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## Statistics- Test H0: 8 versus HA: > 8, given = 0.01, n = 25

Essay Questions:1. Test H0: 8 versus HA: > 8, given = 0.01, n = 25,Â´X= 8.13 and s = 0.3. Assume thesample is selected from a normally distributed population.2. Test H0: π = 0.25 versus HA: π 0.25 with p = 0.33 and n = 100 at alpha = 0.05 and 0.10.3. Test at α = 0.01 the hypothesis that a majority (more than 50%) of students favor theplus/minus grading system at a university if in a random sample of 500 students, 285 favor thesystem?Multiple Choice:4. When carrying out a large sample test of H0: 10 vs. Ha: > 10 by using a critical valueapproach, we reject H0 at level of significance when the calculated test statistic is:A. Less than zB. Less than – zC. Greater than zD. Greater than z/2E. Less than the p value5. If you live in California, the decision to buy earthquake insurance is an important one. Asurvey revealed that only 133 of 337 randomly selected residences in one California county wereprotected by earthquake insurance. Calculate the appropriate test statistic to test the hypothesiswhich leads to the alternate hypothesis that less than 40% of the residents are protected byearthquake insurance?A. – 0.20B. 0.40C. -0.13D. 0.20E. -0.40

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