# A1 Business and Technical College Elementary Statistics Worksheet

QUESTION 11.1. State the research question

QUESTION 2

1.2. Who or what are the observational units?

QUESTION 3

1.3. What is the variable that is measured on each observational unit?

QUESTION 4

1.4. Describe the parameter in words.

QUESTION 5

1.5 a. State the Null Hypothesis

QUESTION 6

1.5 b. State the Alternative Hypothesis

QUESTION 7

1.6. How many cell phone users in the sample have talked on their phone while driving?

QUESTION 8

1.7. State the sample proportion

QUESTION 9

1.8. Is the sample proportion greater than 0.5?

QUESTION 10

1.9. If we assume that it is equally likely that a 16 to 17 year old talked or did not talk on the phone while

driving, what is the chance that a randomly selected 16-17 year old would have talked on the phone while

driving?

QUESTION 11

1.10. Is it possible that we could have obtained a sample statistic like ours if it is equally likely that any

given 16 to 17 year old driver has talked on the phone while driving?

QUESTION 12

1.Use the One Proportion Applet to simulate 1000 repetitions of this study. State what you would enter

into the following three blanks of the applet:

•Probability of Heads

•Number of Tosses

•Number of Repititions

QUESTION 13

1.12. Based on your simulated dotplot answer the following:

•What is the center of your simulated distribution?

•Does it makes sense that this is the center?

•explain

QUESTION 14

1.13. Based on your dotplot, what results look like typical sample proportions? what results look like

atypical sample proportions?

QUESTION 15

1.14. Does your sample proportion appear to be typical or atypical? Therefore does there appear to be

strong evidence against the null hypothesis?

QUESTION 16

1.15. state the p-value from your simulation

QUESTION 17

1.16. State how much evidence there is against the null hypothesis and state a conclusion about 16 to 17

year old cell phone users

QUESTION 18

1.17. You should have seen that 0.5 is a plausible value for the true proportion of 16 to 17 year old cell

phone users who have talked on the phone while driving. Does this prove that 0.5 is the exact proportion?

QUESTION 19

1.18. Use the One Proportion Applet to create a 95% confidence interval for the proportion of all 16 to

17 year olds who have talked on the phone while driving by using the plausible values method from section

3.1 (repeated hypothesis tests with different values of pi)

QUESTION 20

1.19. Create a simulated 2SD confidence interval for the parameter. Is this interval similar to the interval

found in the previous question?

QUESTION 21

1.20. Use the Theory Based Inference Applet to calculate a 95% confidence interval for the

parameter. Is this interval similar to the previous two intervals?

QUESTION 22

1.What would happen to your 95% confidence intervals if the sample size was 1000 instead of 242 and the

sample proportion was still 52%?

QUESTION 23

1.22. If you were to construct a 99% confidence interval using the plausible values method from question

18, how would the 99% confidence interval compare to the 95% confidence interval?

QUESTION 24

1.23. Do you think the results from this study can be extended to people in general? Explain your

reasoning.

QUESTION 25

1.24. Answer the following questions:

•What changes or improvements would you make if you were to repeat this study?

•What additional questions would you be interested in asking?

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