In: Statistics and Probability
MORE BENEFITS OF EATING ORGANIC
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
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. We have n1=n2=500.
Show all remaining details in the test, using a 5%significance
level.
Effect of Organic Raisins After 20 Days
After 20 days, 275 of the 500 fruit flies eating organic raisins
are still alive, while 170 of the 500 eating conventional raisins
are still alive.
Give the test statistic and the p-value.
Round your answers to three decimal places.
Test statistic = Enter your answer; test statistic
p-value =
Let denote the proportion of fruit flies that are still alive among fruit flies eating organic raisins and eating conventional raisins respectively.
There is sufficient evidence to support the claim that proportion of fruit flies alive at the end of the given time frame of those eating organic food is significantly greater than those eating conventional food.