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ADMS 2320 Final: Chapter 12 Practice MCQ for final exam.doc

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apricotseal471
17 Jun 2013
School
York University
Department
Administrative Studies
Course
ADMS 2320
Professor
Marwan Hassan

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Document Summary

In the following multiple-choice questions, please circle the correct answer. 5. let p = 0. 50 let p = 0. 95. The use of the standard normal distribution for constructing confidence interval estimate for the population proportion p requires: a. ) are both greater than 5, where p denotes the sample variance pn and n proportion. 1( - p c c: np and n(1-p) are both greater than 5, n(p+ p ) and n(p- p ) are both greater than 5, that the sample size is greater than 5. The lower limit of a confidence interval at the 95% level of confidence for the population proportion if a sample of size 200 had 40 successes is: 0. 2554, 0. 1446, 0. 2465, 0. 1535. Assuming that all necessary conditions are met, what needs to be changed in the formula tp a. Suppose that a one-tail t test is being applied to find out if the population mean is less than 100.

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Related Questions

6. As the test statistic becomes larger, the p-value

(a) gets smaller

(b) becomes largerĀ 

(c) stays the same, since the sample size has not been changed

(d) becomes negative.

Ā 

7. To describe the sampling distribution of the sample proportion, we use

(a) The sample proportionĀ 

(b) The population proportionĀ 

(c) The population mean

(d) The population mean

Ā 

8. When small samples are used to estimate a population mean, in cases where the population standard deviation is unknown and the original distribution is normal:

(a) There always will be a large amount of sampling error.

(b) the t-distribution must be used to obtain the critical value.

(c) the resulting margin of error for a confidence interval estimate will tend to be fairly small.

(d) the z distribution must be used to obtain the critical value.

Ā 

Ā 

Never forget that even small effects can be statistically significant if the samples are large. During a three-year period, 8 of the 57 headed by men and 6 of the 35 headed by women failed.

(a) Find the proportions of failures for businesses headed by women and businesses headed by men. These sample proportions are quite close to each other. Give the p-value for the hypothesis that the same proportion of women's and men's businesses fail. (Use two-sided alternative). What can we conclude (use alpha as 0.05)?

The p-value was ___________ so we conclude that ____________.

Ā 

(b) Now suppose that the same sample proportion came from a sample 30 times as large. That is 180 out of 1050 businesses headed by women and 240 out of 1710 businesses headed by men fail. Verify that the proportions of failures are exactly the same as in part (a). Repeat the test for the new data. What can we conclude?

The p-value was ___________ so we conclude that ____________.

c) It is wise to use a confidence interval to estimate the size of an effect rather than just giving a p-value. Give 95% confidence intervals for the difference between proportions of men's and women's businesses that fail for the settings of both (a) and (b).

Interval for smaller samples: ___________ to ___________.

Interval for larger samples: ___________ to ___________.

What is the effect of larger samples on the confidence interval?

Ā 

. SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first-year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample? Make sure to give a whole number answer

2. We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 354 had kids. Based on this, construct a 95% confidence interval for the proportion, p, of adult residents who are parents in this county.
Give your answers as decimals, to three places.