In this section, we assumed that the sample size was less than 5% of the size of the population. When sampling without replacement from a ﬁnite population in which n > 0.05N, the standard deviation of the distribution of pn is given by
where N is the size of the population. A survey is conducted at a college having an enrollment of 6502 students. The student council wants to estimate the percentage of students in favor of establishing a student union. In a random sample of 500 students, it was determined that 410 were in favor of establishing a student union.
Answer to relevant QuestionsFind the critical t-value for constructing a conﬁdence interval for a population mean at the given level of conﬁdence for the given sample size,n. (a) 99% conﬁdence;n = 18 (b) 90% conﬁdence;n = 27 A simple random sample of sizen is drawn from a population that is known to be normally distributed.The sample mean, x, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct ...Find the critical t-value for constructing a conﬁdence interval about a population mean at the given level of conﬁdence for the given sample size,n. (a) 96% conﬁdence; n = 26 (b) 98% conﬁdence; n = 18 Determine the point estimate of the population proportion, the margin of error for each conﬁdence interval, and the number of individuals in the sample with the speciﬁed characteristic, x, for the sample size ...In response to the Great Depression, Franklin D. Roosevelt enacted many New Deal policies. One such policy was the enactment of the National Recovery Administration (NRA), which forced business to agree to wages and prices ...
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