Name: _____________________________________
Send one member of your group to the front of the class to select one random sample of \(20\) candies. Calculate the proportion of these candies that are green colored. Once you’ve recorded this value, return the candies to the large bag and have a different group member select a new sample of \(20\) candies. Repeat this once again with a third group member. Then answer question 1.
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Repeat everything you did once more so that you have another three observations of the proportion of green candies in a sample of size 20. Record these three new observations below.
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Note: If the company’s claim is true, that is \(15\%\) of the candies in any given package have green colors, then the number of green candies in a random sample of 20 candies follows a binomial distribution, specifically, \(Bin(n=20,p=0.15)\).
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Have a group member go to the chalkboard and plot each of your five observed counts on the dot plot.
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Open the binomial table of probabilities from our Moodle page. Discuss with your group how you think you can interpret the values in this table. (Hint: It’s purpose is similar to that of a Z table for Normal probabilities.)
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