Statistics > STUDY GUIDE > Conduct a Hypothesis Test for Proportion (All)
Conduct a Hypothesis Test for Proportion - PValue 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 a ... dministers 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%) The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim. 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 reject the Null Hypothesis. The conclusion is that there is enough evidence to reject the claim. This study source was downloaded by 100000825931745 from CourseHero.com on 05-14-2021 18:12:17 GMT -05:00 https://www.coursehero.com/file/58923939/Conduct-a-Hypothesis-Test-for-Proportiondocx/ This study resource was shared via CourseHero.com 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 [Show More]
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