n New York City, a study was conducted to evaluate whether any information that is available at the time of birth can be used to identify children with special eduŋcational needs. In a random sample of 45 third-graders enrolled in the special education program of the public school system, 4 have mothers who have had more than 12 years of schooling. (a) If the true population proportion of children with special educational needs whose mothers have had more than 12 years of schooling is as low as 0.10, you want to risk only a 5% chance of failing to reject the null hypothesis. If you are conducting a two-sided test at the 0.05 level of significance, how large a sample would be required?
n New York City, a study was conducted to evaluate whether any information that is available
at the time of birth can be used to identify children with special eduŋcational needs. In a random
sample of 45 third-graders enrolled in the special education program of the public school system, 4
have mothers who have had more than 12 years of schooling.
(a) If the true population proportion of children with special educational needs whose mothers
have had more than 12 years of schooling is as low as 0.10, you want to risk only a 5% chance
of failing to reject the null hypothesis. If you are conducting a two-sided test at the 0.05 level
of significance, how large a sample would be required?
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