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 0.89 , while the proportion still alive eating conventional soybeans is 0.85 . The standard error for the difference in proportions is 0.022 .
What is the value of the test statistic? Round your answer to two decimal places. z=z=
What is the pp-value? Round your answer to three decimal places. pp-value == \square What is the conclusion? \square Is there evidence of a difference? \square

Studdy Solution
Test statistic: z=1.82z = \textbf{1.82} p-value: 0.035\textbf{0.035} Conclusion: **Reject the null hypothesis**. Is there evidence of a difference? **Yes**

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