#16 **Educational Website: Statistical Analysis of Hospital Claims****Context:**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 working with several hospitals aims to verify this claim. In a random sample of 250 babies born in the community, 113 weighed over 7 pounds. We want to determine if there is enough evidence to reject the hospital’s claim at the 0.10 level of significance.**Instructions for Performing a Two-Tailed Test:**1. **Hypotheses:** - **Null Hypothesis $ H_0 $:** $ p = 0.43 $ - **Alternative Hypothesis $ H_1 $:** $ p \neq 0.43 $2. **Select a Test Statistic:** - Choose the appropriate test statistic to analyze the proportion based on the data provided.3. **Calculate Test Statistic Value:** - Compute the value of the test statistic and ensure it is rounded to three or more decimal places.4. **Determine the p-value:** - Find the p-value corresponding to the test statistic, rounding to three or more decimal places for precision.5. **Decision Making:** - Assess if the evidence supports rejecting the claim that the proportion of full-term babies weighing more than 7 pounds is 43% using the calculated p-value. - Possible Answers: - Yes - No**Graphical and Calculative Aids:**- **Symbols Used:** - $ \mu, \sigma, p $ – Statistical notations - Different boxes for input fields and selection tools are provided for each step in the hypothesis testing procedure.This framework assists learners in applying statistical concepts to real-world claims, guiding them through hypothesis testing using a structured approach.

Given that Sample size n =250 Favorable cases x =113 Sample proportion p^=x/n =113/250 =0.452…

ed on their records, a hospital claims that the proportion, p, of full-term babies born in the community that weigh e than 7 pounds is 43%. A pediatrician who works with several hospitals in the community would like to verify the pital's claim. In a random sample of 250 babies born in the community, 113 weighed over 7 pounds. Is there enough lence to reject the hospital's claim at the 0.10 level of significance? orm a two-tailed test. Then complete the parts below. y your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) state the null hypothesis and the alternative hypothesis H₁. 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.) H |x 5 0=0 O $ 2 OSO O0