MATH 225N MATH Week 7 Assignment Developing Hypothesis and understanding Possible Conclusion for Proportions
7 views 0 purchase
Course
MATH 225N MATH (MATH225N)
Institution
Chamberlain College Of Nursing
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 select...
math 225n mathweek 7 assignment developing hypothesis and understanding possible conclusion for proportions
math 225n math week 7 assign
Written for
Chamberlain College Of Nursing
MATH 225N MATH (MATH225N)
All documents for this subject (91)
Seller
Follow
Michael01
Reviews received
Content preview
Week 7 Assignment- Developing Hypothesis and understanding Possible Conclusion for
Proportions
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:p>0.06
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:p>0.06
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 100000770861734 from CourseHero.com on 02-09-2022 04:25:57 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 =221250=0.884.
The test statistic is calculated as follows:
z=p̂ −p0p0⋅(1−p0)n√
z=0.884−0.800.80⋅(1−0.80)250√
z≈3.32
Compute the value of the test statistic (z-value) for a hypothesis test for proportion
Question
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 92 people are unemployed.
The following is the setup for this hypothesis test:
{H0:p=0.05Ha:p<0.05
Find the test statistic for this hypothesis test for a proportion. Round your answer
to 2 decimal places.
Test_Statistic=2.01 Great work! That's correct.
Identify the null and alternative hypotheses for an experiment with one population proportion
Question
This study source was downloaded by 100000770861734 from CourseHero.com on 02-09-2022 04:25:57 GMT -06:00
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Michael01. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.99. You're not tied to anything after your purchase.
