ighted: andom sample 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? Ho:p= 0.08 HA:P + 0.08 O Ho:p = 0.08 HA:p > 0.08 Ho:p = 0.08 HA:p < 0.08 b) What proportion of children in this sample are nearsighted? Round your answer to 4 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). Round your answer to 2 decimal places. z =

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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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 — 0.08
НА:р> 0.08
O 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.
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.
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 — 0.08 НА:р> 0.08 O 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. 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. d) What is the p-value for this hypothesis test? Round your answer to 4 decimal places. p =
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