Statistics and Probability

The report Digital Democracy Survey describes a large national survey. In a representative sample of Americans ages 14 to 18 years, 45% indicated that they usually use social media while watching TV. Suppose that the sample size was 700. I USE SALT (a) is there canvincing evidence that leas than half of Americans ages 14 to 18 years usually use social media while watching TVUse a significance level of 0.05. State the appropriate null and alternative hypotheses. Mg; p= 0.5 versus:p>0.5 M:p*0.5 versus ,p0.5 Mo: p = 0,5 Vertus 0.5 Mp0.5 versus 140.5 MI P 0.5 Mo p 0.5 OM * 0.5 versus , p = 0.5 Find the test statistic and p-value. (Use a table or SALT. Round your test statistic to two decimal places and your value to four decimal places.) - P.value State the conclusion in the problem content Pail to reject W We have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV Reject W We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually se social media while watching TV Fail to reject H. We do not have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV, o Reject My we have convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV (c) Explain why different conclusions were reached in the hypothesis tests of parts (a) and (b) Getting out of 700 people responding this way as opposed to out of 100 provides much stronger evidence that fewer than half of Americans ages 14 to 18 years usually use social media while watching TV