In this activity, we will estimate a confidence interval for the proportion of times a Hershey's kiss lands on its base as opposed to its side. To complete this, we will drop Hershey's kisses, count how many land on their base, and calculate the confidence interval.

To take your sample, gather five Hershey's kisses in a cup, shake them up, and drop them from about six inches above a desk/table.Count the number that land on their base.Repeat this ten times to get a sample of 50, recording your results in the table below:

Toss Number Number that land on base 2 3 4 5 6 7 8 10 Total count (out of 50) =Follow these steps to make a 95% condence interval for the population proportion, p, based on your 33. 1. Calculate the standard deviation of your sample proportion (this is called the standard error). Use the equation on = 1:, where n is the sample size and q = 1 p. Show your work: up = 2. Look up the critical value, 2*, that corresponds to 95% condence. Note, this is the zscore that corresponds to the middle 95% of the normal distribution. (Hint: what percentage would be left in each tail of the distribution? Draw a picture and use the zscore from pvalue calculator applet to nd the z score). The positive zseore is the critical value: 235% = 3. Findthe margin of error for the condence interval: ME = (235%)( op) = 4. Now nd the condence interval. Adding and subtracting the margin of error from the sample statistic creates the lower and upper bounds for the condence interval: CI = p i (235%)( 03,31 your lower bound = your upper bound = .1 .2 .4 16 .8 .9 Interpret the 95% confidence interval in your own words. Write your interpretation here