number 10 Testing Claims About Proportions. In Exercises 9-32, test the given claim. Identifythe null hypothesis, alternative bypothesis, test statistic, P-value or critical value(s), conclu-sion about the null hypothesis, and final conclusion that addresses the original claim. Usethe P-value method unless your instructor specifies otherwise. Use the normal distributionas an approximation to the binomial distribution (as described in Part 1 of this section).10. M&Ms Data Set 20 in Appendix B lists data from 100 M&Ms, and 8% of them arebrown. Use a 0.05 significance level to test the claim of the Mars candy company that thepercentage of brown M&Ms is equal to 13%.

Name: number 10 Testing Claims About Proportions. In Exercises 9-32, test th
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Description: number 10 Testing Claims About Proportions. In Exercises 9-32, test the given claim. Identifythe null hypothesis, alternative bypothesis, test statistic, P-value or critical value(s), conclu-sion about the null hypothesis, and final conclusion that a

10. Let p is defined as the population proportion of brown M&Ms. The claim of the Mars candy company that the percentage of brown M&Ms is equal to 13%. The hypothesis is, Null hypothesis: H0:p=0.13 Alternative hypothesis: H1:p≠0.13 The sample size is 100, and sample proportion is 8%. The test statistic is, z=p^-pp1-pn=0.08-0.130.131-0.13100=-0.050.0336=-1.49 Thus, the test test statistic is -1.49.The hypothesis is two tail. The P-value for two tailed test is, P-value=Pz<-1.49 or z>-1.49=2×Pz<-1.49 The probability of z less than –1.49 can be obtained using the excel formula “=NORM.S.DIST(–1.49,TRUE)”. The probability value is 0.0681. The required P-value is, P-value=2×Pz<-1.49=2×0.0681=0.1362 Thus, the P-value is 0.1362. Decision rule: If P-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: The P-value (0.1362) is greater than the level of significance (0.05). Based on decision rule, fail to reject the null hypothesis. Thus, there is sufficient evidence that the claim of the Mars candy company that the percentage of brown M&Ms is equal to 13%.