2. Some boxes of a certain brand of breakfast cereal include a voucher for a free video rental inside the box. The company that makes the cereal claims that a voucher can be found in 20% of the boxes. However, based on their experiences eating this cereal at home, a group of students believe that the proportion of boxes with vouchers is less than 0.2. This group of students purchased 65 boxes of the cereal to investigate the company's clam. In words: Но: На: In symbols: Но: На:

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 217 out of a random sample of 265 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 0.05 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. H₁ :0 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.) (d) Find the critical…

Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who make a donation when asked for a donation in a text message. In this experiment, 1.7% of those who received and opened an email request for a donation and 7.8% of those who received a text message asking for a donation actually made a donation. Assume that the people who received these requests were randomly assigned to one of the two groups (email or text message) and suppose that the given percentages are based on sample sizes of 2,000 (the actual sample sizes in the experiment were much larger). (Let p1 be the proportion who make a donation after receiving an email, and p2 be the proportion who make a donation after receiving a text message.) Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two…

A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance.  Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 330 345 452 270 298 286 537 744 Employee 317 350 473 280 307 283 523 769    Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. multiple choice 1 H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0.  (b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc <  or…