1. [-/7.5 Points] DETAILS ASWESBE9 12.E.002.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise You may need to use the appropriate appendix table or technology to answer this question. Consider the observed frequencies. Observed Frequencies (f) Populations Response 1 2 3 Yes 120 120 66 No 130 180 134 (a) Compute the sample proportion of Yes responses for each population. (b) Use the multiple comparison procedure to determine which population proportions differ significantly. Use a 0.05 level of significance. (a) Compute the sample proportion of Yes responses for each population. The sample proportion, p, of the Yes responses for each population will be calculated using the Yes and No responses for the respective population as follows. sample proportion = yes responses yes and no responses Step 1 Recall the given data. Observed Frequencies (fj) Response Yes Populations 1 2 3 120 120 66 No 130 180 134 Let p represent the sample proportion of Yes responses for population 1, P2 represent the sample proportion of Yes responses for population 2, and p 3 represent the sample proportion of Yes responses for population 3. Find the sample proportions. P1 = 120130 = P2 II = 120+180 P3 = 66 + 134 || 2. [3.76/7.5 Points] DETAILS PREVIOUS ANSWERS ASWESBE9 12.E.010. You may need to use the appropriate technology to answer this question. The following table contains observed frequencies for a sample of 240. Column Variable Row Variable A B C P 20 30 20 Q 30 60 25 R 10 15 30 Test for independence of the row and column variables using = 0.05. State the null and alternative hypotheses. Ho: Variable P is independent of variables Q and R. H: Variable P is not independent of variables Q and R. Ho: The column variable is not independent of the row variable. Ha The column variable is independent of the row variable. Ho: The column variable is independent of the row variable. Ha : The column variable is not independent of the row variable. Ho: Variable P is not independent of variables Q and R. H: Variable P is independent of variables Q and R. 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 = 3. [3.76/7.5 Points] DETAILS PREVIOUS ANSWERS ASWESBE9 12.E.020. You may need to use the appropriate technology to answer this question. The following data are believed to have come from a normal distribution. 17 24 24 22 25 19 24 18 23 20 14 11 22 22 18 21 21 21 22 18 16 24 24 23 44 29 28 26 31 28 34 23 30 Use the goodness of fit test with six classes and = 0.05 to test this claim. State the null and alternative hypotheses. Ho: The population has a normal probability distribution. H: The data has a x distribution. Ho : The population has a normal probability distribution. : The data has a sampling mean distribution. Ha Ho: : The population has a normal probability distribution. Ha: The population does not have a normal probability distribution. Ho Ha : The population does not have a normal probability distribution. : The population has a normal probability distribution. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = 4. [3.75/7.5 Points] DETAILS PREVIOUS ANSWERS ASWESBE9 12.E.028. MY NOTES ASK YOUR TEAC You may need to use the appropriate technology to answer this question. A certain manufacturer is a producer of aluminum components for the avionics and automotive industries. At its plant, an engineer has conducted a quality-control test in which aluminum coils produced in all three shifts were inspected. The study was designed to determine if the population proportion of good parts was the same for all three shifts. Sample data follow. Production Shift Quality First Second Third Good 276 356 164 Defective 24 44 36 (a) Using a 0.05 level of significance, conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts. State the null and alternative hypotheses. Ho: At least two population proportions are equal. # Ha P1 P2 P3 = = Ho P1 P2 P3 H: Not all population proportions are equal. # Ho: P1 P2 P3 Ha: All population proportions are equal. Ho: Not all population proportions are equal. Ha: P1 = P = P3 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 = 2. [3.75/10 Points] DETAILS PREVIOUS ANSWERS ASWESBE9 12.E.003. MY NOTES You may need to use the appropriate technology to answer this question. The sample data below represent the number of late and on time flights for three airlines. Airline Flight 1 2 3 Late 51 56 On Time 261 249 344 (a) Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines. Ho: : All population proportions are not equal. = Ha P1 P2 P3 Ho: P1 = P2 = P3 H: Not all population proportions are equal. = = Ho P1 P2 P3 Ha: All population proportions are not equal. Ho : Not all population proportions are equal. = Ha P1 P2 P3 (b) Conduct the hypothesis test with a 0.05 level of significance. 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 = 0.3469 State your conclusion. Do not reject Ho. We conclude that not all of the population proportions are equal. Reject Ho. We cannot conclude that not all of the population proportions are equal. Do not reject Ho. We cannot conclude that not all of the population proportions are equal. Reject Ho. We conclude that not all of the population proportions are equal. (c) Compute the sample proportion of late flights for each airline. II = P2 P3 II || What is the overall proportion of late flights for the three airlines? p =