Math  /  Data & Statistics

QuestionMORE 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\begin{array}{l} H_{0}: p_{o}=p_{c} \\ H_{a}: p_{o}>p_{c} \end{array} where pop_{o} and pcp_{c} 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%5 \% significance level.
Effect of Organic Soybeans After 5 Days
After 5 days, the proportion of fruit flies eating organic soybeans still alive is 0.9 , while the proportion still alive eating conventional soybeans is 0.84. The standard error for the differeffee in proportions is 0.022 .
What is the value of the test statistic?
Round your answer to two decimal places. \square What is the pp-value?
Round your answer to three decimal places. p-value = p \text {-value = } \square
What is the conclusion?

Studdy Solution
Compare the p-value to the significance level α=0.05 \alpha = 0.05 .
Since p-value=0.003<0.05 p\text{-value} = 0.003 < 0.05 , we reject the null hypothesis H0 H_0 .
Conclusion: There is significant evidence at the 5% significance level to suggest that the proportion of fruit flies surviving after eating organic soybeans is greater than those eating conventional soybeans.
The test statistic is:
2.73 \boxed{2.73}
The p-value is:
p-value=0.003 p\text{-value} = \boxed{0.003}
Conclusion: Reject H0 H_0 . There is significant evidence that po>pc p_o > p_c .

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord