Katie Sr Yr stats final practice set 2

Problem 1: Handwashing in Classrooms Out of 1,200 teachers surveyed, 660 reported that they require students to wash their hands before lunch. Test the claim that more than 50% of teachers enforce handwashing. Hypotheses: Which of the following correctly states the null and alternative hypotheses?

• H0:p=0.5 H1:p>0.5

• H0:p>0.5 H1:p=0.5

• H0:p=0.5 H1:p≠0.5

• H0:p=0.55 H1:p>0.55

Problem 2: Test Statistic What is the z-test statistic?

• 1.73

• 2.31

• 1.58

• 0.89

Problem 3: P-Value What is the P-value?

• 0.0104

• 0.0213

• 0.0516

• 0.0947

Problem 4: Decision What is the decision based on α = 0.05?

• Accept the alternative hypothesis

• Fail to reject the null hypothesis

• Reject the null hypothesis

• Increase the significance level

Problem 5: Conclusion What is the appropriate conclusion?

• There is not enough evidence that more than 50% of teachers require handwashing.

• There is strong evidence that more than 50% of teachers require handwashing.

• We are 95% confident the proportion is below 0.5.

• The test shows that handwashing is statistically insignificant.

Problem 6: Out of 950 college students surveyed, 418 reported drinking energy drinks weekly. Test the claim that less than 45% of students drink energy drinks weekly. Hypotheses: Which of the following correctly states the null and alternative hypotheses?

• H0​:p=0.45
  H1:p<0.45

• H0​:p does not equal 0.45
  H1:p=0.45

• H0​:p<0.45

  H1​:p=0.45

• H0​:p=0.45

  H1​:p>0.45

Problem 7: Test Statistic What is the z-test statistic?

• -1.04

• -0.38

• -2.12

• 1.44

Problem 8: P-Value What is the P-value?

• 0.018

• 0.043

• 0.087

• 0.034

Problem 9: Decision What is the decision based on α = 0.05?

• Fail to reject the null hypothesis

• Accept the null hypothesis

• Reject the null hypothesis

• Decrease the sample size

Problem 10: Conclusion What is the appropriate conclusion?

• There is not enough evidence that fewer than 45% drink energy drinks.

• There is strong evidence that fewer than 45% drink energy drinks weekly.

• The proportion is proven to be less than 44%.

• The test is inconclusive based on these results.