When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1350 of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 5632 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than​ 20% of the pumps are inaccurate. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution. Question content area bottom Part 1 Identify the null hypothesis and alternative hypothesis. A. H0​: p>0.2 H1​: p=0.2 B. H0​: p=0.2 H1​: p>0.2 C. H0​: p=0.2 H1​: p≠0.2 D. H0​: p<0.2 H1​: p=0.2 E. H0​: p=0.2 H1​: p<0.2 F. H0​: p≠0.2 H1​: p=0.2 Part 2 The test statistic is z=enter your response here. ​(Round to four decimal places as​ needed.) Part 3 The​ P-value is enter your response here. ​(Round to four decimal places as​ needed.) Part 4

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
icon
Related questions
Question

When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1350 of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 5632 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than​ 20% of the pumps are inaccurate. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution.
Question content area bottom
Part 1
Identify the null hypothesis and alternative hypothesis.
A.
H0​: p>0.2
H1​: p=0.2
B.
H0​: p=0.2
H1​: p>0.2
C.
H0​: p=0.2
H1​: p≠0.2
D.
H0​: p<0.2
H1​: p=0.2
E.
H0​: p=0.2
H1​: p<0.2
F.
H0​: p≠0.2
H1​: p=0.2
Part 2
The test statistic is z=enter your response here.
​(Round to four decimal places as​ needed.)
Part 3
The​ P-value is enter your response here.
​(Round to four decimal places as​ needed.)
Part 4
Because the​ P-value is 
▼ 
 the significance​ level, 
fail to reject
 the null hypothesis. There is 
▼ 
 evidence support the claim that less than​ 20% of the pumps are inaccurate. 

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill