Based on their records, a hospital claims that the proportion, p, of full-term babies born in the community that weigh more than 7 pounds is 43%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 250 babies born the community, 113 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.10 level of significance? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) Find the p-value. (Round to three or more decimal places.) (b) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 43%? OYes O No 3 XI ローロ a S OSO □<ロ Р O

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Based on their records, a hospital claims that the proportion, \( p \), of full-term babies born in the community that weigh more than 7 pounds is 43%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 250 babies born in the community, 113 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.10 level of significance?

Perform a two-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

---

(a) Find the \( p \)-value. (Round to three or more decimal places.)

\[ \text{(Answer box for \( p \)-value)} \]

(b) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 43%?

\[ \text{O Yes} \quad \text{O No} \]

---

A diagram is displayed with statistical symbols:

- \(\mu, \sigma, p\) (population parameters)
- \(X, s, \hat{p}\) (sample statistics)

Graphs or charts are not present in the provided text.
Transcribed Image Text:Based on their records, a hospital claims that the proportion, \( p \), of full-term babies born in the community that weigh more than 7 pounds is 43%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 250 babies born in the community, 113 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.10 level of significance? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) --- (a) Find the \( p \)-value. (Round to three or more decimal places.) \[ \text{(Answer box for \( p \)-value)} \] (b) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 43%? \[ \text{O Yes} \quad \text{O No} \] --- A diagram is displayed with statistical symbols: - \(\mu, \sigma, p\) (population parameters) - \(X, s, \hat{p}\) (sample statistics) Graphs or charts are not present in the provided text.
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