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Sophia introduction to statistics milestone 5

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Which of the following statements about the distributions of counts and proportions is FALSE? The distribution of the count of getting heads can be approximated with a normal distribution. The count of getting ...

Which of the following statements about the distributions of counts and proportions is FALSE? The distribution of the count of getting heads can be approximated with a normal distribution. The count of getting heads is a binomial distribution. The count of getting heads from a sample proportion of size 20 can be approximated with a normal distribution. The distribution of the count of getting tails can be approximated with a normal distribution. RATIONALE If we look at the counts from a large population of success and failures (2 outcomes), this is called a binomial distribution, not a normal distribution. CONCEPT Distribution of Sample Proportions 2 Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He defined the label “smoking regularly” for males smoking 30 or more cigarettes in a day and for females smoking 20 or more. Out of 635 persons who took part in the survey, 71 are labeled as people who smoke regularly. What is the standard error for the sample proportion? Answer choices are rounded to the thousandths place. 0.112 2.818 2.778 0.013 RATIONALE We can note the SE of the proportion is square root of fraction numerator p with hat on top q with hat on top over denominator n end fraction end root. If we note that , which means . So if we take all this information we can note SE = . CONCEPT Calculating Standard Error of a Sample Proportion 3 What do the symbols , , and represent? Population parameters Variables of interest Sample statistics Defined variables RATIONALE Recall that pis the population proportion, sigma is the population standard deviation, and mu is the population mean. Since all these values come from the population, they are parameters. CONCEPT Sample Statistics and Population Parameters 4 Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He defined the label “smoking regularly” for males smoking 30 or more cigarettes in a day and for females smoking 20 or more. Out of 635 people who took part in the survey, 71 are labeled as people who smoke regularly. CONTINUED.......................

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