VCR's
an Advertising Executive Suspects That There Is a Higher $\pi _ { 1 }$

Essay

VCR's
An advertising executive suspects that there is a higher proportion of households which own VCR's residing in places with cable systems than there are for households residing in places without cable systems.The basis of this suspicion is the broader offering of premium programming available for taping in places with a cable system.The executive commissions a survey,which results in random samples of 165 households located in a cable system and 150 households,located outside any cable system.Of the households in the cable system,54 own VCR's; outside the cable system,33 households own VCR's.Let $\pi _ { 1 }$ be the proportion of households owning a VCR in a cable system and $\pi _ { 2 }$ be the proportion of households owning a VCR,but not in a cable system.The executive chooses 0.05 as the significance level.Can the executive reasonably conclude that the ownership of VCR's is higher in cable systems?
-What are the null and alternative hypotheses?
H₀: ________________
H₁: ________________