Statistics college level project ( NO PLAGIARISM )

This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

Practice Problems 3D

For #1-30, fill out the following table and write the formal conclusion. A “Low” P-value means that the P-value was lower than the significance level while a “High” P-value means that the P-value was higher than the significance level.

Claim P-value Evidence (Yes or No) Formal Hypothesis Test Conclusion 1. 𝐻𝐻0 Low 2. 𝐻𝐻𝐴𝐴 High 3. 𝐻𝐻𝐴𝐴 High 4. 𝐻𝐻0 Low 5. 𝐻𝐻0 High 6. 𝐻𝐻𝐴𝐴 High 7. 𝐻𝐻𝐴𝐴 Low 8. 𝐻𝐻0 High 9. 𝐻𝐻0 Low 10. 𝐻𝐻𝐴𝐴 Low 11. 𝐻𝐻𝐴𝐴 High 12. 𝐻𝐻0 High 13. 𝐻𝐻0 Low 14. 𝐻𝐻𝐴𝐴 High 15. 𝐻𝐻𝐴𝐴 Low 16. 𝐻𝐻0 Low 17. 𝐻𝐻0 High 18. 𝐻𝐻𝐴𝐴 Low 19. 𝐻𝐻𝐴𝐴 High 20. 𝐻𝐻0 Low 21. 𝐻𝐻0 Low 22. 𝐻𝐻𝐴𝐴 High 23. 𝐻𝐻𝐴𝐴 High 24. 𝐻𝐻0 High 25. 𝐻𝐻0 Low 26. 𝐻𝐻𝐴𝐴 Low 27. 𝐻𝐻𝐴𝐴 High 28. 𝐻𝐻0 Low 29. 𝐻𝐻0 High 30. 𝐻𝐻𝐴𝐴 Low

31. The hospital claims that less than 4% of people who received the medication showed symptoms of side effects. Use a 1% significance level. (P-value = 0.0027)

Ho: p ≥ 0.04 Ha: p < 0.04 (Claim)

a) Should we reject or fail to reject the null hypothesis? Explain why.

b) Do we have statistical evidence for our conclusion? Explain why.

c) Write the formal hypothesis test conclusion sentence addressing the claim and evidence.

d) Explain your conclusion in non-statistics, easy to understand language.

This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

32. We think that the population mean average height of women is at most 63.5 inches. Use a 5% significance level. (P-value = 0.1843) Ho: µ ≤ 63.5 inches (Claim) Ha: µ > 63.5 inches

a) Should we reject or fail to reject the null hypothesis? Explain why.

b) Do we have statistical evidence for our conclusion? Explain why.

c) Write the formal hypothesis test conclusion sentence addressing the claim and evidence.

d) Explain your conclusion in non-statistics, easy to understand language.

33. Latest polls suggest that the candidate should receive about 54% of the vote. Use a 10% significance level. (P-value = 0.0711) Ho: p = 0.54 (Claim) Ha: p ≠ 0.54

a) Should we reject or fail to reject the null hypothesis? Explain why.

b) Do we have statistical evidence for our conclusion? Explain why.

c) Write the formal hypothesis test conclusion sentence addressing the claim and evidence.

d) Explain your conclusion in non-statistics, easy to understand language.

34. The population mean average weight of electrically powered car weighs is more than 2000 pounds. Use a 5% significance level. (P-value = 0.2682)

Ho: µ ≤ 2000 pounds Ha: µ > 2000 pounds (Claim)

a) Should we reject or fail to reject the null hypothesis? Explain why.

b) Do we have statistical evidence for our conclusion? Explain why.

c) Write the formal hypothesis test conclusion sentence addressing the claim and evidence.

d) Explain your conclusion in non-statistics, easy to understand language.

35. The medication Toprol is showing real promise in treating migraines. At least 50% of all patients taking Toprol have seen an improvement in their migraine symptoms. Use a 1% significance level. (P-value = 0.0086)

Ho: p ≥ 0.5 (Claim) Ha: p < 0.5

a) Should we reject or fail to reject the null hypothesis? Explain why.

b) Do we have statistical evidence for our conclusion? Explain why.

c) Write the formal hypothesis test conclusion sentence addressing the claim and evidence.

d) Explain your conclusion in non-statistics, easy to understand language.

This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

36. The population mean average cholesterol for men is different from the population mean average cholesterol for women. Use a 5% significance level. (P-value = 0.0391)

Ho: µ1 = µ2 Ha: µ1 ≠ µ2 (Claim)

a) Should we reject or fail to reject the null hypothesis? Explain why.

b) Do we have statistical evidence for our conclusion? Explain why.

c) Write the formal hypothesis test conclusion sentence addressing the claim and evidence.

d) Explain your conclusion in non-statistics, easy to understand language.

37. In this state, the population percentage of people that will vote for the democratic candidate will be higher than the percentage of people that will vote for the republican candidate. Use a 10% significance level. (P-value = 0.3144)

Ho: p1 ≤ p2 Ha: p1 > p2 (Claim)

a) Should we reject or fail to reject the null hypothesis? Explain why.

b) Do we have statistical evidence for our conclusion? Explain why.

c) Write the formal hypothesis test conclusion sentence addressing the claim and evidence.

d) Explain your conclusion in non-statistics, easy to understand language.

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