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Transcript of Skittles Lab
Deepthi Krishna Conditions: The subjects are independent of each other
The data are an SRS of the population
The population is at least 10 times as large as the sample size (33)
n = 33
p = 0.575
np = 33*0.575 >= 10 and n(1-p)≥ = 33*(1-0.575) >= 10 The population is teenagers. Even though we only sampled juniors at Troy High, we can safely assume that our population is teenagers because we don't have any reason to believe that juniors have different senses of taste than other teenagers.
The paramater of interest is the proportion of teenagers who can tell the difference in the flavors of skittles alpha = 0.05
sample proportion = 0.575
Ho: p = 0.5
(the proportion of teenagers who correctly guess the difference in flavors is 0.5)
Ha: p > 0.5
(the proportion of teenagers who correctly guess the difference in flavors is greater than 0.5)
z = 0.86
p-value = 0.1944 Calculations Answer in context: Because the p-value is greater than alpha, we would fail to reject the null hypothesis. There is not significant evidence to suggest that the true proportion of teenagers who detected a difference in the taste of skittles is greater than 0.5.
There is no evidence to believe that people were right out of random chance. We can conclude that teenagers can not tell the difference in the taste of skittles. Experimental Design We took a random sample of 33 people. We assigned heads to mean we would give them two of the same type of skittle and tails to mean we would give them two different types of skittles. We flipped a coin and assigned either heads or tails to each person. Once the subjects tasted the skittles, they would tell us if they thought they were given two different or two identical skittles. We recorded whether they were right or wrong. Coin Flips: 23 Heads
10 Tails Raw Responses: 11 people responded with "Same"
22 people responded with "Different" Amount of Sucesses: 19 responded correctly
14 responded incorrectly