5. An educator is testing the null hypothesis that the percentage of 14-16-year-olds who are happy about returning to school in September is less than or equal to 50%. The educator conducts a poll of 1200 randomly selected 14-16-year-olds and finds that 630 teens are happy about returning to school in September. Based on this poll, the educator should make Which of these conclusions (at the 5% level of significance)? A. There is evidence that the true percentage is greater than 50% because the P-value is less than 0.05. B. There is evidence that the true percentage is greater than 50% because the P-value is greater than 0.05. C. There is no evidence that the true percentage is greater than 50% because the P-value is less than 0.05. D. There is no evidence that the true percentage is greater than 50% because the P-value is greater than 0.05. E. You can't compute a P-value with a null hypothesis of this form. 6. A recent Harris Poll of 1011 American adults found that 88% said they would trust teachers to tell the truth. In a similar poll taken three years earlier, 86% said they would trust teachers to tell the truth. Using a 95% confidence interval for the difference between two proportions, decide whether there is convincing evidence of a change in the proportion of adults who trust teachers to tell the truth. Assume that the sample sizes were the same in both years and that the samples were random and independent. A. yes, because the 95% confidence interval for the difference contains 2% B. yes, because the 95% confidence interval for the difference contains 0% C. no, because the 95% confidence interval for the difference contains 2% D. no, because the 95% confidence interval for the difference contains 0% E. no. because the 95% confidence interval for the difference does not contain 2% 7. Compute and interpret the 95% confidence interval for the situation in Question 6. You can assume that conditions are met. Then explain the meaning of being 95% confident