What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic =  What is the PP-value for this sample? (Report answer accurate to four decimal places.) PP-value =  The PP-value is: choose one of two possible answers less than (or equal to) αα greater than αα This test statistic leads to a decision to: choose one of three possible answers. reject the null accept the null fail to reject the null As such, the final conclusion is that: choose one of four possible answers. There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.14. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.14. The sample data support the claim that the population proportion is greater than 0.14. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.14.

Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed​populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.01 significance level for both parts.     Diet Regular   μ μ1 μ2 n 33 33 x 0.78488 lb 0.80356 lb s 0.00444 lb 0.00744 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. i) What are the null alternative hypothesis?   ii) What's the test statics?   iii) What's the P-value?   iv) State the conclusion   vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean   vii) Does the confidence interval…

You wish to test the following claim (HaHa) at a significance level of α=0.05      Ho:μ1=μ2      Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=23 with a mean of ¯x1=74.5 and a standard deviation of SD1=20.4 from the first population. You obtain a sample of size n2=11with a mean of ¯x2=89.8and a standard deviation of SD2=7.3 from the second population.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? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα 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…

A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative​ hypotheses? What is the test​ statistic, t? What is the​ P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.