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Can you help me correct these questions? Part 2: Choosing Inference Procedures For each question below, you will get a prompt. The first task for
Can you help me correct these questions?
Part 2: Choosing Inference Procedures For each question below, you will get a prompt. The first task for each prompt is to name an inference procedure that makes sense for this situation AND explain briefly how you know that this inference procedure is appropriate. Then, there will be one follow-up question about each inference procedure. 1. Researchers from the Democratic National Committee wanted to test whether Democrats from northern states differ in opinion from Democrats in southern states. One question they asked concerned the size of government. In a random sample of 450 Democrats from northern states, 410 indicated that they agreed with the statement, "A larger federal government would be good for the country. In an independent random sample of 525 Democrats from southern states, 460 indicated that 3 they agreed with the same statement. a . Name the inference procedure that most makes sense for this prompt: Two sample z- test J count samples b. Briefly explain: They're asking me to verify the claim that "a larger ?_ means / poops? Federal government would be good for the country . " J damn or estimate ? c. Follow Up: Check the conditions for this inference procedure below. In other words, complete the "Plan" stage as if you were actually carrying out this procedure . Random: 450 Democrats from Northern states and s2s democrats from southern states were chosen randomly There are more than 4500 Democrats from the northern/ states and more than 5200 Democrats from the southern states Large Counts Condition nipi ZA, n. ( 1- P. ) 210 n2p2 210 n2 ( 1 - P2) 210 2 . Quality Control managers for GE regularly perform studies on their energy efficient appliances. Suppose they want to estimate the average annual energy consumption for a new dishwasher. In a random sample of 15 units of this dishwasher, the average energy consumption was 512.12 Watt-hours, with standard deviation 11.15 Watt-hours. interval a. Name the inference procedure that most makes sense for this prompt: one sample + - (test b. Briefly explain: We'll use the one sample +- test because we want to find 2 the average annual energy consumption for a new dishwasher c. Follow Up: Write the appropriate formula for the procedure you named above. Then, plug in each appropriate value to the formula. You do not need to evaluate or find the answer, just show all the correct numbers plugged in. P (I . P ) tests very claims3. Suppose that the Interval Revenue Service is examining the distribution of income tax brackets in the United States. In years past, the proportion of United States taxpayers whose highest income tax bracket was as follows: Bracket #1 Bracket #2 Bracket #3 Bracket #4 Bracket # 5 Bracket #6 Bracket #7 0.11 0.460 0.220 0.120 0.080 0.008 0.002 Note: Each bracket represents a range of taxable income. In a simple random sample of 1200 taxpayers, the following distribution was found: 7 proportions! not 1 Bracket #1 Bracket #2 Bracket #3 Bracket #4 Bracket #5 Bracket #6 Bracket # 7 121 602 58 209 140 62 8 Is there convincing evidence that the sample distribution matches the past distribution given above? * "- test for G. O. F . a. Name the inference procedure that most makes sense for this prompt: One -sample z - test X b . Briefly explain : we'll perform a one-sample z - test because we're bracket trying to find the difference between proportions of us taxpayers in each c. Follow Up: Write the null and alternative hypotheses for this situation below. Then, explain what a Type II Error would represent. You do NOT need to explain a potential consequence of the error. Ho ?pipZE A type II Error would represent that the sample PA : Pitpito a NonbutAN marches the poor control Is when it actually adoesn't Looks like a 2- sample z-test Type II - Fail to reject a false Ho. Refer to 4. An ecologist is trying to estimate the proportion of White Oaks in Vermont that have . certain fungal disease. The disease is your Ho known to slowly kill trees and may spread to other species. A random sample of 60 Vermont White Oaks found that 12 of them had the fungal disease. interval one sample a. Name the inference procedure that most makes sense for this prompt: confidence it b. Briefly explain: c. Follow Up: Suppose that the sample actually found 9 trees that had the fungal disease. In this case, at least one condition for inference would NOT be met. (Explain which condition is violated and show explain any work The ICC would not be triet. treStep by Step Solution
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