b) A researcher conducTed a survey To deTermine The proficiency in informaTion Technology of The people living around USIU. A sample of 1500 respondenTs was selecTed by random digiT Telephone dialing and 1|Page asked The quesTions over phone. For The quesTion \"Do you Think ThaT The inTerneT has generally made your life beTTer?" The frequencies of The responses are as follows: ii. iii. iv. Response Frequency Do noT use The inTerneT 416 BeTTer 670 No change 240 Worse 24 Don'T know/ hard To say 150 ToTal 1500 WhaT is The populaTion in This sTudy? Name a caTegorical random variable discussed in This sTudy. WhaT meThod of daTa collecTion is employed? Discuss The sampling meThod used in This sTudy. Which Type(s) of survey errors do you Think The researcher likely To encounTer? [ [1 A researcher inTeresTed in esTablishing The relaTionship beTween STaTisTics final examinaTion resulTs of 24 sTudenTs and Their aTTiTude Towards Their sTaTisTics lecTurer obTained The following sTaTisTical resulTs. STaTisTics Final ATTiTude Towards exam The LecTurer STaTiSTicS Final Pearson 1 0.960** exam CorrelaTion 5ig.(2-Tai led) 0.000 N 24 24 ATTiTude Towards Pearson 0.960** 1 The LecTurer CorrelaTion Sig.(2Tailed) 0.000 N 24 24 i). Giving reasons, commenT on The esTablished correlaTion beTween The Two variables. [2 marks] ii). STaTe The null (Ho) and The alTernaTive (H1) hypoThesis if The researcher was inTeresTed in esTablishing wheTher There is a significanT correlaTion. [2 marks] iii). Based on a seT alpha level of 0.05, sTaTe The conclusion of The hypoThesis TesT? [3 marks] QuesTion Three a) A sTudenT in public adminisTraTion wanTs To deTermine The mean amounT members of ciTy councils in large ciTies earn per monTh as remuneraTion for being a council member. The error in esTimaTing The mean is To be less Than $120 wiTh a 95 percenT level of confidence. The sTudenT found a reporT by The DeparTmenT of Labor ThaT esTimaTed The sTandard deviaTion To be $900. WhaT is The required sample size? [3 Marks] b) The American ManagemenT AssociaTion wishes To have informaTion on The mean income of middle managers in The reTail indusTry. A random sample of 240 managers reveals a sample mean of $45,500. The sTandard deviaTion of This populaTion is $2,000. Assuming ThaT you are The associaTion consulTanT, advice on The following quesTions: i. WhaT is The populaTion mean? ii. WhaT is a reasonable range of values for The populaTion mean? (use The 95 percenT level of confidence). [4 Marks] QuesTion Four According To recenT informaTion from The Kenya AuTomobile AssociaTion, The mean age of passenger cars in Kenya is 8.4 years. A sample of 36 cars in The sTudenT's loT aT USIU showed The mean age To be 9.0 years. The sTandard deviaTion of This sample was 2.8 years. AT The 0.01 significance level can we conclude ThaT The mean age for These 3|Page cars of USIU sTudenTs is more Than 8.4 years? Let the critical value of this test statistic be 2.575 (Z-tabie value) a) STaTe The null hypoThesis and The alTernaTive hypoThesis for This TesT. [2 Marks] b) CompuTe The value of The TesT sTaTisTic. [2 Marks] c) WhaT is your decision regarding The null hypoThesis? InTerpreT your decision. [3 Marks]