It has been reported by the professors in many Computer Science departments that the drop-out rate is very high. For this reason, a survey has been applied to 500 students randomly chosen from 5 Computer Science departments and the study reported that students with low income are more likely to drop out. This statement is an example of inferential statistics. O True O False
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- The dean at a large college wants to determine the average SAT scores for students who apply from New York. She surveyed 80 students from New York and discovered a mean SAT score of 1,512. Which of the statements below represent the statistic and the sample, respectively, of the survey? I. The mean SAT score of all students from New YorkII. The mean SAT score of 80 students from New YorkIII. The 80 students who apply to the college from New YorkIV. All students who apply to the college from New York a Statements I and II b Statements II and III c Statements I and IV d Statements II and IVIn 2013 students from a Statistics class at FSEV UK were asked to survey their friends who were 15-30 years old, in order to explore the interests of young people. The survey has a variety of questions, which are detailed in the Survey Key. For example, the column header “Music” is short for the question “I enjoy listening to music” and is rated 1-5, where 1 represents strongly disagree and 5 represents strongly agree. There is also some categorical data present as well. Survey participants record their gender, how often they smoke/drink, their internet usage, and education (just to name a few!). Please perform a hypothesis test based on one of the categorical variables and one survey question. For example, you could choose to prove the following: Survey participants who identify as an “only child” enjoy meeting new people (Survey score ). Here is an example: people who are right-handed (as identified in the data set) enjoy listening to music. Please be sure to use two columns…One study found a negative correlation between participant’s age and hours of sleep they got (as they got older, they slept less). Which additional fact would lead you to believe that the relationship between age and hours of sleep is one of causation and not correlation? Jim is 63 and sleeps more than he did when he 47. Josie is 40 and sleeps fewer hours than when she was 30. The participants were randomly selected, the sample size was large, and the participants did not know the goal of the study. Jennie sometimes has difficulty sleeping.
- A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.The sports coaches at West High School believe that 12% of their students play soccer. In a sample of 155 students, it is found that 21 play soccer. What is the test statistic for testing whether the coaches are correct? Show all calculationSuppose we know that at a University XYZ that 30% of students receive an A in their introductory statistics class, 30% receive a B, 20% receive a C, 10% receive a D, and 10% receive an F. For comparison, a sample of 300 students at University ABC is taken and 20% received an A, 28% received a B, 26% received a C, 15% received a D, and the remaining students failed the class. When testing (at the 5% level of significance) whether the proportions between the two universities are different, what is the null and alternative hypotheses
- The Literary Digest was an American magazine that ran from 1890–1938. The magazine was famous for correctly predicting presidential winners since 1916 based on poll results. In 1936, however, it erroneously predicted that Alfred Landon would defeat Franklin Delano Roosevelt. This fiasco ultimately resulted in the magazine going out of business. The reason for The Literary Digest’s incorrect results has been studied throughout the years and is a famous example in statistics classes. One reason that researchers have found for the faulty results is that even though the magazine polled ten million people, the return rate of the surveys was around 23%. What type of bias is this? voluntary response bias non-response bias self-interest study loaded questions sampling bias perceived lack of anonymity response biasA psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. The data: Achievement_Group Cheat 1 20 1 40 1 49 1 50 1 51 1 51 1 52 1 53 1 58 1 42 1 48 1 48 1 52 1 55 1 55 1 56 1 59 1 67 1 80 1 79 2 19 2 25 2 20 2 29 2 24 2 32 2 25 2 27 2 30 2 55 2 40 2 25 2 27 2 35 2 42 2 30 2 30 2 34 2 40 2 27 3 60 3 65 3 69 3 78 3 79 3 80 3 80 3 90 3 95 3 50 3 55 3 55 3 60 3 69 3 70 3 70 3 88 3 90 3 90 3 91 Before opening the data,…One of the theories behind the large polling errors in 2016 election was the "shy Trump voter". According to this explanation, many respondents voted differently than what they told the pollsters. What type of bias does this phenomena introduce to the polls? answer choices 1.Selection bias 2.Response bias 3.Non-response bias 4.Something else
