HER The report "Digital Democracy Survey"+ describes a large national survey. In a representative sample of Americans of age 14 to 18 years, 45% Indicated that they usually use social media while watching TV. Suppose that the sample size was 600. (Let p be the population proportion of Americans of age 14 to 18 years who usually use social media while watching TV.) AUSE SALT (a) Is there convincing evidence that less than half of Americans of age 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05. State the appropriate null and alternative hypotheses. (Enter 1 for as needed.) Ho H Find the test statistic. (Round your answer to two decimal places.) Use technology to find the P-value. (Round your answer to four decimal places.) P-value= State the conclusion in the problem context. Fail to reject Ho. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Reject Ho. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Reject Ho. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. Fail to reject Ho. We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV. (b) Suppose that the sample size had been 100 rather than 600 and that 45% of those in the sample indicated that they usually use social media while watching TV. Based on this sample of 100, is there convincing evidence that less than half of Americans of age 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05. State the appropriate null and alternative hypotheses. (Enter 1 for as needed.)