The IQ scores for a random sample of subjects with low lead levels in their blood and another random n X S sample of subjects with high lead levels in their blood were collected. The statistics are summarized in Low Lead Level H1 73 91.83333 15.23445 the accompanying table. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations High Lead Level H2 28 86.41388 8.80258 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. O A. HO: H1 = H2 OB. HO- M1 =H2 Hy : My > H2 Hy : My > H2 O C. HO: H1 = H2 OD. HO: My # H2 Hy : My * H2 Hy : My > H2 The test statistic is . (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) State the conclusion for the test. O A. 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 B. 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 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)The lQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects With high lead levels in their blood were collected The statistics are summarized in the accompanying table 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) pelow [1 n x 5 Low Lead Level \"1 73 91 83333 1523445 High Lead Level \"2 28 86 41388 8 80258 Cl 5- Ha P1 = \"2 H1 \"1 'I \"2 The test statistic is (Round to two decimal places as needed) The P-value is : (Round to three decimal places as needed) State the conclu5ion for the test. fl A. Fail to reject the null hypothesis. There is sufficientewdence to support the claim that subjects with low lead levels have higher lQ scores. b. Construct a confidence interval appropriate for the hypothesis test in part (a). \"2 . Reject 1e null hypothesis. There is sufficient eVidence to support the claim that subjects With low lead levels have higher IQ scores. . Reject 1e null hypothesis. There is notsufCientevidence to supportthe claim that subjects With low lead levels have higher lO scores. . Fail to reject the null hypothesis There is not sufficient eVIclence to support the claim that subjects With low lead levels have higher lQ scores