Mathematics

Sierra Rogers

6 October, 15:43

Using data from a study, 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 from this study. 1 In this case, we are testingH0:po=pcHa:po>pcwhere 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. We have n1=n2=500. Show all remaining details in the test, using a 5% significance level. Effect of Organic Raisins After 15 DaysAfter 15 days, 320 of the 500 fruit flies eating organic raisins are still alive, while 300 of the 500 eating conventional raisins are still alive. Give the test statistic and the p-value. Round your answers to three decimal places. What is the conclusion? Do we have evidence that the proportion surviving after eating organic is higher?