Question

Exercises For Exercises 1) and 2) do the following: a) Write the null and alternative hypothoo symbols. b) Write the direct translation of H1. c) Write the translation sin from the original problem. d) Write what the conclusion would be if you rejected Hle eses ng words Write what the conclusion would be if you failed to reject Ho. 1) A defense attorney is considering requesting a change of venue for his client in whata been a highly publicized case. He surveys a sample of Wudmoor residents and a Chef County residents to see if there is a difference in the proportion who believe his die is guilty. sample d 2) Randomly selected customers from Deli 1 and Deli 2 are asked about their food choice Test the claim that a smaller proportion of Deli 1 customers prefer turkey and Swiss sandwiches compared to Deli 2 customers. 3) Refer to the Sparkelz Gems/Javonn Jewelers data from Exercise 1) in Section 7 Perform an appropriate hypothesis test to see if a smaller percentage of Sparkelz Gems diamonds are color H compared to Javonn Jewelers diamonds. Use a.005 signifcanc 4) Refer to the Jerrell Enterprises and Jaden Industries data from Exercise 2) in Secdoñl A headhunter believes there is a higher proportion of Jerrell Enterprises emplye dissatisfied with their current position at the company than there is at Jaden Does this appear to be a valid belief? With a .10, use an appropriate hypothesis test 8.6 Hypothesis Testing for Two Means le in this section dealing with employed Americans and non- private employers is.15 higher than the proportion of employed non- 5) Refer to the exam employeu who are employed by private employers. Since we are looking for a non-zer Suppose we wanted to see if the proportion of employed Americans who are Aerican Ameoved by ence, we need the following test statistic formula: differenc where (p1-P2) does not equal zero Complete the test at the.05 significance level. 6) Two drugs-Drug A and Drug B-are being tested in a clinical trial. The side effects experienced by each person in the trial are recorded as follows: nausea (n), itching (), headaches (h), fatigue (f), dry mouth (d). With alpha .04, see if the percentage of user who experience nausea with Drug B is more than 20% higher than for Drug A Test and CI for Two Proportions: Drug B, DrugA Event n VariableXN Sample p Drug B 23 460.500000 Drug A 13 50 0.260000 Difference-p (Drug B)p (Drug A) stimate for difference: 0.24 104625 lower bound for difference : 0. est for difference 0.2 (vs> 0.2) 20. in 6)? ) What is the meaning of the significance level

Answer 1

1)

a)

Ho . Po = P1

$H_1:p_0\neq p_1$

p₀ = the proportion of Wudmoor residents who believes his client is guilty

p₁ = the proportion of Chef County residents who believes his client is guilty

b)

the proportions are not equal.

c)

there is a difference in the proportion of the number Wudmoor residents and Chef County residents who believes his client is guilty.

d)

if H₀ is rejected then we conclude that there is the difference of proportion of the number Wudmoor residents and Chef County residents who believes his client is guilty.

e)

if we fail to reject H₀ then we conclude that the of proportion of the number Wudmoor residents and Chef County residents who believes his client is guilty is the same.