Question

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 - 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 ≥ α we accept the null hypothesis
- Since p<α we reject the null hypothesis and accept the alternative
- Since p<α we fail to reject the null hypothesis
- Since p ≥ α we reject the null hypothesis and accept the alternative
- Since p ≥ α we do not have enough evidence to reject the null hypothesis

Answer #1

It is believed that nearsightedness affects about 8% of all
children. In a random sample of 194 children, 21 are
nearsighted.
1. What proportion of children in this sample are
nearsighted?
(round to four decimal places)
2. 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)
3. What is the p-value for this hypothesis test?...

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 for the following question: do these data
provide evidence that the 8% value is inaccurate? Use α = 0.05.
Because the p-value is （ ） than α = 0.05, we （ ） the null
hypothesis. The sample （ ） provide convincing evidence that the
fraction of children who are nearsighted is different from
0.08.

Nearsighted. It is believed that nearsightedness affects about
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do these data provide evidence that the 8% value is inaccurate?
What are the null and alternative hypotheses? H 0 : p = Incorrect H
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Questions D-F
d) You conduct a hypothesis test for the
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According to MessageLabs Ltd., 80% of all email sent in July
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