Question

In: Statistics and Probability

A statistician is tasked with testing a company’s claim that its new test preparation book increases...

A statistician is tasked with testing a company’s claim that its new test preparation book increases the chance of passing an exam to more than 75%. For a random sample of 30 people who used the book, 25 people passed the exam. From the above data, test the validity of the company’s claim (i.e. answer the questions below). Use a significance level of 5% (i.e., a = 0.05).

(1) What are H0 and H1 in this problem? [Show your steps starting from the claim]

(2) What is the value of the Test Statistic? [write down formula, do the calculation, show result]

(3) What is the Critical Region? [write down answer as an inequality with numbers]

(4) Is your Test Statistic in the Critical Region – yes or no? [should follow from steps (2) and (3)]

(5) What is the P value? [I prefer you show Excel formula used and the result]

(6) What is your decision (i.e., do you Reject or Fail to Reject H0)? Summarize finding in plain English (use language from the summary table)

(7) Would the conclusion have been the be the same if a = 0.01?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Testing a Claim about a Mean Test the Claim: The mean time to take this exam...
Testing a Claim about a Mean Test the Claim: The mean time to take this exam is greater than 30 minutes. (Note: There will be NO credit given for wrong answers even if they are correct based on previous wrong answers – so check your work) Sample data: n = 25, x = 32 minutes, s = 5 minutes. α = 0.05 6. What is the value of the Test Statistic? (1 Point) 7. What is/are the Critical Value(s)? (1...
You are testing the claim that having lights on at night increases weight gain (abstract). A...
You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at...
The test statistic of z = -1.98 is obtained when testing the claim that p <...
The test statistic of z = -1.98 is obtained when testing the claim that p < 0.64. A) Using a significance level of alpha = 0.05​, find the critical​ value(s). b. Should we reject Upper H 0 or should we fail to reject Upper H 0​? Please answer A and B note For part A *​(Round to two decimal places as needed. Use a comma to separate answers as​ needed*
Testing Claims You wish to test the following claim ( H a ) at a significance...
Testing Claims You wish to test the following claim ( H a ) at a significance level of α = 0.001 . H o : p = 0.71 H a : p < 0.71 You obtain a sample of size n = 636 in which there are 420 successful observations. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 0.573 Incorrect What is the p-value for this sample? (Report answer accurate...
Two sample hypothesis testing: use the data analysis add in to test the claim that the...
Two sample hypothesis testing: use the data analysis add in to test the claim that the average scores for all statistics students taking test 1 and 2 are the same using a 5% level of significance. Fill each of the cells with required information. test 1 Scores test 2 Scores 91 85 83 76 75 68 85 52 90 99 80 64 67 96 82 92 88 81 87 45 95 74 91 62 73 83 80 79 83 87...
A) Hypothesis Testing - Type I and Type II errors: You test the claim that the...
A) Hypothesis Testing - Type I and Type II errors: You test the claim that the mean gas mileage of all cars of a certain make is less than 29 miles per gallon (mpg). You perform this test at the 0.10 significance level. What is the probability of a Type I error for this test? B)Sleep: Assume the general population gets an average of 7 hours of sleep per night. You randomly select 40 college students and survey them on...
The test statistic of z=1.42 is obtained when testing the claim that p does not =...
The test statistic of z=1.42 is obtained when testing the claim that p does not = 0.663. a. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed. b. Find the​ P-value. c. Using a significance level of alphaequals0.05​, should we reject Upper H 0 or should we fail to reject Upper H 0​?
A new online test preparation company compared 3,025 students who had not used its program with...
A new online test preparation company compared 3,025 students who had not used its program with 2,150 students who had. Of those students who did not use the online test preparation program, 1,513 increased their scores on the SAT examination compared with 1,100 who did use the program. A significance test was conducted to determine whether there is evidence that the online test preparation company's students were more likely to increase their scores on the SAT exam. What is the...
A new online test preparation company compared 3,025 students who had not used its program with...
A new online test preparation company compared 3,025 students who had not used its program with 2,150 students who had. Of those students who did not use the online test preparation program, 1,513 increased their scores on the SAT examination compared with 1,100 who did use the program. A significance test was conducted to determine whether there is evidence that the online test preparation company's students were more likely to increase their scores on the SAT exam. What is the...
When testing the claim that the mean is not equal to 25.5 (two sided t-test). Assume...
When testing the claim that the mean is not equal to 25.5 (two sided t-test). Assume sigma is unknown and sample size is 10. Find p-value if test value is 1.45. ( use t- table )? 5%< p-value <10% 2%< p-value < 5% 1%< p-value < 2% 10%< p-value < 20% 2.5%< p-value < 5%
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT