You may need to use the appropriate appendix table or technology to answer this question. Consider the hypothesis test. Ho: P₁ P₂ ≤0 Ha: P₁ P₂ > 0 The following results are for independent samples taken from the two populations. Sample 1 01 = 200 P₁ = 0.24 Sample 2 n2 P₂ = 300 = 0.14 (a) Calculate the test statistic. (Round your answer to two decimal places.) 2.86 x You may have rounded in the wrong direction.

Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"

Use the sample data below to test the hypotheses Comparison 1 vs 2 1 vs 3 2 vs 3 Pi Pj |Absolutel Difference ni Response Yes No Ho: P1 P2 P3 Ha Not all population proportions are the same nj 1 Critical Value 150 100 Populations where p, is the population proportion of yes responses for population i. Using a 0.05 level of significance. a. Compute the sample proportion for each population. Round your answers to two decimal places. P1 = P₂ = P3 = b. Use the multiple comparison procedure to determine which population proportions differ significantly. Use a 0.05 level of significance. Round P₁, P₁, and absolute difference to two decimal places. Use Table 3 of Appendix B. 2 150 150 Significant if | Diff| > CV 3 Select your answer - - Select your answer - Select your answer - 95 105

You may need to use the appropriate technology to answer this question. Use the sample data below to test the hypotheses Ho:P1 = P2 = P3 H3i not all population proportions are equal where p, is the population proportion of Yes responses for population i. Populations Response 1 3 Yes 140 150 106 No 90 150 114 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value Using a 0.05 level of significance, state your conclusion. O Do not reject Ho. We conclude that not all population proportions are equal. Do not reject Ho: We cannot conclude that not all population proportions are equal. Reject Ho. We conclude that not all population proportions are equal. O Reject Ho: We cannot conclude that not all population proportions are equal.

Please answer the last 2 questions.