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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 44%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 175 babies born in the community, 89 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 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) State the null hypothesis Ho and the alternative hypothesis H₁. HD H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 44%? OYes No μ X 9. O S X 00 Р ô 0=0 0≤0 020 S nin ☐☐ 0<0 >O C E

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 44%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 175 babies born in the community, 89 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 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) State the null hypothesis Ho and the alternative hypothesis H₁. HD H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 44%? OYes No μ X 9. O S X 00 Р ô 0=0 0≤0 020 S nin ☐☐ 0<0 >O C E

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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**Hypothesis Test for a Population Proportion Using the p-value** 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 44%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 175 babies born in the community, 89 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 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) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \). - \( H_0: \) - \( H_1: \) (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the \( p \)-value. (Round to three or more decimal places.) (e) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 44%? - Yes - No Diagram: The interface includes options for mathematical symbols such as \(\mu\), \(\sigma\), \(\rho\), and others with various diagrammatic options.
Transcribed Image Text:**Hypothesis Test for a Population Proportion Using the p-value** 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 44%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 175 babies born in the community, 89 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 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) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \). - \( H_0: \) - \( H_1: \) (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the \( p \)-value. (Round to three or more decimal places.) (e) Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 44%? - Yes - No Diagram: The interface includes options for mathematical symbols such as \(\mu\), \(\sigma\), \(\rho\), and others with various diagrammatic options.
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