A company's Office of Human Resources reports a breakdown of employees by job type and sex, as seen in the table. Management Supervisor Production Male 7 8 45 Female 6 12 72 Suppose we select one employee at random. Round to the hundredths place, O.XX. Is having a supervisor's job independent of the sex of the employee? P (MS)= type your answer... P(M)= type your answer.... Independent? choose your answer...

The following tables show the make-up of students in a school's math club. Male Female Totals Freshmen 3 5 8 Sophomores 4 10 Juniors 7 5 12 Seniors 4 10 Totals 20 20 40 P(female I freshman)? 4 20

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180 students were surveyed on their current enrollment in Math, Biology, and Chemistry. The results are listed below. 82 students are enrolled in Math. 58 students are enrolled in Biology. 70 students are enrolled in Chemistry. 33 students are enrolled in Math and Bio. 24 students are enrolled in Bio and Chem. 26 students are enrolled in Math and Chem. 14 students are enrolled in all three courses. How many students were enrolled in at least one of the three courses?

Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."

L1Q7.The following table shows the number of people who have different eye color and hair colors.

A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.

complaint and, if so, whether the complaint was medical or nonmedical in nature. After a year, a tally from these patients was collected to count number who left the HMO voluntarily. Here are the data on the total number in each group and the number who voluntarily left the HMO: No complaint Medical complaint Nonmedical complaint Total A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 423 patients was taken. Data was collected on whether a patient had filed a 177 111 135 Left 64 27 50 If the null hypothesis is Ho : pı = P2 = P3 and using a = 0.05, then do the following: (a) Find the expected number of people with no complaint who leave the HMO: (b) Find the expected number of people with a medical complaint who leave the HMO: (c) Find the expected number of people with a nonmedical complaint who leave the HMO: (d) Find the test statistic: (e) Find the degrees of freedom: (f) Find the critical value: (g) The final conclusion is OA. We…

A. Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 35% of the time, four events 25% of the time, three events 20% of the time, two events 10% of the time, one event 5% of the time, and no event 5% of the time. What values does x take on? (Enter your answers as a comma-separated list.) B. Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 25% of the time, four events 25% of the time, three events 20% of the time, two events 15% of the time, one event 10% of the time, and no events 5% of the time. Find the probability that Javier volunteers for less than three events each month. (Enter an exact number as an integer, fraction, or decimal.) P(x < 3) =

23. Andrews Middle School has gathered data for their students' transportation to and from school. Method of Transportation Female Male Bus 94 102 Car 38 32 Walk 40 44 What is the frequency of students, in total, who ride a bus to and from school? O The frequency of students who ride the bus cannot be determined using the data in the table. 196 students 94 0.92(100) = 92%of students 102 102 students