Statistics questions. homework help

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Here is the assignment displayed down below. Each question is clear and understandable. Thanks.

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Introduction Hypothesis Testing 1. Describe (in detail) what is involved in the process of statistical inference. (Use complete sentences; Hint: refer to the last page of this document) 2. In order for a dose of Hepatitis medicine to improve the condition of Hepatitis patients, the proportion of the antibiotic in the dose needs to be precisely 40%. If the proportion of antibiotic is more or less than 40%, the patients will die. Merck, a manufacturer of the medicine, wants to determine if the proportion of antibiotic in the doses that are currently manufactured is different than 40%. If the determination is that there is a difference from 40%, Merck will spend fifty million dollars to improve the manufacturing process. a. State the null and alternative hypotheses that Merck would test. Use symbols in the hypotheses and define the parameter. Ho: Ha: b. State the Type I error for this example. (3 pts) Type I error: reject Ho when Ho is true(definition) c. State the Type II error for this example. (3 pts) Type II error: Fail to reject Ho when Ho is false(definition) d. If you were a Hepatitis patient, which of the following probabilities would you select? Explain. Circle your answer. (4 pts) 1. α = 0.15 and β = 0.01 2. α = 0.01 and β = 0.15 3. In order for oil to be labeled “no trans-fat,” the mean trans-fat content per serving should be less than 0.4 milligrams. A new type of oil was developed, and marketing was hopeful that the oil would meet the “ no trans-fat” criteria. Let  represent the mean trans-fat content per serving for the new oil. The following are the hypotheses: Ho:  = 0.4 mg (The new oil does not meet the “ no trans-fat” criteria.) Ha:  < 0.4 mg (The new oil meets the “ no trans-fat” criteria.) a. State the Type I error for this example. (3 pts) Type I error: reject Ho when Ho is true(definition) b. State the Type II error for this example. (3 pts) Type II error: Fail to reject Ho when Ho is false(definition) 1 c. Which type of error would a consumer who is on a no trans-fat diet view as more serious? Explain. (3 pts) Hypothesis testing involves 5 main steps: (1) Stating hypotheses, alpha, and defining the parameter, (2) Computing the test statistic, (3) Determining the p-value, (4) Making a decision, and (5) Stating a conclusion. Defining the parameter and stating hypotheses and alpha 4. What is the difference between the null and alternative hypotheses? What does alpha represent? 5. The proportion of professional baseball players who take steroids has been assumed to be twenty percent by the team owner council. The Commissioner of Baseball has instituted a new campaign to reduce the proportion of players who take steroids. The Commissioner would now like to test whether their campaign has worked. (α = 0.05) State the null and alternative hypotheses that the Commissioner would test. Use symbols in the hypotheses. State alpha and define the parameter. (7 pts) Ho: p = 0.2 (.) Ha: p < 0.2 (.) 6. Time Magazine states that the nationwide drop out rate for high school seniors is ten percent. You conduct a test to see if the drop out rate for high school seniors is actually more than ten percent. ( α = 0.01) a. State the null and alternative hypotheses for this test. Use symbols in the hypotheses. State alpha and define the parameter. 7. The Maryland Department of Health claims that the proportion of heroin users in Maryland that have been infected by HIV is four percent. Suppose a researcher wants to show that this claim is not true. ( α = 0.1). State the null and alternative hypotheses to dispute the Maryland Department of Health’s claim. Use symbols in the hypotheses. State alpha and define the parameter. Ho: Ha: 2 Computing the test statistic 8. Do test statistics always have to be positive? Explain. 9. Time Magazine states that the drop out rate for high school seniors is ten percent. You conduct a test to see if the drop out rate for high school seniors is actually more than ten percent. One hundred high school seniors were randomly selected to see whether they had dropped out. The number of these high school seniors who dropped out is 15. Calculate the test statistic. (α = 0.05) 10. The Maryland Department of Health claims that the proportion of heroin users in Maryland that have been infected by HIV is four percent. Suppose a researcher wants to show that this claim is not true. The researcher randomly selects 1000 Maryland heroin users and finds that 80 have been infected with HIV. Calculate the test statistic. (α = 0.1) Determining the p-value 11. What does the p-value represent? 12. What information is needed to calculate a p-value? 13. Time Magazine states that the drop out rate for high school seniors is ten percent. You conduct a test to see if the drop out rate for high school seniors is actually more than ten percent. One hundred high school seniors were randomly selected to see if they had dropped out. The number of these high school seniors who dropped out is 15. Determine the p-value using the answer to question 9. Draw the graph. (α =0.01) (4 pts) 14. The Maryland Department of Health claims that the proportion of heroin users in Maryland that have been infected by HIV is five percent. Suppose a researcher wants to show that this claim is not true. The researcher randomly selects 100 Maryland heroin users and finds that 80 have been infected with HIV. Determine the p-value using the answer question 10. Draw the graph.(α = 0.1) Making a decision 15. Name the two possible decisions that can be made in a hypothesis test. 16. Explain how a decision is made in hypothesis testing. 17. Refer to question 13. Time Magazine states that the drop out rate for high school seniors is ten percent. You conduct a test to see if the drop out rate for high school seniors is actually more than ten percent. One hundred high school seniors were randomly selected to see whether they dropped out. The number of these high school seniors who dropped out is 5. Use the information and answer from question 13 to make a decision. What is the decision? Explain. (α = .01) 18. Refer to question 14. The Maryland Department of Health claims that the proportion of heroin in Maryland that have been infected by HIV is four percent. Suppose a researcher 3 wants to show that this claim is not true. The researcher randomly selects 10000 Maryland heroin users and finds that 80 have been infected with HIV. Use the information and answer from question 14 to make a decision. What is the decision? Explain. (α = 0.1) Stating a conclusion 19. How are conclusions made? 20. Refer to questions 13 and 17. Using the decision from question 17, state the proper conclusion for this hypothesis test. 21. Refer to questions 14 and 18. Using the decision from question 18, state the proper conclusion for this hypothesis test. 22. Time Magazine states that the drop out rate for high school seniors is ten percent. You conduct a test to see if the drop out rate for high school seniors is actually more than ten percent. One hundred high school seniors were randomly selected to see whether they had dropped out. The number of these high school seniors who dropped out is 15. Calculate the test statistic. (α = 0.05) 4
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Explanation & Answer

