7. In a large university (45,000 students) it is known that 71% of the students live on campus. a) If we considered samples of 200 students, describe the sampling distribution of the sample proportion of students who live on campus. (Hint – we said there were three things you needed to mention in a full description, and there is check you must perform to be able to describe one of those 3 things!) [3] b) Show the work in finding the probability that in a sample of 200 students at this university more than 75% live on campus. [3]
A) = P = 0.71
= sqrt(P(1 - P)/n)
= sqrt(0.71 * (1 - 0.71)/200)
= 0.0321
B) P( > 0.75)
= P(( - )/ > (0.75 - )/)
= P(Z > (0.75 - 0.71)/0.0321)
= P(Z > 1.25)
= 1 - P(Z < 1.25)
= 1 - 0.8944
= 0.1056
7. In a large university (45,000 students) it is known that 71% of the students live...
live off campus, a taken. A large university has 52,864 students and of these 19,037 off campus, a random sample of 200 students is find expected of students campus. value our and standard error of number random sample that live off in Show work Find expected value and standard error of the percentage of students in our random sumple that live off campus. Show Work
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80% of students at Merrimack College live on campus (normally— not during a pandemic). 120 randomly selected students at Merrimack are surveyed and asked their living situation. Let p̂ be the proportion of students in the sample survey who report they live on campus. a. Find the mean and standard deviation of the sampling distribution of p̂. b. Use normalcdf with the sample proportion p̂ to determine the probability that at least 75% of the students in the survey live...
Among 20,000 students at a certain university, 45% live off campus. Suppose we take a random sample of 400 students. With 95% certainty, what percent of students live off campus?
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A study is conducted to determine what percentage of students live on campus at a large university. In a random sample found of 50 male students, it was found that that 27 of them lived on campus. In a sample of 55 female students, it was found that 40 lived on campus. At the .05 level of significance, does this sample data provide sufficient evidence to conclude that a difference exists between the proportion of male students who live on...
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In a local university, 66% of the students live in the dormitories. A random sample of 80 students is selected for a particular study. We know that the standard error of the proportion is 0.0530. Find the probability that the sample proportion (the proportion living in the dormitories) is between 0.65 and 0.68.
QUESTION 7 1 poit Exhibit 7-3 In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study Refer to Exhibit 7-3. The probability that the sample proportion (the proportion living in the dormitories) is at least 0.30 is O 0.4664 O 0.9328 0.9664 0.0336