Standard Error and Confidence Intervals for Differences in Sample Proportions, Quizzes of Statistics

Download Standard Error and Confidence Intervals for Differences in Sample Proportions and more Quizzes Statistics in PDF only on Docsity! Consider random samples of size 253 drawn from population A with proportion 0.10 and random samples of size 265 drawn from population B with proportion 0.22. Find the standard error of the distribution of differences in sample proportions, ��^−��^ 0.032 0.42 0.25 0.12 Question 2 1 / 1 pts Consider random samples of size 253 drawn from population A with proportion 0.10 and random samples of size 265 drawn from population B with proportion 0.22. For the distribution of differences in sample proportions, ��^−��^, are the sample sizes large enough for the Central Limit Theorem to apply? No No answer text provided. No answer text provided. Yes Question 3 1 / 1 pts Situations comparing two proportions are described. In each case, determine whether the situation involves comparing proportions for two groups or comparing two proportions from the same group. State whether the methods of this section apply to the difference in proportions. Compare the proportion of students who use a Windows-based PC to the proportion who use a Mac. This situation involves comparing. two groups No answer text provided. one group No answer text provided. Question 4 1 / 1 pts Situations comparing two proportions are described. In each case, determine whether the situation involves comparing proportions for two groups or comparing two proportions from the same group. State whether the methods of this section apply to the difference in proportions. Compare the proportion of students who use a Windows-based PC to the proportion who use a Mac. Do the methods of this section apply to the difference in proportions? No Yes Question 8 1 / 1 pts Situations comparing two proportions are described. In each case, determine whether the situation involves comparing proportions for two groups or comparing two proportions from the same group. If we are comparing p1= the proportion of math majors who are women to p2= the proportion of math majors who are men, then we are comparing proportions for two different groups. True No answer text provided. No answer text provided. False Question 9 1 / 1 pts Find the mean/standard error of the sampling distribution of differences in sample proportions, �1^−�2^ n1=50 from p1=0.6 and n2=80 from p2=0.2 Round your answers to three decimal places, if necessary. shape unknown with mean = 0.4; standard error = 0.0068 shape unknown with mean = -0.4; standard error = 0.0068 approximately normal with mean = 0.4; standard error = 0.082 There is not enough information to describe the distribution. approximately normal with mean = -0.4; standard error = 0.0068 Question 10 1 / 1 pts To construct a confidence interval for the difference of two population proportions the samples must be independently obtained random samples, and both n1�1^≥ 10, n1 (1 - �1^) ≥10 and n2 �2^≥ 10, n2 (1 - �2^) ≥ 10 must be true. only one of n1�1^ ≥10, n1 (1 - �1^) ≥10 or n2 �2^≥ 10, n2 (1 - �2^) ≥ 10 must be true. �1�1^(1−�1^)�2�2^(1−�2^)≥100 �1�1^(1−�1^)+�2�2^(1−�2^)≥20 Question 11 1 / 1 pts Use the given degree of confidence and sample data to construct a confidence interval for the differences in population proportion. A survey asked a random sample of n=2752 US adults whether they had visited a public library in the last 12 months. The results for males and females are shown in the table below. Yes No Total Females 726 697 1423 Males 505 824 1329 Total 1231 1521 2752 Find ��^ and ��^ , the sample proportions who have visited a public library in the last 12 months, for females and males respectively. What is the difference in sample proportions ��^−��^? 0.130 0.178 0.080 -0.178 Question 12 1 / 1 pts Use the given degree of confidence and sample data to construct a confidence interval for the differences in population proportion. A survey asked a random sample of n=2752 US adults whether they had visited a public library in the last 12 months. The results for males and females are shown in the table below. Yes No Total Females 726 697 1423 Males 505 824 1329 Total 1231 1521 2752 Will the distribution of ��^−��^ be approximately normal? Yes No answer text provided. No No answer text provided. Question 13 1 / 1 pts Use the given degree of confidence and sample data to construct a confidence interval for the differences in population proportion. A survey asked a random sample of n=2752 US adults whether they had visited a public library in the last 12 months. The results for males and females are shown in the table below. Yes No Total Females 726 697 1423 Males 505 824 1329 Total 1231 1521 2752 Can we conclude from the confidence interval that there is a difference in proportions? No answer text provided. Yes No No answer text provided. Question 17 1 / 1 pts Use the given degree of confidence and sample data to construct a confidence interval for the differences in population proportion. A survey asked a random sample of n=2752 US adults whether they had visited a public library in the last 12 months. The results for males and females are shown in the table below. Yes No Total Females 726 697 1423 Males 505 824 1329 Total 1231 1521 2752 Are males or females more likely to visit the public library? No answer text provided. Female Male No answer text provided. Question 18 1 / 1 pts In a 2012 survey, Gallup asked a random sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Of the 504 males they surveyed, 391 said that they would prefer to have a job outside of the home. Of the 473 females they surveyed, 254 said that they would prefer a job outside of the home. �^�= sample proportion of males who would prefer to have a job outside of the home �^�= sample proportion of females who would prefer to have a job outside of the home Will the distribution of �^�−�^� be approximately normal? No answer text provided. Yes No No answer text provided. Question 19 1 / 1 pts In a 2012 survey, Gallup asked a random sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Of the 504 males they surveyed, 391 said that they would prefer to have a job outside of the home. Of the 473 females they surveyed, 254 said that they would prefer a job outside of the home. �^�= sample proportion of males who would prefer to have a job outside of the home �^�= sample proportion of females who would prefer to have a job outside of the home Construct a 99% confidence interval for the difference between the proportion of men and women who would prefer to have a job outside the home. Use three decimal places when computing the sample proportions and margin of error. (0.170, 0.308) (0.181, 0.297) (-0.308, -0.170) (0.163, 0.315) Question 20 1 / 1 pts In a 2012 survey, Gallup asked a random sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Of the 504 males they surveyed, 391 said that they would prefer to have a job outside of the home. Of the 473 females they surveyed, 254 said that they would prefer a job outside of the home. �^�= sample proportion of males who would prefer to have a job outside of the home �^�= sample proportion of females who would prefer to have a job outside of the home 0.0280 0.0000 0.0044 0.0056 Question 24 1 / 1 pts In a 2012 survey, Gallup asked a random sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Of the 504 males they surveyed, 391 said that they would prefer to have a job outside of the home. Of the 473 females they surveyed, 254 said that they would prefer a job outside of the home. �^�= sample proportion of males who would prefer to have a job outside of the home �^�= sample proportion of females who would prefer to have a job outside of the home Test at a 1% significance level, the proportion of men who would prefer a job outside of the home is significantly larger than the proportion of women who would prefer a job outside of the home. Do not reject H0 and we have very strong evidence to supporte the claime that the proportion of men who would prefer a job outside of the home is significantly larger than the proportion of women who would prefer a job outside of the home. Reject H0 and insufficient evidence to supporte the claim that the proportion of men who would prefer a job outside of the home is significantly larger than the proportion of women who would prefer a job outside of the home. Do not reject H0 and insufficient evidence to supporte the claim that the proportion of men who would prefer a job outside of the home is significantly larger than the proportion of women who would prefer a job outside of the home. Reject H0 and we have very strong evidence to supporte the claim that the proportion of men who would prefer a job outside of the home is significantly larger than the proportion of women who would prefer a job outside of the home.