known ✓oth populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to support the claim that the mean annual income, μ₁, of childcare workers in Texas is less than the mean annual income, μ₂, of childcare workers in Indiana? Perform a one-tailed test. The complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. HO H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we support the claim that the mean annual income of childcare workers. in Texas is less than the mean annual income of childcare workers in Indiana? O Yes No μ |x 9. ローロ * X. a S 2 OSO

rength of concrete: The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as follows. Can you conclude that the mean strength after three days differs from the mean strength after six days? Let H, represent the mean strength after three days and P =H, -P. Use the a=0.01 level and the P-value method with the TI-84 Plus calculator. Block 1 4 After 3 days 1317 1363 1321 1333 1311 After 6 days 1382 1341 1327 1342 1386 Send data to Excel Part 1 of 4 (a) State the null and alternate hypotheses. H: This hypothesis test is a (Choose one) v test. Part 2 of 4 (b) Compute the P-value. Round the answer to at least four decimal places. P-value = Part 3 of 4 Determine whether to reject Ho. (Choose one) v the null hypothesis. Part 4 of 4 (c) State a conclusion. There (Choose one) v enough evidence to conclude that the mean strength after three days differs from the mean strength after six…

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A survey of 100 senior citizens was undertaken and it was found that 9 of them had the flu vaccine this year. Do these data suggest that the proportion of senior citizens who get the flu vaccine is significantly less than 12 % ? Test at a = 0.10. Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? Hint: Make sure you are rounding your answer to three decimal places. 0.923 X Using your answer from the previous question, find the p-value. What is the critical value for this test? Part 2