Statistics > QUESTIONS & ANSWERS > STAT 200 Quiz 4 Questions and Answers Complete A+ Guide [Latest Update] (All)

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

Document Content and Description Below

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 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]

Last updated: 3 years ago

Preview 1 out of 46 pages

Buy Now

Instant download