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Question: The student newspaper at a university in California reported a debate between two student council members, revolving around a survey of students (California Aggie, 8 November 1994, p. 3). The newspaper reported that "according to an AS [Associated Students] Survey Unit poll, 52 percent of the students surveyed said they opposed a diversity requirement." The report said that one council member "claimed that the roughly 500 people polled were not enough to guarantee a statistically sound cross section of the student population." Another council member countered by saying that "three percent is an excellent random sampling, so there's no reason to question accuracy." (Note that the 3% figure is based on the fact that there were about 17,000 undergraduate students currently enrolled at that time.)
a. Comment on the remark attributed to the first council member, that the sample size is not large enough to "guarantee a statistically sound cross section of the population." Is the size of the sample the relevant issue to address his concern?
b. Comment on the remark by the second council member that "three percent is an excellent random sampling, so there's no reason to question accuracy." Is she correct in her use of terminology and in her conclusion?
c. Assuming a random sample was used, produce an interval that almost certainly covers the true percentage of the population of students who oppose the diversity requirement. Use your result to comment on the debate. In particular, do these results allow a conclusion as to whether the majority of students on campus oppose the requirement?
If the desired value for m is 2.5 inches, formulate the appropriate testing hypothesis problem and carry out the test if a = 0.05.
Use the hypergeometric formula to find this probability. The lottery commission also pays if a contestant matches 4 or 5 of the 6 winning numbers. Hint: Divide the 44 numbers into two groups, winning numbers and nonwinning numbers.
Explain carefully why a systematic random sample does give every individual the same chance to be chosen but is not a simple random sample.
the us department of education reports that 46 of full-time college students are employed while attending college. a
Need guidance on how to approach a statistics paper. Problem: utilize statistics to solve a business related problem. The synopsis should include a discussion of the specific problem, the research methodology used, the quantitative and qualitative..
in a certain town 70 people support the construction of a new ballpark. if 5 people are randomly selected what is the
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of the employees needed corrective shoes, 15% needed major dental work, and 3% needed both corrective shoes and major denta..
Suppose a simple random sample of 20 non-English student have an average math score on the SAT exam of 528. What are the appropriate hypotheses?
Compute the following: (Round the value for standard deviation and intermediate calculations to 2 decimal places and your final answer to 4 decimal places.)
Find the probability that 5 randomly selected high school students will say that they exercise regularly. Express your answer for this item in percent.
what is the area under the standard normal distribution curve between z 1.50 and z
Wind Speeds. The average wind speed in Casper, Wyoming, has been found to 12.7 miles per hour, and in Phoenix, Arizona, it is 6.2 miles per hour.
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