It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 210 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.

The following table gives the proportion of samples of college students in Washington as compared to Texas who support the idea of mandatory mental health counseling once a week for all college students for one year as a prerequisite to graduate with a degree. Texas College Students Washington College Students Number of Yes 42 60 Number of No 58 40

Suppose you just graduated with an accounting degree and are trying to choose an accounting firm to begin your career.  You spent hours researching many firms and have narrowed your search down to three (i.e. Aguilar, Brown and Cheng).  You have surveyed accountants to determine if the average incomes at each firm are equal between each of your top three choices.  Obviously you want to join the firm with the highest average pay.  Below are a sample of salaries (i.e. eight individuals from each firm) enabling you to test the hypothesis that the average pay (in thousands of $) is equal between employers.  Use Fisher's LSD procedure (if necessary) to test whether there is a significant difference between any of the firms.  (Show work for full credit, 10 pts)     Aguilar Brown Cheng 72 98 80 81 60 54 103 87 60 94 69 45 64 72 53 58 67 42 70 74 67 71 78 80   Using a .05 level of significance complete the hypothesis test below. A. State the null and alternative…

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 212 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 0.10 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 H, and the alternative hypothesis H₁. HO H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical…