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Ebfr1

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Consider the following competing hypotheses and accompanying sample data. Use Table 1. Ho: P1-P2 = 0.20 HA: P1-P2 * 0.20 X1 = 135 n1 = 232 X2 = 130 n2 = 430 a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic b. Approximate the p-value. O O O.O p-value > 0.10 p-value < 0.01 0.01 s p-value < 0.025 0.025 s p-value < 0.05 0.05 s p-value < 0.10 c. At the 10% significance level, what is the conclusion? do not reject Ho; the population proportions do not differ by 0.20. Reject Ho; the population proportions do not differ by 0.20. Do not reject Ho; the population proportions differ by 0.20. Reject Ho; the population proportions differ by 0.20. d. Using the critical value approach, can we reject the null hypothesis at the 10% level? Yes, since the value of the test statistic is more than the critical value of 1.282. No, since the value of the test statistic is more than the critical value of 1.282. No, since the value of the test statistic is less than the critical value of 1.282. Yes, since the value of the test statistic is less than the critical value of 1.645. A sample of 20 paired observations generates the following data: a = 1.3 and s3 = 2.6. Assume a normal distribution. Use Table 2. a. Construct the 99% confidence interval for the mean difference PD. (Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is to b. Using the confidence interval, test whether the mean difference differs from zero. There is evidence that the mean difference differs from zero. There is no evidence that the mean difference differs from zero. Hints eBook & Resources Consider the following competing hypotheses: Use Table 2. Hypotheses: Ho: PD S 2; HAND > 2 Sample results: 2 = 6.7, SD = 7.6, n = 14 The following results are obtained using matched samples from two normally distributed populations: a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. Assume normality to approximate the p-value. 0.025 < p-value < 0.05 0.01 < p-value < 0.025 0.05 < p-value < 0.10 0.005 < p-value < 0.010 p-value < 0.005 b. Use the 5% significance level to make a conclusion. Do not reject Ho since the p-value is more than a. Reject Ho since the p-value is more than a. Do not reject Ho since the p-value is less than a. Reject Ho since the p-value is less than a.
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