The number of undergraduates at Johns Hopkins University is approximately 2000, while the number at Ohio State University is app
roximately 40,000. A simple random sample of 50 undergraduates at Johns Hopkins University will be obtained to estimate the proportion of all Johns Hopkins students who feel that drinking is a problem among college students. A simple random sample of 50 undergraduates at Ohio State University will be obtained to estimate the proportion of all Ohio State students who feel that drinking is a problem among college students. What can we conclude about the sampling variability in the sample proportion, p with hat on top, calculated from the sample at Johns Hopkins as compared to that in the sample proportion from Ohio State
1 answer:
Answer:
The answer is "Option C"
Step-by-step explanation:
please find the complete question in the attached file:
Its ratio of samples by Johns Hopkins will be about the equivalent than those from Ohio State because sample varying depending on the sample, each of them would have the same variability also like the amount, that's why he assumes the variance of sample sizing in the sample percentage p with both the hat above, relative to the confidence interval in Ohio State determined from its Johns Hopkins test.
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Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have . So
Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have .
Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have .
Due to the higher Z-score, Demetria should be offered the job.