2. A researcher claimed that 55% of elementary students would rather play than read books during break time. Another researcher was assigned to verify the claim. He randomly selected 300 students. Two hundred seventy-four (274) of them said they would rather play during break time than read books. At 0.10 level, is there enough evidence to conclude that the percentage of elementary students who would rather play than read books has changed to 55%? Check whether the sample is sufficiently large. (12 points) Null hypothesis in words: Ho: Null hypothesis in symbols: Ho: Alternative hypothesis in words: Ha: Alternative hypothesis in symbols: Ha: p= P = q = a = critical value = Is the sample sufficiently large to use CLT in approximation? Show the solution. (2 points) Rejection1. Before the national elections, 75% of the voters in a certain town said that they preferred older senatorial candidates running for senatorial positions than younger candidates. After a certain survey was conducted, 910 out of 1,300 randomly selected voters preferred older senatorial candidates. Does this claim indicate that voters in that town have a greater interest in older candidates than in younger ones? Use a = 0.05. Check whether the sample is sufficiently large. Hypotheses must be in words and symbols. (12 poins) Null hypothesis in words: Ho: Null hypothesis in symbols: Ho: Alternative hypothesis in words: Ha: Alternative hypothesis in symbols: Ha: p = p = q = a = critical value = Is the sample sufficiently large to use CLT in approximation? Show the solution. (2 points) School Address: Telephone No: Email: Rejection