1-4_examples - Student Grady Sinlonton Colu'se 1-Iat11119 Elementary Statistics Spring 2010 C‘RN 49239 Instructor Shawn Pan'ini 16 weeks Date

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Unformatted text preview: Student: Grady Sinlonton Colu'se: 1\-Iat11119: Elementary Statistics - Spring 2010 - C‘RN: 49239 Instructor: Shawn Pan-'ini - 16 weeks Date: 3.-"'18.-"'10 Book: T1‘iola: Elementary Statistics. Me Time: 10:52 AM 11 3. Convert the fraction 5 to an equivalent percentage. b. Convert 63.5% to an equivalent decimal. c. What is 82% of 50‘:l (1. Convert 0.261 to an equivalent percentage. 3. To convert from a fraction to a percentage, divide the denominator into the numerator to get an equivalent decimal number, then multiply by 100 and affix the % symbol. First, divide the numerator by the denominator. 11 — = 0.55 20 Now multiply by 100%. 0.55 X 100% = 55% 1] Thus, 5 is equivalent to 55%. b. To convert from a percentage to a decimal number, delete the % symbol and divide by 100. Divide by 100. 63.5 635V = — = 0.635 ° 100 Thus, 63.5% is equivalent to 0.635. c. To find some percentage of an amount, drop the % symbol and divide the percentage value by 100, then multiply. First, divide by 100. 82 82% of 50 _ X 50 — 100 82 — 0.82 100 2 Now multiply by 50. 0.82 X 50 = 41 Thus, 82% of 50 is 41. d. To convert from a decimal to a percentage, multiply by 100%. Page 1 Student: Grady Sinlenten Course: 1\-Iat11119: Elenlentaiy Statistics - Spring 3010 - C‘RN: 49339 Instructor: Shawn Pan-'ini - 16 weeks Date: 3.-"'18.-"'10 Book: T1‘iela: Elenlentaiy Statistics. 11e Time: 10:53 AM Multiply by l00%. 0.261 X 100% = 26.1% Thus, 0.261 is equivalent to 26.1%. Page 3 Student: Grady Silnonton Colu'se: 1\-Iat11119: Elementaiy Statistics - Spring 3010 - C‘RN: 49339 Instructor: Shawn Pan-ini - 16 weeks Date: 3.-"'18.-"'10 Book: T1‘iola: Elementaiy Statistics. Me Time: 10:53 AM a. In a poll, 53% of 1356 surveyed adults said that global warming is l'very alarming". What is the actual number of adults who said that global warming is "very alarming"? b. Among the 1356 surveyed adults, 213 said that global warming is "not at all alarming". What is the percentage of people who chose "not at all alarming"? a. To find some percentage of an amount, drop the % symbol and divide the percentage value by 100, then multiply. 53 To find 53% of 1356 adults surveyed, calculate 100 X 1356. First. divide 53 by 100. 53 — = 0.53 100 Next, multiply 0.53 by 1356. 0.53 X 1356 as 719 Thus, T19 adults said that global warming is alarming. b. To find some percentage, divide the sample value by the total value, and multiply by 100%. First, figure out which number is the sample, and which is the result. A sample is a subcollection of members selected from a population. The sample in this example is 1356. The results ofa survey are the data collected in the survey. The result in this example is 213. First, divide 213 by 1356. 213 —.=0.15? 1356 Now, multiply 0.]57 by 100%. 0.15? X 100% =15.?% Thus, 213 is 15.7% of 1356. Page 1 Student: Grady Sinlonton Colu'se: 1\-Iat11119: Elenlentaiy Statistics - Spring 3010 - C‘RN: 49339 Instructor: Shawn Pan-'ini - 16 weeks Date: 3.-"'18.-"'10 Book: T1‘iola: Elenlentaiy Statistics. Me Time: 10:53 AM An online polling site posed this question: "How much stock do you put in long-range weather forecasts?" Among its Web site users, 39,212 chose to respond. Complete parts (a) through (0) below. 3. Among the responses received, 8% answered with l'a lot." What is the actual number of responses consisting of "a lot"? To find a percentage ofan amount, drop the % symbol and divide the percentage value by 100, then multiply by the amount. Find 8% of 39,212, rounding to the nearest integer as needed. 8 39 £39,212: “0 100 X 39,212= 313? Thus, the actual number of responses consisting of "a lot'I is approximately 3137. b. Among the responses received, 19,21 1 consisted of"very little or none." What percentage of responses consisted of "very little or none"? 19,211 . To 39,212 convert from a fraction to a percentage, divide the denominator into the numerator to get an equivalent decimal number, then multiply by 100 and affix the % symbol. Note that 19,211 of39,212 respondents answered with l'very little or none." This corresponds to the fraction 19,2] 1 Convert the fraction m to a percentage, rounding to the nearest integer as needed. 19,211 — = 49% 39,212 Thus, approximately 49% of responses consisted of "very little or none." c. Because the sample size of 39,212 is so large, can we conclude that about 8% ofthe general population puts "a lotII of stock in long-range weather forecasts? Why or why not? Note that the sample is a voluntary response sample. A voluntary response sample (or self-selected sample) is one in which the respondents themselves decide whether to be included. With such voluntary response samples, we can only make valid conclusions about the specific group of people who chose to participate. Use this information to determine what conclusion can be made. Page 1 ...
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This note was uploaded on 05/21/2010 for the course MATH 49239 taught by Professor Parvini during the Spring '10 term at Mesa CC.

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1-4_examples - Student Grady Sinlonton Colu'se 1-Iat11119 Elementary Statistics Spring 2010 C‘RN 49239 Instructor Shawn Pan'ini 16 weeks Date

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