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Question Help v Researchers in a populous country contacted more than 25,000 inhabitants aged 24 years to see if they had finished high school; 86.3% of the 12,850 males and 83.1% of the 12,729 females indicated that they had high school diplomas. a) What assumptions are necessary to satisfy the conditions necessary for inference? b) Create a 90% confidence interval for the difference in graduation rates between males and females, pmales Plamales c) Interpret your confidence interval. d) Is there evidence that boys more likely than girls to complete high school? a) What are the necessary assumptions? O A. Assume the samples are selected from a population that is approximately normal. O B. Assume the samples are independent and representative of all recent graduates. OC. Assume the samples are greater than 10% of the population. O D. Assume the samples do not include students from the same school. b) Create a 90% confidence interval for the difference in graduation rates between males and females, Pmales Plemales (Round to three decimal places as needed.) c) Choose the sentence below that best describes the confidence interval. O A. There is 90% confidence that the graduation rate of 24-year-old males is greater than that of 24-year-old females by an amount in the interval. O B. There is 90% confidence that the graduation rate in samples of 24-year-old males will be greater than that of females by an amount in the interval. OC. There is 90% confidence that the graduation rate of males is greater than that of females by an amount in the interval. d) Is there evidence of a difference in the graduation rates? OA. There is no evidence that the graduation rate of boys is different than girls.

Question Help v Researchers in a populous country contacted more than 25,000 inhabitants aged 24 years to see if they had finished high school; 86.3% of the 12,850 males and 83.1% of the 12,729 females indicated that they had high school diplomas. a) What assumptions are necessary to satisfy the conditions necessary for inference? b) Create a 90% confidence interval for the difference in graduation rates between males and females, pmales Plamales c) Interpret your confidence interval. d) Is there evidence that boys more likely than girls to complete high school? a) What are the necessary assumptions? O A. Assume the samples are selected from a population that is approximately normal. O B. Assume the samples are independent and representative of all recent graduates. OC. Assume the samples are greater than 10% of the population. O D. Assume the samples do not include students from the same school. b) Create a 90% confidence interval for the difference in graduation rates between males and females, Pmales Plemales (Round to three decimal places as needed.) c) Choose the sentence below that best describes the confidence interval. O A. There is 90% confidence that the graduation rate of 24-year-old males is greater than that of 24-year-old females by an amount in the interval. O B. There is 90% confidence that the graduation rate in samples of 24-year-old males will be greater than that of females by an amount in the interval. OC. There is 90% confidence that the graduation rate of males is greater than that of females by an amount in the interval. d) Is there evidence of a difference in the graduation rates? OA. There is no evidence that the graduation rate of boys is different than girls.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Question Help ▼ Researchers in a populous country contacted more than 25,000 inhabitants aged 24 years to see if they had finished high school; 86.3% of the 12,850 males and 83.1% of the 12,729 females indicated that they had high school diplomas. a) What assumptions are necessary to satisfy the conditions necessary for inference? b) Create a 90% confidence interval for the difference in graduation rates between males and females, pmales -Piemales c) Interpret your confidence interval. d) Is there evidence that boys are more likely than girls to complete high school? a) What are the necessary assumptions? O A. Assume the samples are selected from a population that is approximately normal. O B. Assume the samples are independent and representative of all recent graduates. OC. Assume the samples are greater than 10% of the population. O D. Assume the samples do not include students from the same school. b) Create a 90% confidence interval for the difference in graduation rates between males and females, Pmales - Piemales (Round to three decimal places as needed.) c) Choose the sentence below that best describes the confidence interval. O A. There is 90% confidence that the graduation rate of 24-year-old males is greater than that of 24-year-old females by an amount in the interval. O B. There is 90% confidence that the graduation rate in samples of 24-year-old males willl be greater than that females by an amount in the interval. OC. There is 90% confidence that the graduation rate of males greater than that of females by an amount in the interval. d) Is there evidence of a difference in the graduation rates? O A. There is no evidence that the graduation rate of boys is different than girls.
Transcribed Image Text:Question Help ▼ Researchers in a populous country contacted more than 25,000 inhabitants aged 24 years to see if they had finished high school; 86.3% of the 12,850 males and 83.1% of the 12,729 females indicated that they had high school diplomas. a) What assumptions are necessary to satisfy the conditions necessary for inference? b) Create a 90% confidence interval for the difference in graduation rates between males and females, pmales -Piemales c) Interpret your confidence interval. d) Is there evidence that boys are more likely than girls to complete high school? a) What are the necessary assumptions? O A. Assume the samples are selected from a population that is approximately normal. O B. Assume the samples are independent and representative of all recent graduates. OC. Assume the samples are greater than 10% of the population. O D. Assume the samples do not include students from the same school. b) Create a 90% confidence interval for the difference in graduation rates between males and females, Pmales - Piemales (Round to three decimal places as needed.) c) Choose the sentence below that best describes the confidence interval. O A. There is 90% confidence that the graduation rate of 24-year-old males is greater than that of 24-year-old females by an amount in the interval. O B. There is 90% confidence that the graduation rate in samples of 24-year-old males willl be greater than that females by an amount in the interval. OC. There is 90% confidence that the graduation rate of males greater than that of females by an amount in the interval. d) Is there evidence of a difference in the graduation rates? O A. There is no evidence that the graduation rate of boys is different than girls.
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