(1.)

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 15GB respondents. 14% chose chocolate pie, and the margin of error was given as 15 percentage points. Describe what is meant by the statement that \"the margin of error was given as i 5 percentage points.\" Choose the correct answer below. [:1 A. The statement indicates that the interval 14% 15% is likely to contain the true population percentage of people that prefer chocolate pie. [:1 E. The statement indicates that the study is l% 5% = 95% confident that the true population percentage of people that prefer chocolate pie is 14%. [:1 C. The statement indicates that the study is only 5% condent that the true population percentage of people that prefer chocolate pie is exactly 14%. [:1 D. The statement indicates that the tme population percentage of people that prefer chocolate pie is in the interval 14% :l: 5%. The IQ scores for a random sample of subjects with low n x S lead levels in their blood and another random sample of Low Lead Level #1 82 |93.72048 15.50979 subjects with high lead levels in their blood were collected. The statistics are summarized in the accompanying table. High Lead Level H2 24 86.67646 9.01546 Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. a. Use a 0.01 significance level to test the claim that the mean IQ score of people with low blood lead levels is higher than the mean IQ score of people with high blood lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with low lead levels and population 2 consists of subjects with high lead levels. OA. HO: Hy # H2 OB. Ho: My = H2 Hy: Hq > H2 Hy: Hy # H2 OC. Ho:My SH2 OD. Ho: Hy = H2 Hy: Hq > H2 Hq : Hq > H2 The test statistic is . (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) O A. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. O B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. O C. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. O D. Reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores.b. Construct a confidence interval appropriate for the hypothesis test in part (a).