Question

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Problem 3 (10 marks) Based on the BBM TV ratings, the Sudbury local television claims its 11:00 PM newscast reaches exactly 41% of the viewing audience in the area. In a survey of 100 viewers, 45 indicated that they watch the late evening news on this Sudbury local television. At a significance level a =0.05, can you infer that the Sudbury local television claim is false? نیا

Answer 1

letu xnumber of viewers indicated that they watch the late evening news on this sudburry local television, out or na 100 Here n=100 x = 45 Too : 1- § = 10:45 = 0.55 its 11:00pm claim: The sudbury local television claims that newscast reaches estaedly 41% of viewing audience in the area note that Po= 0.49 & go=1- Po=0.59 The hypothesis regarding this problem, test, Ho: P = 0.41 Hi PE 0.41 To VS Test statistic, I calea P - po Poge NN (011) 9 Under to n = 0.45-0.41 10.41x0.5g .: I cale = 0.8133 ICS

we Ho at dol. level of Rejection criteria: reject significance if IZ care l 7, 2012 giren that, significance level (L) 20:05 = 1.96 2d12 - our Here, Zeale R 2412 ie 0.8833 < 1.90 we fail to reject to at 5.%. level of signifi conce conclusion: There is sufficient evidence to support claim that local television viewer at stoopm newscast reaches exactly 417. of viewing audience in the the sudbury area CS sind with sur