Asked Aug 20, 2019

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.

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.

Provide your answer below:



Expert Answer

Step 1

Test statistic for Z test can be calculated using the formula shown below.


Image Transcriptionclose

р-P Z= о |Р(1-Р) о — п

Step 2

Calculations can be performed on...


Image Transcriptionclose

A 1 Sample size (n) 250 2 Number of students from sample who passed 221 3 Sample proportion (p) B2/B1 4 Hypothesized Proportion (P) 0.8 5 Standard deviation (sigma) -SQRT((B4*(1-B4))/B1) (B3-B4)/B5 6 Test Statistic (Z) 7 8 1 Sample size (n) 2 Number of students from sample who passed 3 Sample proportion (p) 4 Hypothesized Proportion (P) 5 Standard deviation (sigma) 6 Test Statistic (Z) 250 221 0.884 0.8 0.025298221 3.320391543 7 8 10 co co a


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in



Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: In general, we want to see if elderly primes will lead people to feel elderly feelings and see an ol...

A: The independent variable is that which is changed by the experimenter to test the outcome of the dep...


Q: Leah Peschel is the bottling department manager for a bottling company that produces various soft dr...

A: GivenNull hypothesis H0:  µ1 = µ2Alternative hypothesis Ha :  µ1 ≠ µ2Sample mean number of cola bott...


Q: Given that z is a standard normal random variable, find z for each situation (to 2 decimals) a. The ...

A: a.The area to the left of z is 0.209 can be written as P(Z < z)=0.209.In the z-table for negative...


Q: If 25% of U.S. federal prison inmates are not U.S. citizens, find the probablity that 2 randomly sel...

A: Hello there! There are more than one question in the file shared. According to our policies cannot a...


Q: Jobs and productivity! How do retail stores rate? One way to answer this question is to examine annu...

A: Note:Hi! Thank you for posting the question. Since your question has more than 3 parts, we have solv...


Q: Rolling two dice.  If two dice are rolled one time, find the probability of getting these results. A...

A: Probability of an event:The probability of an event is the number of favourable cases for an event d...


Q: What is the condition on the probability of success p that will guarantee the histogram of a binomia...

A: The binomial distribution has p - probability of success and n- number of trails. The binomial distr...


Q: Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of ...

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. ...


Q: Members of the school committee for a large city claim that the population mean class size of a midd...

A: According to the question,H0: μ=20 versus Ha: μ<20We have n = 35Level of significance = 0.05t = -...