An article states that movie attendance declined in 2005. A survey found that 740 of 1000 randomly selected adult Americans preferred to watch movies at home rather than at a movie theater. Is there convincing evidence that the majority of adult Americans prefer to watch movies at home? Test the relevant hypotheses using a 0.05 significance level. (Round your test statistic to two decimal places and your P-value to four decimal places.)

According to a survey of 1000 adult Americans, 220 of those surveyed said playing the lottery would be the most practical way for them to accumulate $200,000 in net wealth in their lifetime. Although the article does not describe how the sample was selected, for purposes of this exercise, assume that the sample can be regarded as a random sample of adult Americans. Is there convincing evidence that more than 20% of adult Americans believe that playing the lottery is the best strategy for accumulating $200,000 in net wealth? Use α = 0.05. (Round your test statistic to two decimal places and your P-value to four decimal places.)