Which of the following is the null hypothesis for a two sample t test?     a. µ1 ≠ µ2     b. µ1 < µ2     c. µ1 > µ2     d. µ1 = µ2

Find the standardized test statistic estimate, z, to test the hypothesis that p1 > p2. Use α = 0.01. The sample statistics listed below are from independent samples. Sample statistics: n1 = 100, x1 = 38, and n2 = 140, x2 = 50 a.0.638 b.0.362 c.2.116 d.1.324

Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.01 significance level.The alternative hypothesis would be:   μ<0.8μ<0.8 p>0.8p>0.8 μ>0.8μ>0.8 μ≠0.8μ≠0.8 p<0.8p<0.8 p≠0.8p≠0.8 The test is:   right-tailed two-tailed left-tailed Based on a sample of 400 people, 71% owned catsThe test statistic is:  (to 2 decimals)The p-value is:  (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis The conclusion is: At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly greater than 80 percent. At the 0.01 alpha level, I was unable to show that the proportion of people who own cats is significantly different than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people who own cats is significantly greater than 80 percent. At the 0.01 alpha level, I was able to show that the proportion of people…

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…

Determine the test statistic. Determine P-value Reject or Fail to reject?

What is the standard error for the independent sample t statistic for the two samples?             Sample 1 n = 6, SS = 56             Sample 2 n = 4, SS = 40 Select one: 2.24 9.6 12 5

The t test for the difference between the means of two independent populations assumes that the respective Seleccione una: O A. populations are approximately normal. В. sample sizes are equal. С. sample variances are equal. O D. all of the above