4-6 hypothesis testing Chapter 8 Review Exercises 4. Normality For the test in E

Question

4-6
hypothesis testing

Chapter 8 Review Exercises 4. Normality For the test in Exercise 1, what does it mean when we say that the test hypothesis is robust against departures from normality? 5. Death Penalty Poll In a recent Gallup poll of 511 adults, 64% said that they were in favor of the death penalty for a person convicted of murder. We want to use a 0.01 signifi- cance level to test the claim that the majority of adults are in favor of the death penalty for a person convicted of murder. a. Identify the null and alternative hypotheses. b. Find the value of the test statistic. c. nology is used to find this P value: 1.263996E 10. Express the F value in ordinary notation, then determine what we should conclude about the original claim. 6, P. value Find the value in a test of the claim that the mean lQ score of acupuncturists is equal to 100, given that the test statistic is z -2.00.

Explanation / Answer

here null hypothesis: mean =0.5

alternate hypothesis: mean >0.5

b) std error =(p(1-p)/n)1/2 where n=511

=0.022

phat=0.64

hence test stat z=(phat-p)/std error =(0.64-0.5)/0.022 =6.3295

c)p value=0.0000 ; as p vlaue is less then 0.01 level we reject null hypothesis and conclude that majority of adults are in favour of death penalty for a person convicted of murder.

6)here as it is two tailed hypothesis: p value =0.0455

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