The results of a trial involving an experimental vaccine for children are shown below. Developed flu Did not develop flu 1056 14 Vaccine treatment Placebo 95 437 a. State the relevant null and alternative hypotheses. b. Conduct the appropriate test and state a conclusion. Use a significance level of 0.10. ..... OC. Ho: Treatment method and flu development have non-equal proportions. HA: Treatment method and flu development have equal proportions. O D. Ho: Treatment method is independent of flu development. HA: There is a relationship between treatment method and development of flu. b. Calculate the test statistic. x = (Round to three decimal places as needed.) Calculate the p-value. p-value = (Round to four decimal places as needed.) Determine a conclusion. Choose the correct answer below. O A. Do not reject the null hypothesis. Titere is insufficient evidence to conclude treatment method and flu development are not independent. O B. Reject the null hypothesis. There is insufficient evidence to conclude treatment method and flu development are not independent. OC. Do not reject the null hypothesis. There is sufficient evidence to conclude that treatment method and flu development are not independent. D. Reject the null hypothesis. There is sufficient evidence to conclude that treatment method and flu development are not independent.

A sample is selected from a normal population, and resulting data are as follows: 45.2, 51.5, 49.4, 48.9, 52.4, 40.0 Does this data suggest that the population mean is greater than 50? Use a = 0.05. a. State the appropriate hypotheses.. b. Calculate the value of the test statistic. c. Determine the rejection region. d. What is your conclusion? Interpret your conclusion.

Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 µg/g. Assume that the sample is a simple random sample. 19 7.5 3 14 8 15 6 22.5 22.5 21.5 O Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? Ο Α. Η0: μ= 18 μαg Ο Β. Η μ= 18 μgg H1: µ> 18 µg/g H: µ# 18 µg/g OC. Ho: H= 18 µg/g Ο D. Ho: μ> 18 μgg H,: µ< 18 µg/g H,: µ< 18 µg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the mean lead concentration for all such medicines is 18 μgg. Reject Fail to reject

Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 ug/g. Assume that the sample is a simple random sample. 20.5 12.5 12.5 4.5 4.5 19 18 18.5 16 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho p> 16 pg/g H p 16 ug/g %3D O C. Ho p= 16 pg/g H p#16 pg/g D. Ho =16 pg/g H1:p<16 ug/g Determine the test statistic. - 1.42 (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)