Please Type Your Answers In A Different Color Or Handwrite Your Answers If You Need To Use Symbols You Should Either Us 1 (217.97 KiB) Viewed 92 times
Please Type Your Answers In A Different Color Or Handwrite Your Answers If You Need To Use Symbols You Should Either Us 2 (77.3 KiB) Viewed 92 times
Please type your answers in a different color or handwrite your answers if you need to use symbols, you should either use the equation editor or handwrite them If you prefer, you can submit screenshots of applets as an appendix but be sure to clearly label which picture goes with which question You may use your book, notes, and our class online resources (Wileylus arghitspace Textbook applets site), but should not use other resources ar discuss this woners Please type your answers in a different color of handwrite scar shem Many studies have investigated the question of whether people tend to think of an odd number when they are asked to think of a single-digit number (O through 9). The researchers suspected that in particular people tend to choose the numbers 3 and 7 more often than we would expect if they were choosing at random. In a random sample of 730 American adults, 168 chose either 3 or 7 when asked to pick a one-digit number. Step 1: State the research question. Step 2: Design Study and Collect Data a. Identify the observational units and sample size. b. What is the variable? Is it categorical-binary, categorical-non-binary, or quantitative? C. Describe the parameter of interest in words and give the symbol for the parameter. d. If a person was indeed picking a one-digit number at random, what would be the probability that he/she would pick a 3 or 7? e. State the null hypothesis H, and alternative hypothesis H, in words and symbols. Step 3: Explore the data a. Compute the appropriate sample statistic and indicate how it is represented in symbols. b. Draw an appropriate visual display (e.g., bar graph or dot plot). Step 4: Draw inferences beyond the data a. Significance Test: Use the one-proportion applet to conduct a significance test. i. Include a screenshot of the entire screen of the applet including your entries for the various boxes and the applet output. li. Report the value of the p-value. iii. Apply the p-value to determine the strength of evidence conclusion and explain what this means in terms of your hypotheses in step 2. iv. Does the sample statistic from this study seem to occur often or rarely if the null hypothesis is true? And, what does that tell us about which hypothesis is the more plausible?
b. Standardized Statistic: 1. Calculate the z-score by hand (showing your work). ii. Interpret what the value of the Z-score represents in the context of this problem in a sentence. ill. Does this agree with your p-value in terms of strength of evidence? c. Confidence Interval: i. Find a 95% confidence interval using the 2SD method by hand (showing your work). ii. Interpret what the confidence interval estimates. iii. Explain how it supports the p-value you found. d. Theory-Based Method: Explain whether or not the validity conditions are met to use a theory-based test; make sure your explanation is specific to this scenario. Step 5: Formulate conclusions a. Explain whether or not your results can be generalized to a larger group. If not, explain why not. If so, explain why and identify the population of interest. I Step 6: in 1 sentence explain what Step 6 is in the six-step method of statistical analysis we have been using this term a. Summary Paragraph: Write a short paragraph that uses key information from your statistical analysis of the data to answer the original research question.
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