Conduct a Hypothesis Test for Proportion P Value Approach Week 7

Conduct a Hypothesis Test for Proportion - P- Value Approach Week 7 1. A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher administers the test to 200 random students and determines that 151 students pass the exam. The following is the setup for this hypothesis test: H0:p=0.80 Ha:p>0.80 In this example, the p-value was determined to be 0.944. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) 2. A hospital administrator claims that the proportion of knee surgeries that are successful is 87%. To test this claim, a random sample of 450 patients who underwent knee surgery is taken and it is determined that 371 of these patients had a successful knee surgery operation. The following is the setup for this hypothesis test: H0:p=0.87 Ha:p≠0.87 In this example, the p-value was determined to be 0.004. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim. the decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to reject the claim. 3. A college administrator claims that the proportion of students that are nursing majors is greater than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 190 are nursing majors. The following is the setup for this hypothesis test: H0:p=0.40 Ha:p>0.40 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve: 0.001. 4. A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. The following is the setup for this hypothesis test: H0:p = 0.35 Ha:p ≠ 0.35 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. 0.076 5. A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher administers the test to 200 random students and determines that 151 students pass the exam. The following is the setup for this hypothesis test: H0:p=0.80 Ha:p>0.80 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. 6. A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000. The following is the setup for this hypothesis test: H0:p=0.40 Ha:p<0.40 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.P= 0.973 7. A college administrator claims that the proportion of students that are nursing majors is less than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 149 are nursing majors. The following is the setup for this hypothesis test: H0:p=0.40 Ha:p<0.40 0.003 From a lookup table of the area under the Standard Normal curve, the corresponding area is then 1 - 0.056 = 0.944. 8. A business owner claims that the proportion of online orders is greater than 75%. To test this claim, the owner checks the next 1,000 orders and determines that 745 orders are online orders. The following is the setup for this hypothesis test: H0:p=0.75 Ha:p>0.75 0.643. 9. A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000. The following is the setup for this hypothesis test: H0:p=0.40 Ha:p<0.40 In this example, the p-value was determined to be 0.973. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) 10. A local cable company claims that the proportion of people who have Internet access is less than 63%. To test this claim, a random sample of 800 people is taken and its determined that 478 people have Internet access. The following is the setup for this hypothesis test: H0:p=0.63 Ha:p<0.63 The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim. In this example, the p-value was determined to be 0.029. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) 11. A college administrator claims that the proportion of students that are nursing majors is less than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 149 are nursing majors. The following is the setup for this hypothesis test: H0:p=0.40 Ha:p<0.40 The p-value for this hypothesis test is 0.131. Based on this p-value result, interprets the results and come to a conclusion for this hypothesis test for a proportion. Use a significance level of 5%. 40%. 12. A researcher claims that the proportion of people who are right-handed is 70%. To test this claim, a random sample of 600 people is taken and its determined that 397 people are right handed. The following is the setup for this hypothesis test: H0:p=0.70 Ha:p≠0.70 In this example, the p-value was determined to be 0.041. The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim. Fail to reject the Null Hypothesis. There is not enough evidence to support the claim that the proportion of students that are nursing majors is less than The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to reject the claim. 13. A college administrator claims that the proportion of students that are female is 62%. To test this claim, a random sample of 300 students is taken and its determined that 211 students are female. The following is the setup for this hypothesis test: H0:p=0.62 Ha:p≠0.62 In this example, the p-value was determined to be 0.003. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5% ) Select the correct answer below: 14. A researcher is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample of 1500 people is taken and its determined that 61 people are unemployed. The following is the setup for this hypothesis test: H0:p=0.05 Ha:p<0.05 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve: The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to reject the claim. 0.048. 15. A business owner claims that the proportion of take out orders is greater than 25%. To test this claim, the owner checks the next 250 orders and determines that 60 orders are take out orders. The following is the setup for this hypothesis test: H0:p=0.25 Ha:p>0.25 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve: 0.6443 16. An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%. To test this claim, a random sample of 750 people are asked if they plan to purchase a fully electric vehicle as their next car Of these 750 people, 513 indicate that they do plan to purchase an electric vehicle. The following is the setup for this hypothesis test: H0:p=0.65 Ha:p>0.65 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. 0.0255 17. A researcher claims that the proportion of college students who plan to participate in community service after graduation is greater than 35%. To test this claim, a survey asked 500 randomly selected college students if they planned to perform community service after graduation. Of those students, 195 indicated they planned to perform community service. The following is the setup m the following hypothesis test: H0:p=0.35 Ha:p>0.35 In this example, the p-value was determined to be 0.030. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) . 18. A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test: H0:p=0.65 Ha:p<0.65 In this example, the p-value was determined to be 0.277. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%). 19. A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. The following is the setup for this hypothesis test: The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim. he decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim. H0:p = 0.35 Ha:p ≠ 0.35 In this example, the p-value was determined to be 0.075 Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to reject the claim.