Question

7. In your biology lab you need to estimate the proportion of dead cells in a suspension. You need to pick a random sample from the suspension, so you stir it very well, then using a pipette you take a sample from it and put some special dye in it. The dye turns the dead cells blue. As you look in a microscope, six of the 85 cells you look at are dead. a. What is the parameter of interest? Use both a symbol and words. b. Find the value of the sample statistic. c. Estimate the parameter of interest with 99% confidence. d. Pretend you need to write a report in your lab book. Write an interpretation of the results.

Answer 1

(a The Parameter of Interest Proportion of dead cells in a proposetion is denoted by m e is the suspension. (b) Sample Statistic = p= 6 = 0.071 (c) confidence interval of Propertion 'l' es given by (Plaza de p'/) N=85 ,x=6 P= 0.07) . 51-p':.0.9 294 d= 0.99 -> 24 = 2.58 confidence interval :) 10.071//0.929/1 0.07) - -IV (0.929) 85 0.071 +258) 10.07) + 12. 85 scānned 0:04314, 0.09886)

- (d) AS a Interpretation we can say in gg % of experiments the proportion of dead cells in suspension will lie blo : 10-04314, 0.09886).