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I need help with this attached stats assignment asap Investigation Chapter 2: Cell phones while driving Drivers today have many more distractions to deal with
I need help with this attached stats assignment asap
Investigation Chapter 2: Cell phones while driving Drivers today have many more distractions to deal with than drivers of a century ago. Let's focus on new drivers, aged 16 to 17. Do you think a majority of drivers aged 16 to 17 have ever talked on the cell phone while driving? Step 1: Ask a research question 1. Identify the research question and state it as a conjecture. Step 2: Design a study and collect data To help answer this question a Pew Research (2009) conducted a survey of nationally representative 242 cell phone users, ages 16 to 17 years, and asked whether they had ever talked on the cell phone while driving. 2. What are the observational units? 3. What is the variable that is measured/recorded on each observational unit? 4. 5. Describe the parameter of interest in words. (You can use the symbol to represent this parameter.) State the appropriate null and alternative hypotheses to be tested. The survey found that 52% of the 242 16 to 17 year-olds had talked on the phone while driving. Step 3: Explore the data 6. How many of the 16 to 17 year-olds in the sample have ever talked on their cell phone while driving? Step 4: Draw inferences Let's use our 3S strategy to help us investigate how much evidence the sample data provide to support our conjecture that a majority of 16 to 17 year-olds have talked on their cell phone while driving. Statistic 7. What is the statistic that you can use to summarize the data collected in the study? 8. Is the sample proportion who have talked on their cell phone while driving greater than 0.50? (If not, there's no need to conduct a simulation analysis. You will have no evidence that a majority of drivers aged 16 to 17 have ever talked on the cell phone while driving.) Simulate 9. If we assume that each driver is equally as likely to have talked on the cell phone while diving as not, what is the chance that an individual will have talked on the cell phone while driving? 10. Is it possible that we could observe the statistic from this sample of 242 drivers even if all of the drivers were just as likely as not to have talked on the cell phone while driving? Why? . 11. Use the One Proportion applet to simulate 1000 repetitions of this study, assuming that every driver is just as likely to talk on the cell phone as not while driving. Report what values you input into the applet. 12. What is the center of your simulated null distribution? Does it make sense that this is the center? Explain. Strength of evidence 13. Based on the dotplot generated using the 1000 possible values of the statistic, what values would you consider typical values and what would you consider atypical values of the statistic when the chance model is true? 14. How do the actual study results compare to the null distribution obtained when simulating the chance model? Do you believe the study results provide convincing evidence against the \"equally likely to talk on the cell phone as not\" hypothesis? Why or why not? 15. Determine the approximate p-value from your simulation analysis. Also interpret what this p-value represents (i.e., the probability of what, assuming what?). 16. Summarize the conclusion that you draw from this study and your simulation analysis. Also explain the reasoning process behind your conclusion. 17. You should have seen that 0.50 is a plausible value for the true proportion of all 16 to 17 year olds who've used their cell phones while driving. Does this prove that 0.50 is the true value? 18. Use the One Proportion applet to create an interval of plausible values with 95% confidence for the population proportion of drivers 16 to 17 who have ever talked on a cell phone while driving. Do this by putting different values in for and seeing whether or not they are plausible. 19. Now use the One Proportion applet to create an interval of plausible values with 95% confidence for the population proportion of drivers 16 to 17 who have ever talked on a cell phone while driving, using the 2SD method. a) What is the interval? b) How does your confidence interval using the 2SD method and = 0.50 compare to the confidence interval of plausible values you found in question 18? c) Without doing extensive work, find the 95% confidence interval for the proportion of drivers aged 16 to 17 who have NOT talked on the cell phone while driving. 20. Finally, use the Theory-Based Inference applet to find a 95% confidence interval for the population proportion of proportion of drivers 16 to 17 who have ever talked on a cell phone while driving. ' a) What is the interval? b) How does this interval compare to the ones you found in 19a and 18? Why would you expect that? 21. What would happen to your 95% confidence intervals if the sample size had been 1000 instead of 242, but still 52% of your sample stated they had talked on a cell phone while driving? Use the applet to confirm your answer. 22. If you were to construct a 99% confidence interval like the 95% confidence interval you constructed in question 18 by testing different values for and seeing whether or not they are plausible, how would the width of the 99% confidence interval compare to that of the 95% confidence interval? Find this 99% confidence interval to back up your claim. Step 5: Formulate conclusions 23. Now, let's step back a bit and think about the scope of our inference. What are the wider implications? Do you think that your conclusion holds true for people in general? (These are extremely important questions, that we'll discuss more when we talk about the scope of inference in Chapter 3.) Step 6: Look back and ahead 24. Summarize your findings. If you were to repeat this study, are there any changes or improvements you would make? What additional questions might you be interested in askingStep by Step Solution
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