13. Use a significance level of ? = 0.05 to test the claim that ? = 19.6. The sample data consist of 10 scores for which x? = 20.1 and s = 4.1. State the null and alternative hypotheses, compute the value of the test statistic, and find the P-value for the sample. State your conclusion. Compare the claim. A. H0: ? = 19.6 H1: ? ? 19.6 Test statistic: t = 0.3856, P–Value: P = 0.3541. Accept H0: ? = 19.6. Since P > ?, there is not sufficient evidence to support the claim that the mean is different from 19.6. B. H0: ? = 19.6 H1: ? > 19.6 Test statistic: t = 0.3856, P–Value: P = 0.7087. Accept H0: ? = 19.6. Since P > ?, there is not sufficient evidence to support the claim that the mean is different from 19.6. C. H0: ? = 20.1 H1: ? ? 20.1 Test statistic: t = 20.1, P–Value: P = 0.7087. Accept H0: ? = 19.6. Since P > ?, there is not sufficient evidence to support the claim that the mean is different from 20.1. D. H0: ? = 19.6 H1: ? ? 19.6 Test statistic: t = 0.3856, P–Value: P = 0.7087. Reject H0: ? = 19.6. Since P > ?, there is not sufficient evidence to support the claim that the mean is different from 19.6. E. H0: ? = 19.6 H1: ? < 19.6 Test statistic: t = 0.3856, P–Value: P = 0.7087. Accept H0: ? = 19.6. Since P > ?, there is sufficient evidence to support the claim that the mean is different from 19.6. 14. When you are testing hypotheses by using proportions, what are the necessary requirements? A. npq ? 5 B. n = pq C. The population is not normally distributed. D. np ? 5 and nq ? 5 E. p = 1 - n
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