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It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate? O Ho: p = .08 Ha: p < .08 Ho: p = .08 Ha: p.08 O Ho: p = .08 Ha: p > .08 (b) What proportion of children in this sample are nearsighted? (round to four decimal places) (c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic). Z = (please round to two decimal places)

It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate? O Ho: p = .08 Ha: p < .08 Ho: p = .08 Ha: p.08 O Ho: p = .08 Ha: p > .08 (b) What proportion of children in this sample are nearsighted? (round to four decimal places) (c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic). Z = (please round to two decimal places)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate? Ho: p = .08 Ha: p < .08 Ho: p = .08 Ha: p = .08 O Ho: p = .08 Ha: p > .08 (b) What proportion of children in this sample are nearsighted? (round to four decimal places) (c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic). Z = (please round to two decimal places) (d) What is the p-value for this hypothesis test? p= (please round to four decimal places) (e) What is the conclusion of the hypothesis test? Since p ≥ a we do not have enough evidence to reject the null hypothesis Since p<a we fail to reject the null hypothesis Since p<a we reject the null hypothesis and accept the alternative Since p ≥ a we accept the null hypothesis Since p ≥ a we reject the null hypothesis and accept the alternative
Transcribed Image Text:It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate? Ho: p = .08 Ha: p < .08 Ho: p = .08 Ha: p = .08 O Ho: p = .08 Ha: p > .08 (b) What proportion of children in this sample are nearsighted? (round to four decimal places) (c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic). Z = (please round to two decimal places) (d) What is the p-value for this hypothesis test? p= (please round to four decimal places) (e) What is the conclusion of the hypothesis test? Since p ≥ a we do not have enough evidence to reject the null hypothesis Since p<a we fail to reject the null hypothesis Since p<a we reject the null hypothesis and accept the alternative Since p ≥ a we accept the null hypothesis Since p ≥ a we reject the null hypothesis and accept the alternative
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