In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. the treatment group consisted of 201,229 children given the salk vaccine for polio, and the other 200,745 children were given a placebo. among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. if we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the salk vaccine, are the requirements for a hypothesis test satisfied? explain.
choose the correct answer below:
a. the requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the sample size is at least 1000.
b. the requirements are not satisfied; the samples are not simple random samples that are independent.
c. the requirements are not satisfied; the difference between the rates of those that developed polio in the two groups is not statistically significant.
d. the requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the number of successes is at least 5 and the number of failures is at least 5.

During the year, the delph company had no beginning or ending inventories and it started, completed, and sold only two jobs—job d-75 and job c-100. it provided the following information related to those two jobs: job d-75: molding fabrication total direct materials cost $ 375,000 $ 325,000 $ 700,000 direct labor cost $ 200,000 $ 160,000 $ 360,000 machine-hours 15,000 5,000 20,000 job c-100: molding fabrication total direct materials cost $ 300,000 $ 250,000 $ 550,000 direct labor cost $ 175,000 $ 225,000 $ 400,000 machine-hours 5,000 25,000 30,000delph had no overapplied or underapplied manufacturing overhead during the year. assume delph uses a plantwide overhead rate based on machine-hours.1-a. compute the predetermined plantwide overhead rate.1-b. compute the total manufacturing costs assigned to job d-70 and job c-200.1-c. if delph establishes bid prices that are 150% of total manufacturing costs, what bid price would it have established for job d-70 and job c-200? 1-d. what is delph's cost of goods sold for the year? assume delph uses departmental overhead rates based on machine-hours.2-a. compute the predetermined departmental overhead rates.2-b. compute the total manufacturing costs assigned to job d-70 and job c-200.2-c. if delph establishes bid prices that are 150% of total manufacturing costs, what bid price would it have established for job d-70 and job c-200? 2-d. what is delph's cost of goods sold for the year?