3 Written Homework Solve the following exercises. Upload your solution to Gradescope in PDF format. Show all the steps, not just the final answer. You need to show work when computing Binomial, Geometric, Poisson, Exponential and Uniform probabilities. This means you cannot use special functions of your calculator to directly compute such probabilities. On any problem involving integrals, you cannot just use a calculator to get directly the solution. Instead, you need to solve the integral by hand and write down the steps. Exercise 1: With the quarter coming to an end you are thinking about your Christmas vacation. To reach your destination you will need to take an international flight. The airline will assign you a random seat on the plane. The airline claims that the probability that you will be assigned to a middle seat is .40 while the probability you will be assigned to an aisle seat is .30. You however think that this is not the case. With the help of your friend that works for the airline, you collect anonymous data over random bookings. Below are the results: Middle seat Aisle seat 40 15 Window seat 22 Write down the proper null and alternative hypotheses. Define the appropriate test statistic and calculate its value. Find the p-value. (Use the table, not the calculator. Indicate the correct degrees of freedom. You can indicate a range instead of the precise value for the p-value if needed). Write an appropriate conclusion. Use significance level 0.05. d)
3 Written Homework Solve the following exercises. Upload your solution to Gradescope in PDF format. Show all the steps, not just the final answer. You need to show work when computing Binomial, Geometric, Poisson, Exponential and Uniform probabilities. This means you cannot use special functions of your calculator to directly compute such probabilities. On any problem involving integrals, you cannot just use a calculator to get directly the solution. Instead, you need to solve the integral by hand and write down the steps. Exercise 1: With the quarter coming to an end you are thinking about your Christmas vacation. To reach your destination you will need to take an international flight. The airline will assign you a random seat on the plane. The airline claims that the probability that you will be assigned to a middle seat is .40 while the probability you will be assigned to an aisle seat is .30. You however think that this is not the case. With the help of your friend that works for the airline, you collect anonymous data over random bookings. Below are the results: Middle seat Aisle seat 40 15 Window seat 22 Write down the proper null and alternative hypotheses. Define the appropriate test statistic and calculate its value. Find the p-value. (Use the table, not the calculator. Indicate the correct degrees of freedom. You can indicate a range instead of the precise value for the p-value if needed). Write an appropriate conclusion. Use significance level 0.05. d)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 35E
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Transcribed Image Text:3 Written Homework
Solve the following exercises. Upload your solution to Gradescope in PDF format. Show all the
steps, not just the final answer. You need to show work when computing Binomial, Geometric,
Poisson, Exponential and Uniform probabilities. This means you cannot use special functions of
your calculator to directly compute such probabilities. On any problem involving integrals, you
cannot just use a calculator to get directly the solution. Instead, you need to solve the integral
by hand and write down the steps.
Exercise 1: With the quarter coming to an end you are thinking about your Christmas
vacation. To reach your destination you will need to take an international flight. The airline will
assign you a random seat on the plane. The airline claims that the probability that you will be
assigned to a middle seat is .40 while the probability you will be assigned to an aisle seat is .30.
You however think that this is not the case. With the help of your friend that works for the
airline, you collect anonymous data over random bookings. Below are the results:
Middle seat Aisle seat
40
15
Window seat
22
Write down the proper null and alternative hypotheses.
Define the appropriate test statistic and calculate its value.
c)
Find the p-value. (Use the table, not the calculator. Indicate the correct degrees
of freedom. You can indicate a range instead of the precise value for the p-value if needed).
d)
Write an appropriate conclusion. Use significance level 0.05.
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