STAT 201L - Lab Activity 17 For lab this week, we will complete Activity 17 from our lab manual which begins on page 73. The focus of this activity is the one sample proportion hypothesis test. Before looking at the data given below, please read and answer Question 1. Naturally, if we were to meet face-to-face, each student would drop their toothpick 10 times and observe the number of times their toothpick landed on the line. However, we are going to simulate the data. Thus, you may omit Question 2. Suppose there are a total of 30 students in class. Each students drops their toothpick 10 times. Out of the total number of times dropped, the toothpick landed on the line 19 times, Now, use this information to complete the remaining portions of the activity. Once complete, scan your work in as a PDF and submit it on Moodle. 17: Öne Sample Inference for Proportions Objective: The objective of this activity is to gain experience with hypothesis testing for a proportion. wn do this by studying the classic experiment proposed by French naturalist Buffon in 1733. This experiment is popularly known as "Buffon's Needle". Topics covered: . Ohe sample hypothesis test for a population proportion 2. One sample confidence interval for a population proportion 3. Duality between confidence intervals and hypothesis testing U we put Buffon's original question from 1733 in our context. We would like to know what is the probability that a standard 2.5 inch toothpick will fall on a line when the lines are parallel. In 1777, Buffon showed that the probability isp= 2 0.636619 when the lines are also 2.5 inches apart. - Suppose we don't believe Buffon's proof. That is, we think that the probability of landing on the ne is most definitely not p = 2. State the hypotheses for our research claim. 2. Next, we collect data to test our research question. Remove the last page of this activity (Page 75) with parallel lines that are 2.5 inches apart. Drop a standard 2.5 inch toothpick on the page. Record whether it falls on a line or not. Repeat the process ten times and record your answers below using 0 = "not on line" and 1 = "landed on line". %3D 4 5 6 7 8 9 10 Total Drop Result 3. To get a better estimate, combine your data with the class and record the values below. Total number of tosses: n = 10 × number of students = Total number landing on the line: x = add all successes in the class %3D Sample proportion: p= /n =, 4. Use the combined data to obtain the test statistic of our test.