2. Benefits of eating organic. After 5 days, the proportion of fruit flies eating organic soybeans still alive is 0.90, while the proportion still alive eating conventional soybeans is 0.84. The standard error for the difference in proportions is 0.021. We are testing /1 : p. = p. VS. II : po > p. where p, and p, 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% significance level. a. Calculate the sample statistic, and express it using correct notation. b. Use the sample statistic and the standard error provided to calculate a z-statistic. z-statistic = c. Is this a right tail, left tail, or two-tail test? d. Use Table A to find bounds on the p-value. Assume it is reasonable to use a Normal distribution. e. Use a Normal distribution in Statkey to find the p-value. Include a screen shot of the normal distribution curve with tail probability in your homework submission. p-value = f. Make a formal statistical decision at the 5% level. g. Write a statistical significance conclusion in context