A hospi V ims that the proportion, p, of full-term babies born in their hospital that weigh more than 7 pounds is 39%. In a random sample of 220 babies born in this hospital, 95 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 fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: |#, :0 The alternative hypothesis: H, :0 O=0 OSO The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) ? The two critical values 0.01 level of significance: the Oand0 (Round to at least three decimal places.) Can we reject the claim that the proportion of full- term babies born in their hospital that weigh more | than 7 pounds is 39%? O Yes O No olo Ix 1 ! x

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**Hypothesis Test for a Population Proportion**

A hospital claims that the proportion, \( p \), of full-term babies born in their facility who weigh more than 7 pounds is 39%. In a random sample of 220 babies born in this hospital, 95 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.** Complete the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

1. **The null hypothesis:**
   \( H_0 : \) \( p = 0.39 \)

2. **The alternative hypothesis:**
   \( H_1 : \) \( p \neq 0.39 \)

3. **The type of test statistic:**
   (Choose one) Z

4. **The value of the test statistic:**
   (Round to at least three decimal places.)

5. **The two critical values at the 0.01 level of significance:**
   (Round to at least three decimal places.) \(\pm 2.576\)

6. **Can we reject the claim that the proportion of full-term babies born in their hospital that weigh more than 7 pounds is 39%?**

   - Yes
   - No

[Buttons for "Explanation" and "Check"] 

*Additional Information:*

- The table includes input fields for filling in hypothesis-related values.
- There are buttons and icons for various operations and selections.

*Note:* Ensure calculations follow statistical standards for accuracy.
Transcribed Image Text:**Hypothesis Test for a Population Proportion** A hospital claims that the proportion, \( p \), of full-term babies born in their facility who weigh more than 7 pounds is 39%. In a random sample of 220 babies born in this hospital, 95 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.** Complete the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) 1. **The null hypothesis:** \( H_0 : \) \( p = 0.39 \) 2. **The alternative hypothesis:** \( H_1 : \) \( p \neq 0.39 \) 3. **The type of test statistic:** (Choose one) Z 4. **The value of the test statistic:** (Round to at least three decimal places.) 5. **The two critical values at the 0.01 level of significance:** (Round to at least three decimal places.) \(\pm 2.576\) 6. **Can we reject the claim that the proportion of full-term babies born in their hospital that weigh more than 7 pounds is 39%?** - Yes - No [Buttons for "Explanation" and "Check"] *Additional Information:* - The table includes input fields for filling in hypothesis-related values. - There are buttons and icons for various operations and selections. *Note:* Ensure calculations follow statistical standards for accuracy.
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