Hi again, I've completed the statistics assignment for you. There are a couple things to note though. 1. Throughout the different steps, the alpha value for the high school drop out question was not consistent, jumping from alpha=.01 to alpha=.05 and back to alpha=.01 I believe this was a typo so I stuck with alpha=.01.2. I also noticed that the number of dropouts went from 15 to 5 and the number of heroin users from 100 to 10000 in the 'making a decision' step. I believe that these were also just typos so I stuck with 15 dropouts, and 100 heroin users throughout every step of the hw assignment. 3. Lastly, the last question (22.) seems to be a repeat, if I am wrong please let me know. I have uploaded the assignment with my answers in red! I would love to help on the additional assignment, however, I would suggest submitting a new question. Please let me know if you have any further questions regarding the work I have done for you! Thank you so much for letting me assist you on your stats, I had fun :) Nerdy I know. haha

Introduction Hypothesis Testing
1. Describe (in detail) what is involved in the process of statistical inference. (Use complete
sentences; Hint: refer to the last page of this document)
For process of statistical inference will start with stating the null and alternative hypothesis.
Next, set a confidence level and construct a contingency table breaking down the error
possibilities. Then the information from the sample needs to summarized by means of
calculating test statistics. From these parameters, you will need to make inferences by
determining whether you wil...


Anonymous
I was struggling with this subject, and this helped me a ton!

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