Pew Research conducted a survey back in March of 2021 that explored the topic of discrimination based on skin color. Suppose this survey included 1,048 Hispanic US adults. In this survey, it was found that 48% of them say discrimination based on race or skin color is a very big problem in the U.S. Use this information to find the 90% confidence interval of the proportion of Hispanic US adults that believe discrimination based on race or skin color is a very big problem in the U.S.

In 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…

A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…

9. A researcher wants to construct a 99% confidence interval for the proportion of Americans who think that the U.S. invading Iraq was an effective step in combating world terrorism. She has no initial idea of what that proportion is. How large should her sample size be if she wants the margin of error to be at most two percent? Show or explain your thinking.