You may need to use the appropriate appendix table or technology to answer this question. A comparative study of organic and conventionally grown produce was checked for the presence of E. coli. Results are summarized below. Sample Size E. coli Prevalence Organic O Conventional O Ho: P₁ P₂ = 0 Ha: P₁ P₂ = 0 Ho: P₁ P₂ ≤0 Ha: P₁ P₂ > 0 240 Is there a significant difference in the proportion of E. coli in organic vs. conventionally grown produce? Test at a = 0.10. (Let d = Organic - Conventiona (a) Formulate the hypotheses. Ho: P₁ P₂ ≤ 0 Ha: P₁ P₂ = 0 O Ho: P₁ P₂ = 0 H: P₁ P₂ = 0 Ho: P1₁ P₂ > 0 P₂ ≤0 H₂: P₁ 510 3 20

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
You may need to use the appropriate appendix table or technology to answer this question.
A comparative study of organic and conventionally grown produce was checked for the presence of E. coli. Results are summarized below.
Sample Size E. coli Prevalence
Organic
O
Conventional
Ho: P₁ P₂ = 0
Ha: P₁
P₂ = 0
Ho: P₁
Ha: P₁
Is there a significant difference in the proportion of E. coli in organic vs. conventionally grown produce? Test at a = 0.10. (Let d = Organic - Conventional.)
(a) Formulate the hypotheses.
Ho: P₁
P₂ ≤ 0
Ha: P₁
P₂ = 0
P₂ ≤ 0
P₂ > 0
Ho: P₁ P₂ = 0
Ha P₁
P₂ = 0
240
Ho: P₁ P₂ > 0
Ha: P₁ P₂ ≤0
510
3
20
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. A comparative study of organic and conventionally grown produce was checked for the presence of E. coli. Results are summarized below. Sample Size E. coli Prevalence Organic O Conventional Ho: P₁ P₂ = 0 Ha: P₁ P₂ = 0 Ho: P₁ Ha: P₁ Is there a significant difference in the proportion of E. coli in organic vs. conventionally grown produce? Test at a = 0.10. (Let d = Organic - Conventional.) (a) Formulate the hypotheses. Ho: P₁ P₂ ≤ 0 Ha: P₁ P₂ = 0 P₂ ≤ 0 P₂ > 0 Ho: P₁ P₂ = 0 Ha P₁ P₂ = 0 240 Ho: P₁ P₂ > 0 Ha: P₁ P₂ ≤0 510 3 20
Is there a significant difference in the proportion of E. coli in organic vs. conventionally grown produce? Test at a = 0.10. (Let d = Organic - Conventional.)
(a) Formulate the hypotheses.
Ho: P₁ P₂ ≤0
Ha: P₁
P₂ = 0
O
Ho: P1
Ha: P1
Ho: P₁-P₂ ≤ 0
Ha: P₁
P₂ > 0
Ho: P₁
Ha: P₁
P₂ #0
P₂ = 0
Ho: P1
Ha: P₁
P₂ = 0
P₂ #0
P₂ > 0
P₂ ≤ 0
(b) What is the value of the test statistic? (Round your answer to three decimal places.)
(c) What is the p-value? (Round your answer to three decimal places.)
p-value =
(d) What is your conclusion?
O Reject Ho. We can conclude that there is a significant difference in the proportion of E. coli in organic vs. conventional produce.
Reject Ho. We cannot conclude that there is a significant difference in the proportion of E. coli in organic vs. conventional produce.
Do not reject Ho. We can conclude that there is a significant difference in the proportion of E. coli in organic vs. conventional produce.
Do not reject Ho. We cannot conclude that there is a significant difference in the proportion of E. coli in organic vs. conventional produce.
Transcribed Image Text:Is there a significant difference in the proportion of E. coli in organic vs. conventionally grown produce? Test at a = 0.10. (Let d = Organic - Conventional.) (a) Formulate the hypotheses. Ho: P₁ P₂ ≤0 Ha: P₁ P₂ = 0 O Ho: P1 Ha: P1 Ho: P₁-P₂ ≤ 0 Ha: P₁ P₂ > 0 Ho: P₁ Ha: P₁ P₂ #0 P₂ = 0 Ho: P1 Ha: P₁ P₂ = 0 P₂ #0 P₂ > 0 P₂ ≤ 0 (b) What is the value of the test statistic? (Round your answer to three decimal places.) (c) What is the p-value? (Round your answer to three decimal places.) p-value = (d) What is your conclusion? O Reject Ho. We can conclude that there is a significant difference in the proportion of E. coli in organic vs. conventional produce. Reject Ho. We cannot conclude that there is a significant difference in the proportion of E. coli in organic vs. conventional produce. Do not reject Ho. We can conclude that there is a significant difference in the proportion of E. coli in organic vs. conventional produce. Do not reject Ho. We cannot conclude that there is a significant difference in the proportion of E. coli in organic vs. conventional produce.
Expert Solution
steps

Step by step

Solved in 6 steps with 10 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman