In a study on the benefits of eating organic produce, fruit flies were assigned at random to two groups. One group was fed organic potatoes and the other was fed
conventional potatoes. At the end of 13 days, the proportion of flies that were still alive was calculated for each group.
To address the question of whether more flies would survive eating organic potatoes than conventional potatoes, we use the hypotheses:
$$H_0: p_o = p_c$$
$$H_a: p_o > p_c$$
For parts A and B, identify which kind of error each of the following scenarios represents (choose Type I or Type II from the drop down list):
A) We decide that the proportion of fruit flies in each group still alive after 13 days is the same, when in reality, the proportion of flies still alive after eating organic potatoes is
higher. Error type:
B) We decide that the proportion of fruit flies eating organic potatoes still alive after 13 days is higher than that of flies eating conventional potatoes, but in reality the
proportions are the same. Error type:
C) Suppose our primary concern is to protect the public from potentially harmful pesticides, as found in conventional potatoes, and that if no statistically significant difference is
found from this test, a grocery chain will stop selling organic potatoes. Is it safer to use a large or a small significance level here?