Chapter 5, Section 1, Exercise 018 MORE BENEFITS OF EATING ORGANIC Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing       H0⁢ : po⁢= pcHa⁢: po⁢ > pc where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5% significance level. Effect of Organic Soybeans After 5 Days After 5 days, the proportion of fruit flies eating organic soybeans still alive is 0.92, while the proportion still alive eating conventional soybeans is 0.84. The standard error for the difference in proportions is 0.023. What is the value of the test statistic? Round your answer to two decimal places.  z=  What is the p-value? Round your answer to three decimal places. p-value = What is the conclusion?   Is there evidence of a difference?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Chapter 5, Section 1, Exercise 018

MORE BENEFITS OF EATING ORGANIC

Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing

      H0⁢ : po⁢= pcHa⁢: po⁢ > pc

where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5% significance level.

Effect of Organic Soybeans After 5 Days

After 5 days, the proportion of fruit flies eating organic soybeans still alive is 0.92, while the proportion still alive eating conventional soybeans is 0.84. The standard error for the difference in proportions is 0.023.

What is the value of the test statistic?

Round your answer to two decimal places.

 z= 

What is the p-value?

Round your answer to three decimal places.

p-value =

What is the conclusion?

 


Is there evidence of a difference?

 
 
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