Warm Up Create a Venn Diagram based on

Warm Up Create a Venn Diagram based on the following data: • 27 people own a tractor • 72 people own a car • 45 people own a pickup • 19 people own a car and a tractor • 16 people own a pickup and a tractor • 13 people own a car and a pickup • 10 people own a car, a pickup, and a tractor

Begin Notes We can use a chi—squared test to calculate if there is a significance difference between an observed set of data and a baseline set of data.

The formula •

• Example 1 No exercise Students 255 Exercise sporadically Regularly TOTAL 125 470 90

Example 2 The average bag of Skittles has the following distribution of colors: Green 19. 7%, Yellow 19. 5%, Orange 20. 2%, Red 20%, Purple 20. 6% A bag of Skittles has 15 Green, 23 Yellow, 20 Orange, 25 Red, and 17 Purple. Is the distribution of this bag statistically different that the average distribution?

Warm Up List the 5 steps for conducting a chi-squared hypothesis test.

Example 3 A school finds that the glass in the North doors gets broken much more frequently than the glass in the East doors and South doors. A custodian claims that the reason is because the North Doors are used more frequently. Use the table below and a chi-squared test to determine if his claim is true or not. DOOR NORTH DOORS Uses Per Day 275 EAST DOORS SOUTH DOORS 215 212

Example 4 Topps prints baseball cards. The company claims that 30% of the cards are rookies, 60% veterans, and 10% are All-Stars. The cards are sold in packages of 100. Suppose a randomly-selected package of cards has 50 rookies, 45 veterans, and 5 All-Stars. Is this consistent with Topps’ claim? Use a 0. 05 level of significance.

Exit Problem 1. What war was the U. S. involved in from 1812 -1815? THIS DATE IN HISTORY: What famous NASCAR driver died on Feb 18 th, 2001 at the Daytona 500?

Table Data •

Example 1 • Thigh Arm TOTAL No severe reaction 4788 8916 13704 Severe reaction 30 76 106 TOTAL 4818 8992

Example 2 • Blood Pressure Went Down Blood Pressure Did TOTAL Not Go Down No treatment 10 48 58 Treatment 57 5 62 TOTAL 67 53 120

Homework •

Exit Problems •

Exit Problem • Students A’s and B’s C’s and D’s F’s TOTAL 85 135 40 10