A group of 1280 students were asked which electronic device they preferred. The results perage group are given in the following table.Preferred deviceLaptopTablet11-1314320572420Age14-16160224128512(b)(c)(d) (i)(ii)(iii)17-18153131Mobile phoneTotal(a)A student from the group is chosen at random. Calculate the probability that the studentTotal456560264128064348(i)prefers a tablet.(ii)is 11-13 years old and prefers a mobile phone.(ii)prefers a laptop given that they are 17-18 years old.(iv)prefers a tablet or is 14-16 years old.A x² test for independence was performed on the collected data at the 1% significance level.The critical value for the test is 13.277.State the null and alternative hypotheses.Write down the number of degrees of freedom.Write down the x² test statistic.Write down the p-value.State the conclusion for the test in context. Give a reason for your answer.

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Answered: A group of 1280 students were asked…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A group of people were asked if they had run a red light in the last year. 312 responded "yes", and 163 responded "no". If a person is chosen at random, find the probability that she or he had run a red light in the last year. Give your answer as a fraction or decimal, rounded to 4 decimal places.
In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 203 answered "none," 294 said "one," 364 said "two," 143 said "three," and 139 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05. P(four or more cell phones) = %3D (Round to three decimal places as needed.) Is it unlikely for a household to have four or more cell phones in use? A. Yes, because the probability of a respondent with four or more cell phones in use is less than or equal to 0.05. B. Yes, because the probability of a respondent with four or more cell phones in use is greater than 0.05. C. No, because the probability of a respondent…
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Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table. Drove When Drinking Alcohol? No 3171 4430 Yes Texted While Driving 714 No Texting While Driving 172 If four different high school drivers are randomly selected, find the probability that they all drove when drinking alcohol. The probability that four randomly selected high school drivers all drove when drinking alcohol is (Round to six decimal places as needed.)
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Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a nine and then selecting an eight. The probability of selecting a nine and then selecting an eight is:
The 2010 census found that 13.9% of adults in the United States identified themselves as being of Hispanic origin. An opinion poll plans to interview 1500 adults at random. Find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin. a. 0.017 O b.0.015 Oc.0.983 O d.0.013
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A researcher wanted to study the commuting habits of community college students and faculty. He wanted to compare their mode of transportation to the college. He asked if they walk, bike, or drive to campus. The following table represents the data that was collected. Walks to campus Bikes to campus Drives to campus Total Students 70 22 78 170 Faculty 5 4 23 32 Total 75 26 101 202 A. Find the probability that a randomly selected member of faculty walks to campus. B. If you are randomly selecting a person from those who bike to campus, what is the probability that you will select a student. C. Perform a Test of Independence to determine if commuting habits are dependent on being a student or a faculty.
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