You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ?d ≤ 0 Ha: ?d > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.) Element Population Difference 1 2 1 21 19   2 28 28   3 18 17   4 20 18   5 26 26   (b) Compute  d.   (c) Compute the standard deviation  sd.   (d) Conduct a hypothesis test using  ? = 0.05. Calculate the test statistic. (Round your answer to three decimal places.)   Calculate the p-value. (Round your answer to four decimal places.) p-value =  What is your conclusion? Reject H0. There is insufficient evidence to conclude that  ?d > 0. Reject H0. There is sufficient evidence to conclude that  ?d > 0.     Do not Reject H0. There is sufficient evidence to conclude that  ?d > 0. Do not reject H0. There is insufficient evidence to conclude that  ?d > 0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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You may need to use the appropriate technology to answer this question.
Consider the following hypothesis test.
H0: ?d ≤ 0
Ha: ?d > 0
(a)
The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.)
Element Population Difference
1 2
1 21 19  
2 28 28  
3 18 17  
4 20 18  
5 26 26  
(b)
Compute 
d.
 
(c)
Compute the standard deviation 
sd.
 
(d)
Conduct a hypothesis test using 
? = 0.05.
Calculate the test statistic. (Round your answer to three decimal places.)
 
Calculate the p-value. (Round your answer to four decimal places.)
p-value = 
What is your conclusion?
Reject H0. There is insufficient evidence to conclude that 
?d > 0.
Reject H0. There is sufficient evidence to conclude that 
?d > 0.
    Do not Reject H0. There is sufficient evidence to conclude that 
?d > 0.
Do not reject H0. There is insufficient evidence to conclude that 
?d > 0.
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