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 B value is inaccuratel OH:p-0.08 HAP> 0.08 OH₂:p-0.08 Hap<0.08 He:p-0.08 HAP/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 fine the estatistic). Round your answer to 2 decimal places X+ d) What is the p-value for this hypothesis test! Round your answer to 4 decimal places. P- e) What is the decision for this hypothesis test? Osince pa we reject the null hypothesis and accept the alternative Osince pas accept the null hypothesis Osince pa we do not have enough evidence to reject the null hypothesis, so we fall to reject the null hypothesis Osince pa fall to reject the null hypothesis

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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!
OH P-0.08
H:p> 0.08
OH₂:p-0.08
Hap<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 2-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.-
e) What is the decision for this hypothesis test?
Osince pa we reject the null hypothesis and accept the alternative
Osince pa we accept the null hypothesis
Osince pa we do not have enough evidence to reject the null hypothesis, so we fail to reject the
null hypothesis
Osince pa we fail to reject the null hypothesis
Sincer
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! OH P-0.08 H:p> 0.08 OH₂:p-0.08 Hap<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 2-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.- e) What is the decision for this hypothesis test? Osince pa we reject the null hypothesis and accept the alternative Osince pa we accept the null hypothesis Osince pa we do not have enough evidence to reject the null hypothesis, so we fail to reject the null hypothesis Osince pa we fail to reject the null hypothesis Sincer
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