critical we reject the null hypothesis otherwise we fail to reject the null hypothesis

Our Z stat = 1.875 > 1.645

Conclusion : Reject the null hypothesis

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