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A random sample of 840 births in New York State included 407 boys, and that sample is to be used for a test of the common belief that the proportion of male births in the population is equal to 0.512. Complete parts (a) through (c). a. In testing the common belief that the proportion of male babies is equal to 0.512, identify the values of p and p. p: p = (Round to three decimal places as needed.) 407 b. For random samples of size 840, what sample proportions of male births are at least as extreme as the sample proportion of - ? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. Those that are greater than or equal to O B. Those that are less than or equal to and those that are greater than or equal to O C. Those that are less than or equal to O D. Those that are both greater than or equal to and less than or equal to407 c. In using the method of randomization with 1000 resamples, it is found that 81 of them have sample proportions that are at least as extreme as- 840 Using a significance level of 0.01, what should be concluded about the claim that the proportion of male births is equal to 0.512? There sufficient evidence to the claim that the proportion of male births is equal to 0.512.The IQ 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)te ((2) below. ll n x 5 Low Lead Level H1 92 90.68402 15.57591 High Lead Level P2 22 8722515 9 69395 IU 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 SH2 OB. HO: My # 12 Hy : My > H2 Hy : My > H2 O C. Ho: H1 = H2 OD. Ho: H1 = 12 Hy : Hy > 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. 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. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with low lead levels have higher IQ scores. O C. 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 D. Fail to reject the null hypothesis. There is 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).