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d) What is the p-value for this hypothesis test? Round your answer to 4 decimal places. p =

d) What is the p-value for this hypothesis test? Round your answer to 4 decimal places. p =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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4.44 Nearsighted: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. Conduct a hypothesis test using the 5% significance level. a) Construct hypotheses appropriate for the following question: Do these data provide evidence that the 8% value is inaccurate? O Ho:p = 0.08 HA:P + 0.08 Но:р 3 0.08 Нд:р > 0.08 Ho:p = 0.08 НА:р < 0.08 b) What proportion of children in this sample are nearsighted? Round your answer to 4 decimal places. 0.1082 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). Round your answer to 2 decimal places. z = 1.44 d) What is the p-value for this hypothesis test? Round your answer to 4 decimal places. p=
Transcribed Image Text:4.44 Nearsighted: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. Conduct a hypothesis test using the 5% significance level. a) Construct hypotheses appropriate for the following question: Do these data provide evidence that the 8% value is inaccurate? O Ho:p = 0.08 HA:P + 0.08 Но:р 3 0.08 Нд:р > 0.08 Ho:p = 0.08 НА:р < 0.08 b) What proportion of children in this sample are nearsighted? Round your answer to 4 decimal places. 0.1082 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). Round your answer to 2 decimal places. z = 1.44 d) What is the p-value for this hypothesis test? Round your answer to 4 decimal places. p=
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