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MATH 225N: Week 7 Assignment Developing Hypothesis and understanding Possible Conclusion for Proportions (Q&A) Latest Update

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MATH 225N: Week 7 Assignment Developing Hypothesis and understanding Possible Conclusion for Proportions (Q&A) Latest Update. Identify the null and alternative hypotheses for an experiment with one population proportion 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? {H0:p=0.06Ha:p0.06 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=0.06Ha:p0.06 Great work! That's correct. Compute the value of the test statistic (z-value) for a hypothesis test for proportion Question A college professor claims that the proportion of students passing a statistics course is 80%. To test this claim, a random sample of 250 students who previously took the course is taken and it is determined that 221 students passed the course. This study source was downloaded by from CourseH on :35:56 GMT -06:00 The following is the setup for this hypothesis test: H0:p = 0.80 Ha:p ≠ 0.80 Find the test statistic for this hypothesis test for a proportion and round your answer to 2 decimal places. Well done! You got it right. 3.32 The proportion of successes is p̂ ==0.884. The test statistic is calculated as follows: I offer online tutoring, help with class Assignments, essay writing, dissertations, thesis, Copywriting Et al., for all Majors with a guaranteed PASS and QUALITY. For assistance Contact Tutor Lucas:

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