Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. you would like to determine if teacher a gives dif

You would like to determine if teacher A gives different grades from teacher B in the...

60.1K

Verified Solution

Question

Statistics

You would like to determine if teacher A gives different gradesfrom teacher B in the same class at a significance level of 0.01.You take a random sample of 85 students from teacher A, 61 of whompassed the class. You also take a random sample of 70 students fromteacher B, 56 of whom passed the class.

a) What is the estimate of the difference in proportion ofstudents who pass? Find the estimate of pA − pB.

b) Is it appropriate to assume that the sampling distribution ofthe difference in proportions is normally distributed?

c) Find a 90% confidence interval for the difference in part (a)and interpret it.

d) Your original goal is to test to see if the two teachers aredifferent. What are the hypotheses for this test?

e) Calculate the z-test statistic for the tests defined in part(d). f) Find the P-value for the test defined in part (d). g) Stateyour conclusion for the hypothesis test, and then interpret theresult in the context of the problem.

Answer & Explanation Solved by verified expert
3.9 Ratings (716 Votes)
Let denote the proportions of people who passed the class    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Briefly describe the role Dendritic cells play in bringing the virus to a lymph node.

Medical Sciences
Q

Please state an exercise / movement and describe it using anatomical terminology. For this exercise /...

Medical Sciences
Q

A railway buffer consists of a pair of cylinders placed parallel side-by-side. Oil is present in...

Mechanical Engineering
Q

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one. b) In...

Advance Math
Q

Calculate the missing values in the following table Round to four decimal places wherever applicable...

Basic Math
Q

You have $10 in you bank account in Month 1. It doubles every month. How...

Basic Math
Q

Use the graph of f x shown below to find the following integrals 2 2...

Calculus
Q

4 5 pts Openstax 6 3 159 Use the method of cylindrical shells to develop...

Calculus
Q

Find Jes e3x cos 2x dx 2 2 points

Calculus
Q

Required information [The following information applies to the questions displayed below.] Cane Company manufactures two...

Accounting
Q

Exercise 4-15 Ayayai Corporation reported the following for 2017: net sales $1,207,600, cost of goods...

Accounting
Q

Which of the following statements is NOT correct? A. After closing entries are posted, the...

Accounting