You are conducting a test of independence for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data. Population #2 Population #1 Category 40 130 В 19 67 The expected observations for this table would be Population Population #1 Category #2 A What is the chi-square test-statistic for this data? x² = Report all answers accurate to three decimal places.

Just answer question number 1 Answers: 1. 2 vs. 3, q = 6.74, Reject H0, the mean scores of groups 2 and 3 differ significantly; 2 vs. 4, q = 2.04, Do not reject H0, there is no evidence for a significant difference between the mean scores of groups 2 and 4; 2 vs. 1, q = 5.62, Reject H0, the mean scores of groups 2 and 1 differ significantly.

You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 .      Ho:μ1=μ2  Ha:μ1≠μ2   You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5   What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α     greater than α   This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. There is not sufficient…

You wish to test the following claim (��) at a significance level of �=0.002.      ��:�1=�2      ��:�1≠�2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 50.2 77.2 87.1 65 64.2 58.4 78 60.5 72.6 53.1 51.2 75.6 64.2 93.6 68.6 63.8 71.9 74.9 74.5 54.6   59.2 61.8 90.1 73.6 55.4 62.6 68.6 71.6 67.9 87.3 51.9 85.2 81.3 76.3 54 59.6 59.6 88.6 50.8     What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value =