Question 4 At A Small College There Are A Total Of 1000 Students Who Are Taking Math The Dean Of Science Randomly S 1 (153.02 KiB) Viewed 22 times
Question 4 At A Small College There Are A Total Of 1000 Students Who Are Taking Math The Dean Of Science Randomly S 2 (114.9 KiB) Viewed 22 times
Question 4 < > At a small college there are a total of 1000 students who are taking math. The Dean of Science randomly samples 55 of those students and 21 of them were planning on taking another math course. Check the criteria for calculating a 99% confidence interval of the proportion of students at this college who are planning on taking another math class. a) p = Round to 4 decimal places, if needed. Check requirements: b) Is this a random sample or a randomized experiment? O no Oyes c) Are the observations independent? Check this by using n < 0.05N. < 0.05N What does this tell us about the required population size? Round to 1 decimal place, if needed. NZ This means that It is impossible to tell whether the observations are independent or not with the given information. The observations are independent because the sample size is less than 5% of the population size, i.e. n < 0.05N The observations are NOT independent because the sample size is NOT less than 5% of the population size, i.e. n > 0.05N
- d) Is the sample size large enough? Check this by using np > 10 and n(1-) > 10. Round to the nearest whole number. пр n(1-P) = This means that the sampling distribution of p is Unknown shape because not enough information is given in the problem. O Approximately Normal because np > 10 and n(1 -ộ) > 10. O Approximately Normal regardless of sample size. O Approximately Normal because no <10 and n(1-P) < 10. O Approximately Normal because the sample size n > 30. O Not Normal because np and n(1-P) are not both greater or equal to 10. The criteria to calculate a confidence interval are satisfied? Oyes Ono
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