MATH 225N Week 7 Assignment 2020 - Developing Hypothesis and understanding Possible Conclusion for Proportions | MATH225N Week 7 Assignment 2020 - Chamberlain College ( A grade)

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MATH 225N Week 7 Assignment 2020 - Developing Hypothesis and understanding Possible Conclusion for Proportions Identify the null and alternative hypotheses for an experiment with one population pro... portion Question Devin is a researcher for a pharmaceutical company testing whether a new prescription pain medication causes patients to develop nausea. The medication would have to be scrapped if more than 6% of patients who take the medication develop nausea on a regular basis. Devin randomly selected 461 patients for a clinical trial of the medication and found that 27 of the patients developed nausea on a regular basis. What are the null and alternative hypotheses for this hypothesis test? First verify whether all of the conditions have been met. Let p be the population proportion for patients taking the medication who develop nausea on a regular basis. 1. Since there are two independent outcomes for each trial, the proportion follows a binomial model. 2. The question states that the sample was collected randomly. 3. The expected number of successes, np=27.66, and the expected number of failures, nq=n(1−p)=433.34, are both greater than or equal to 5. Since Devin is trying to determine whether more than 6% of the patients taking the medication develop nausea on a regular basis, the null hypothesis is that p is equal to 0.06 and the alternative hypothesis is that p is greater than 0.06. The null and alternative hypotheses are shown below. - - - - - - - - - - - - - - - - - - - - - -- - {H0:p=0.47Ha:p≠0.47 Compute the value of the test statistic (z-value) for a hypothesis test for proportion Question 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: Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Correct answers: The proportion of successes is p̂ =190400=0.475. The test statistic is calculated as follows: Compute the value of the test statistic (z-value) for a hypothesis test for proportion Question A researcher claims that the proportion of people who are right-handed is greater than 70%. To test this claim, a random sample of 600 people is taken and its determined that 410 people are right handed. The following is the setup for this hypothesis test: {H0:p=0.70Ha:p>0.70 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. Correct answers: Test_Statistic=−0.89​ Well done! You got it right. The proportion of successes is p̂ =410600=0.683. The test statistic is calculated as follows: z=p̂ −p0p0⋅(1−p0)n‾‾‾‾‾‾‾√ [Show More]

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