Independent random samples were selected from two quantitative populations, with sample data given below. Using the p-val approach for the data given below, is there sufficient evidence to show that , is larger than My at the 1% level of significance nj = 02 = 50, x1 = 125.1, *2 = 123.6, 51 = 5.5, 52 = 6.9 LA USE SALT Use the value of the test statistics 1.20 to calculate the p-value for the test. (Round your answer to four decimal places.) p-value = State your conclusion. O Ho is rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. O Ho is rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. O Ho is not rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2. O Ho is not rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean fo population 2. Is this result consistent with the one obtained using the critical value approach, with a = 0.01? O Yes O No You may need to use the appropriate appendix table to answer this question.Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 64 64 Sample Mean 4.0 5.2 Sample Variance 9.78 12.52 The value of the test statistic is -2.03. LA USE SALT Calculate the p-value for a test of significant difference in the population means for the given data. (Round your answer to four decimal places.) p-value = Use the p-value to test for a significant difference in the population means at the 5% significance level. O Ho is not rejected. There is sufficient evidence to indicate a difference in means. O Ho is rejected. There is insufficient evidence to indicate a difference in means. O Ho is not rejected. There is insufficient evidence to indicate a difference in means. O Ho is rejected. There is sufficient evidence to indicate a difference in means. Is this result consistent with the one obtained using the critical value approach, with a = 0.05? O Yes O No You may need to use the appropriate appendix table to answer this question.Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 32 47 Sample Mean 9.6 7.3 Sample Variance 10.73 16.59 State the null and alternative hypotheses used to test for a difference in the two population means. O Ho: (H1 - 12) 0 O Ho: (M1 - 12) = 0 versus Ha: (#1 - #2) 0 Calculate the necessary test statistic. (Round your answer to two decimal places.) Z = Calculate the rejection region with a = 0.01. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z Z Draw the appropriate conclusion. O Ho is not rejected. There is sufficient evidence to indicate a difference in mean. O Ho is not rejected. There is insufficient evidence to indicate a difference in mean. O Ho is rejected. There is insufficient evidence to indicate a difference in mean. O Ho is rejected. There is sufficient evidence to indicate a difference in mean. You may need to use the appropriate appendix table or technology to answer this