.... . ... . A report stated that 28% of the people in a representative sample of adult Americans ages 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 ages 50 to 68, 42% 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 600 for the 33 to 49 age group sample and 650 for the 50 to 68 age group sample. Does this data provide convincing evidence that the proportion of adult Americans ages 33 to 49 who rate a landline phone in the top three is less than this proportion for adult Americans ages 50 to 68? Test the relevant hypotheses using a = 0.05. (Use p33 to 49 age group- P50 to 68 age group .. .. ... n USE SALT Find the test statistic. (Round your answer to two decimal places.) Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. O Reject H. We do not have convincing evidence that the proportion of adult Americans ages 33 to 49 who rate a landline phone in the top three services they purchase for their home is less than this proportion for adult Americans ages 50 to 68. O Fail to reject H. We have convincing evidence that the proportion of adult Americans ages 33 to 49 who rate a landline phone in the top three services they purchase for their home is less than this proportion for adult Americans ages 50 to 68. O Reject Ho. We have convincing evidence that the proportion of adult Americans ages 33 to 49 who rate a landline phone in the top three services they purchase for their home is less than this proportion for adult Americans ages 50 to 68. O Fail to reject Ho. We do not have convincing evidence that the proportion of adult Americans ages 33 to 49 who rate a landline phone in the top three services they purchase for their home is less than this proportion for adult Americans ages 50 to 68.