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 Bananas After 15 Days
After 15 days, 345 of the 500 fruit flies eating organic bananas
are still alive, while 320 of the 500 eating conventional bananas
are still alive.
1Proportions approximated from information given in the
paper.
Give the test statistic and the p-value.
Round your answers to three decimal places.
Test statistic = __________________.
p-value = ______________________.
What is the conclusion?
Reject H_0. OR Do not reject H_0.???
Do we have evidence that the proportion surviving after eating organic is higher?
Yes or No?
For Organic:
n1 = 500, x1 = 345
p̂1 = x1/n1 = 0.69
For conventional :
n2 = 500, x2 = 320
p̂2 = x2/n2 = 0.64
α = 0.05
Null and Alternative hypothesis:
Ho : p1 = p2
H1 : p1 > p2
Pooled proportion:
p̄ = (x1+x2)/(n1+n2) = (345+320)/(500+500) = 0.6650
Test statistic:
z = (p̂1 - p̂2)/√ [p̄*(1-p̄)*(1/n1+1/n2)] = (0.69 - 0.64)/√[0.665*0.335*(1/500+1/500)] = 1.675
p-value = 1- NORM.S.DIST(1.675, 1) = 0.047
Decision:
As p-value < α, reject the null hypothesis.
Conclusion:
Yes, There is enough evidence to conclude that the proportion surviving after eating organic is higher
MORE BENEFITS OF EATING ORGANIC Using data from a study, we find a significant difference in...
Study Guide 321 Student Name Date Course Section Chapter TERMINOLOGY A. An eating disorder characterized by the refusal to maintain a minimally normal body weight Hunger B. An internal signal that stimulates a person to acquire and Anthropometrics consume food C. A term used to define overfatness with potential adverse health effects and a BMI of over 30 Anorexia Nervosa. D. The type of activity which strengthens muscles and improves flexibility, bone density, and muscle endurance Satiety E. A method...
1. We reject the null hypothesis only when: a. our sample mean is larger than the population mean. b. the p value associated with our test statistic is greater than the significance level of the test we have chosen. c. our sample mean is smaller than the population mean. d. the p value associated with our test statistic is smaller than the significance level of the test we have chosen. 2. In a study of simulated juror decision making, researchers...
photos for each question are all in a row (1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...
Case study Company Case Campbell Soup Company: Watching What You Eat You might think that a well-known, veteran consumer products company like the Campbell Soup Company has it made. After all, when people think of soup, they think of Campbell’s. In the $5 billion U.S. soup market, Campbell dominates with a 44 percent share. Selling products under such an iconic brand name should be a snap. But if you ask Denise Morrison, CEO of Campbell, she’ll tell you a different...