The Diversity, Equity, and Inclusion (DEI) office of a major multinational bank is investigating the process used to make recent hires for financial analysts. The office knows that exactly 16% of all applications were from minority candidates and that exactly 15% of the open positions were filled by members of a minority. For the investigation, the DEI office will take a random sample of 2100 applications. Let p be the proportion of minority applicants in the sample. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P ≤0.15), which is the probability that there will be fewer minority applicants in the sample than were hired by the bank. Round your answer to four decimal places. X S

Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 75% . After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 75% . A poll is commissioned, and 207 out of a random sample of 275 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.01 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)     (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use.   ▼(Choose one)   (c) Find the value of the test statistic. (Round…

In 1942, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 440 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 418 indicated that they were total abstainers. Complete parts (a) and (b) below. (a) Determine the sample proportion for each sample. and respectively. The proportions of the adults who took the 1942 survey and the recent survey who were total abstainers are (Round to three decimal places as needed.)

According to the National Center for Education Statistics, 43% of the college students work full time. A survey of 900 randomly selected college students is to be conducted. For such groups of 900, would it be unusual to get 735 college students who work fulltime?

To collect data about the number of students in your high school who have a part time job, which of the following methods is most likely to lead to a sample that is the most representative of the students in your school? Interview all the girls in the school. Ask the principal. Interview all the students in 9th grade. Assign each student in the school a number and randomly select students to be interviewed. Interview all the students who are on the sports teams in the school.

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are not enrolled in school and have not earned a high school credential. In 2009, the high school dropout rate was 8.1%. A polling company recently took a survey of 1000 people between the ages of 16 and 24 and found 6.5% of them are high school dropouts. The polling company would like to determine whether the dropout rate has decreased at a 5% significance level. reject HO we can conclude that the high school dropout rate has decreased reject HO we cannot conclude that the high school dropout rate has decreased do not reject HỒ we cannot conclude that the high school dropout rate has decreased do not reject HỒ we can conclude that the high school dropout rate has decreased

Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within 2 percentage points of the true population proportion of customers who click on ads on their smartphones?