1.A new television series must prove that it has more than 25% of the
viewing audience after its initial 113-week run if it is to be judged
successful. Assume that in a sample of 400 households, 112 were
watching the new series.
(a) At a 0.1 level of significance, can the series be judged successful on
the basis of the sample information.( 0 : 0.25 v.s : 0.25 a H p≤ H p> )
(b) Test the above hypothesis based on the p-value.
- 伊婷 林Lv 51 decade agoFavorite Answer
H0:P=0.25H1:P>0.25Z=( 112 / 400 - 0.25 ) / √[ ( 112 / 400 ) * ( 288 / 400 ) / 400 ] = 1.3363∵Z>Z0.1=1.282∴reject H0∴A new television series has more than 25% of the viewing audience0.05 < P_value < 0.1