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
orchestra answered 2 years agoRelated 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
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lived in an environment with a normal light/dark cycle is given
below. Test the claim using a 2% level of significance. Assume the
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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 =
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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
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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
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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
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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
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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
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5%< p-value <10%
2%< p-value < 5%
1%< p-value < 2%
10%< p-value < 20%
2.5%< p-value < 5%
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