5 Sevenof8500peoplevaccinatedagainstcertaindiseaselaterdevel
5) Sevenof8500peoplevaccinatedagainstcertaindiseaselaterdevelopedthedisease.18of 10,000peoplevaccinatedwithplacebolaterdevelopedthedisease.Testtheclaimthatthe vaccineiseffectiveinloweringtheincidenceofthedisease.Usesignificancelevelof0.02.
UsetheP-valuemethodtotestthegivenhypothesis.Assumethatthesamplesareindependent andthattheyhavebeenrandomlyselected.Identifythenullandalternativehypotheses,test statistic,P-valueandstatethefinalconclusionthataddressestheoriginalclaim.
6) Usethegivensampledatatotesttheclaimthatp1p2Usesignificancelevelof0.10.
Sample1 n1462 x184
Sample2 n2380 x295
Constructtheindicatedconfidenceintervalforthedifferencebetweenpopulationproportions p1p2.Assumethatthesamplesareindependentandthattheyhavebeenrandomlyselected.
7) marketingsurveyinvolvesproductrecognitioninNewYorkandCalifornia.Of558New Yorkerssurveyed,193knewtheproductwhile196outof614Californiansknewtheproduct. Construct99%confidenceintervalforthedifferencebetweenthetwopopulation proportions.
Forproblemand9,Assumethatsimplerandomsamplehasbeenselectedfromnormally distributedpopulationUsetheP-valueMethodtotestthegivenclaim.Identifythenulland alternativehypotheses,teststatistic,P-valueandstatethefinalconclusionthataddressesthe originalclaim.
8) IntheSpapcelabLifeSciencePayload,14maleratsweresenttospace.Upontheirrerurn,thered bloodcellmass(inmilliliters)oftheratswasdetermined.controlgroupof14maleratswasheld underthesameconditionsasthespacerats,andtheirredbloodcellmasswasalsodetermined whenthespaceratswasreturned.Theproject,ledbyDr.PaulX.Callahan,resultedinthedatalisted inthetablebelow.Doestheevidencesupporttheclaimthattheflightanimalshavedifferentredblood cellmassfromofthecontrolanimal?
Flight:
Control:
9.79 7.54
8.55 9.14
8.59
8.64
7.43
7.21
6.87
7.89
6.85
7.00
8.80
9.30
8.03
6.39
8.65
6.99
8.40
9.66
7.62
7.44
8.70
7.33
8.58
9.88
9.94
7.14
b)Use95%confidenceintervaltoconstructconfidenceintrevaltoestimatethedifferencebetween thetwopopulationmeans.doestheconfidenceintervalsupporttheclaim?Explain.
9) testofabstractreasoningisgiventorandomsampleofstudentsbeforeandaftertheycompleteda formallogiccourse.Theresultsaregivenbelow.Atthe0.05significancelevel,testtheclaimthatthe meanscoreisnotaffectedbythecourse.
Before74837588846393849177 After73777077746795838475
Determinewhetherthesamplesareindependentordependent.questions10to14arepoints each)
10) Theeffectivenessofheadachemedicineistestedbymeasuringtheintensityofheadachein patientsbeforeandafterdrugtreatment.Thedataconsistofbeforeandafterintensitiesfor eachpatient.
A) Dependent samples B) Independent samples
11) Theeffectivenessofnewheadachemedicineistestedbymeasuringtheamountoftime beforetheheadacheiscuredforpatientswhousethemedicineandanothergroupofpatients whouseplacebodrug.
A) Dependent samples B) Independent samples
Expressthenullhypothesisandthealternativehypothesisinsymbolicform.Usethecorrect symbol(p,)fortheindicatedparameter.
12) skepticalparanormalresearcherclaimsthattheproportionofAmericansthathaveseena UFO,p,islessthan2ineveryonethousand.
A) H0: p = 0.002 B) H0: p < 0.002 C) H0: p > 0.002 D) H0: p = 0.002 H1: p < 0.002 H1: p 0.002 H1: p 0.002 H1: p > 0.002
Assumethatthedatahasnormaldistributionandthenumberofobservationsisgreaterthan fifty.Findthecriticalvalueusedtotestnullhypothesis.
13) 0.05fortwo-tailedtest.
A) ±1.645 B) ±1.96 C) ±1.764 D) ±2.575
Use the given information to find the P-value. Also, use 0.05significancelevelandstatethe conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
14) The test statistic in right-tailed test is 0.52.
A) 0.6030; fail to reject the null hypothesis B) 0.3015; reject the null hypothesis
C) 0.3015; fail to reject the null hypothesis
D) 0.0195; reject the null hypothesis
| 8.59 | 8.64 | 7.43 | 7.21 | 6.87 | 7.89 |
| 6.85 | 7.00 | 8.80 | 9.30 | 8.03 | 6.39 |
Solution
10) Theeffectivenessofheadachemedicineistestedbymeasuringtheintensityofheadachein patientsbeforeandafterdrugtreatment.Thedataconsistofbeforeandafterintensitiesfor eachpatient.
independent variables
11) Theeffectivenessofnewheadachemedicineistestedbymeasuringtheamountoftime beforetheheadacheiscuredforpatientswhousethemedicineandanothergroupofpatients whouseplacebodrug.
dependent variables
12) skepticalparanormalresearcherclaimsthattheproportionofAmericansthathaveseena UFO,p,islessthan2ineveryonethousand.
B) H0: p < 0.002
H1 p >= 0.002
13)
alpha = 0.05
for two tailed test alpha/2 = 0.025
critcal values using Z normal distribution table
B) ±1.96
Use the given information to find the P-value. Also, use 0.05significancelevelandstatethe conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
D) 0.0195; reject the null hypothesis
for the other literals
I can gladly help you but you should post it in a new question


