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Note: No calculations required for this problem. 1. A Psychologist working for a school district reviewed a sample of the records from several schools for the reading scores of 8th grade students. For students who were bilingual (could converse, read and write in two languages), 56.5% of the 1247 students were reading at or above grade level. For students who were monolingual (could converse, read and write in only English), 51% of the 4,235 students were reading at or above grade level. (10 pts) a. The Psychologist performed a hypothesis test to determine if a higher proportion of bilingual students were reading at or above grade level compared to monolingual students. Her hypotheses are: H0: The proportion of children who are reading at or above grade level is the same for all bilingual and all monolingual 8th grade students. H A: The proportion of children who are reading at or above grade level is higher for all bilingual 8th grade students than it is for all monolingual 8th grade students. She calculated a z-score of 3.438 and a p-value of 2.9E-4. If she uses a 5% level of signicance, what conclusion should she make? b. A 99% condence interval for the difference in population proportions, pBilingual - pMonohngual, was calculated to be 0.015