The report titled "Digital Democracy Survey" stated that 31% of the people in a representative sample of adult Americans age 33 to 49 rated a landline telephone among the three most important services that they purchase for their home. In a representative sample of adult Americans age 50 to 68, 48% rated a landline telephone as one of the top three services they purchase for their home. Suppose that the samples were independently selected and that the sample size was 500 for the 33 to 49 age group sample and 550 for the 50 to 68 age group sample. Does this data provide convincing evidence that the proportion of adult Americans age 33 to 49 who rate a landline phone in the top three is less than this proportion for adult Americans age 50 to 68? Test the relevant hypotheses using = 0.05.

(Let p₁ be the proportion of adult Americans ages 33 to 49 who rate a landline phone in the top three, and p₂ be the proportion of adult Americans ages 50 to 68 who rate a landline phone in the top three.)

Z-value=

P-value=