STAT 200 Quiz 4 Questions and Answers Complete A+ Guide [Latest Update]

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Question 1 Many high school students take the AP tests in different subject areas. In 2007, of the 211,693 students who took the calculus AB exam 102,598 of them were female and 109,095 of them were... male ("AP exam scores," 2013). Estimate the difference in proportion of female students taking the calculus AB exam versus male students taking the calculus AB exam using a 90% confidence level. (i) Enter the level of significance α used for this test: Enter in decimal form to nearest hundredth. Examples of correctly entered answers: 0.01 0.02 0.05 0.10 0.90 ANSWER: 0.10 (ii) Determine p ^ female exam takers and p ^ male exam Enter both in decimal form to nearest ten-thousandth, separated by comma (no spaces) Examples of correctly entered answers: 0.0001,0.0341 0.0020,0.0500 0.3000,0.7115 ANSWER: 0.4847, 0.5153 (iii) Determine Z score corresponding to desired confidence level Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers: 2.013 –0.137 0.600 0.005 ANSWER: 1.645 (iv) Determine error bound of the proportion: Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers: 0.0000 0.0010 0.0300 0.6000 0.8147 2.0000 ANSWER: 0.0025 (v) Let "p1" refer to proportion of children diagnosed with ASD in Pennsylvania. Let "p2" represent proportion of children diagnosed with ASD in Utah. Determine the confidence interval of the proportion difference p1 – p2: Enter lower bound value to nearest ten-thousandth, followed by < , followed by "p1-p2" for proportion difference or "μ1-μ2" for mean, followed by <, followed by upper bound value to nearest ten-thousandth. No spaces between any characters. Do not use italics. Examples of correctly entered answers: 0.7754<p1-p2<0.7831 13.1224<μ1-μ2<13.9976 -9.7261<μ1-μ2<-8.0833 ANSWER: -0.0331 < p1-p2 < -0.0278 (vi) Using the confidence interval, select the correct description of the result of the survey: A. We estimate with 90% confidence that the true proportion of female students taking the calculus AB exam is anywhere from 2.78% to 3.31% higher than the proportion of male students taking the calculus AB exam. B. We estimate with 90% confidence that the true proportion of male students taking the calculus AB exam is anywhere from 2.78% to 3.31% lower than the proportion of female students taking the calculus AB exam. C. We estimate with 90% confidence that the true mean population of female students taking the calculus AB exam is anywhere from 2.78% to 3.31% higher than the true mean population of male students taking the calculus AB exam. D. We estimate with 90% confidence that the true proportion of female students taking the calculus AB exam is anywhere from 2.78% to 3.31% lower than the proportion of male students taking the calculus AB exam. Enter letter corresponding to most correct answer ANSWER: D Question 2 Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? In the state of Pennsylvania, a fairly urban state, there are 245 eight year olds diagnosed with ASD out of 18,440 eight year olds evaluated. In the state of Utah, a fairly rural state, there are 45 eight year olds diagnosed with ASD out of 2,123 eight year olds evaluated ("Autism and developmental," 2008). Is there enough evidence to show that the proportion of children diagnosed with ASD in Pennsylvania is more than the proportion in Utah? Test at the 1% level. (i) Let p1 = proportion of children diagnosed with ASD in Pennsylvania and p2 = proportion of children diagnosed with ASD in Utah. Which of the following statements correctly defines the null hypothesis HO? A. p1 + p2 > 0 B. p1 + p2 = 0 C. μ1 = μ2 D. p1 = p2 Enter letter corresponding to correct answer ANSWER: D (ii) Let p1 = proportion of children diagnosed with ASD in Pennsylvania and p2 = proportion of children diagnosed with ASD in Utah. Which of the following statements correctly defines the alternate hypothesis HA? A. p1 – p2 < 0 B. p1 – p2 = 0 C. μ1 = μ2 D. p1 – p2 > 0 Enter letter corresponding to correct answer ANSWER: D (iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10 ANSWER: 0.01 (iv) Determine p ˆ Pennsylvania and p ˆ Utah Enter both in decimal form to nearest ten-thousandth, separated by comma (no spaces) Examples of correctly entered answers: 0.0001,0.0341 0.0020,0.0500 0.3000,0.5115 ANSWER: 0.0133, 0.0212 (v) Find pooled sample proportion p ¯ ¯ Let p ˆ Pennsylvania = p ˆ 1 and p ˆ Utah = p ˆ 2 Enter in decimal form to nearest ten-thousandth. Examples of correctly entered answers: 0.0001 0.0020 0.0500 0.3000 0.5115 ANSWER: 0.0141 (vi) Calculate and enter test statistic Enter value in decimal form rounded to nearest thousandth, with appropriate sign (no spaces). Examples of correctly entered answers: –2.014 –0.370 +1.600 +11.009 ANSWER: -2.924 (vii) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic. Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers: 0.000 0.001 0.030 0.600 0.814 1.000 ANSWER: 0.9983 [Show More]

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