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
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
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47b2bee5-ed6c-465f-be96-7d5f993043eb%2F09fb520d-de2e-4fee-809a-0ffb75e15ca6%2Fg8bwkp_processed.png&w=3840&q=75)
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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