Sophia Unit 5 Milestone Inroduction To Statistics Questions And Answers

Select the statement that correctly describes a Type II error. A Type II error occurs when the null hypothesis is accepted when it is actually false. A Type II error occurs when the null hypothesis is rejected when it is actually false. A Type II error occurs when the null hypothesis is rejected when it is actually true. A Type II error occurs when the null hypothesis is accepted when it is actually true. RATIONALE Recall a Type II error is when we incorrectly accept a false null hypothesis. In this case, we want to reject H₀ and conclude there is evidence Hₐ is correct. CONCEPT Type I/II Errors 3 Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. What is the standard error of the sample proportion? Answer choices are rounded to the thousandths place. 0.033 0.015 0.532 0.080 RATIONALE We can note the SE of the proportion is . 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 4 Which of the following is an example of a statistic? All 25 students in a third grade class are asked to rank their favorite fruits. Fifty households randomly sampled in one county have a mean weekly amount spent on groceries. Fifty employees in a small business are randomly selected to take a survey. A local newspaper reporter asks 50 citizens for their opinion on a recent city ordinance. RATIONALE A sample is a subset of the entire group of interest. A statistic is something that comes from a sample. Since these 50 households are only a subset of all in the population, this is an example of a statistic from a sample. CONCEPT Sample Statistics and Population Parameters 5 A coin is tossed 50 times, and the number of times heads comes up is counted. Which of the following statements about the distributions of counts and proportions is FALSE? The distribution of the count of getting tails 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 heads can be approximated with a normal distribution. RATIONALE If we look at the counts from a large population of success and failures (2