Using the data shown in the accompanying contingency table, test whether the population proportions differ at the = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples are dependent and were obtained randomly. Click the icon to view the contingency table. (a) Let p, represent the proportion of success for treatment A and p, represent the proportion of success for treatment B. What are the null and alternative hypotheses? OA. Ho: P1 = P2 H1: P1 #P2 O B. Ho: P1 =P2 H1: P1 > P2 O C. Ho: P1 =P2 H1: P1

In each situation, find the value of the t-statistic for the sample mean x and give the value of degrees of freedom (df). (a) x = 6, µ = 12, o = 24, n = 25 t = df = (b) x = 18, u = 12, o = 24, n = 25 t = df =

A dietitian wishes to see if a person's cholesterol level will change if the diet is supplemented by a certain mineral. Seven subjects were pretested and then took the mineral supplement for a six-week period. The results are shown below in the table. Use a paired samples t-chart at a = 0.01 significance level to see difference (Before - After) between the cholesterol levels. State the hypotheses and conclusion. Also, conduct a 99% confidence interval. Subject 1 Before 210 After 190 2 205 170 3 208 210 4 192 188 5 178 173 6 244 228 7 211 198

A teacher would like to determine if quiz scores improve after completion of a worksheet. The students take a pre-quiz before the worksheet and then another quiz after the worksheet. (Pre-quiz score - Post-quiz score) Assume quiz scores are normally distributed. The grades for each quiz are given below. Use a significance level of a = 0.05. H₂: Hd = 0 Ha: Hd <0 pre-quiz 12 16 17 16 11 15 12 7 15 13 post-quiz 13 16 15 16 14 15 13 9 14 15 What is the test statistic? test statistic = (Report answer accurate to 2 decimal places.) What is the p-value for this sample? p-value= (Report answer accurate to 3 decimal places.) The correct decision is to Select an answer Conclusion: Select an answer that the worksheet improved quiz scores.

Use the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. Sample data:   x¯=32.4 mi s=8.3 mi n=35   Identify the tail of the test.       Find the P-value        Will the null hypothesis be rejected?      Is the initial claim supported?