Assume that 

500500 

births are randomly selected and 

481481 

of the births are girls. Use subjective judgment to describe the number of girls as significantly​ high, significantly​ low, or neither significantly low nor significantly high.

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Part 1

Choose the correct answer below.

A.

The number of girls is 

significantly highsignificantly high.

B.

The number of girls is 

significantly lowsignificantly low.

C.

The number of girls is 

neither significantly low nor significantly highneither significantly low nor significantly high.

D.

It is impossible to make a judgment with the given information.

We are trying to determine whether 481,481 girls out of 500,500 births is significantly high, significantly low, or neither. 

### Step-by-step analysis:
1. **Expected number of girls**: In a random selection, assuming a 50/50 chance of being a boy or a girl, the expected number of girls should be approximately half of the total births.
   
   \[
   \text{Expected number of girls} = \frac{500500}{2} = 250250
   \]

2. **Observed number of girls**: We observe 481,481 girls, which is far greater than the expected number of 250,250 girls.

3. **Subjective judgment**: 
   - A significant difference from the expected value (250,250) could suggest a trend toward a high proportion of girls.
   - The observed number is almost double the expected, which would be considered **significantly high**.

Thus, based on this judgment:

### The correct answer is:
**A. The number of girls is significantly high.**

Would you like more details or have any questions?

Here are 5 related questions to expand this information:
1. How do we calculate statistical significance in a binomial distribution?
2. What is the standard deviation for the number of girls in this scenario?
3. Can we apply a normal approximation to this problem, and why?
4. What factors could influence a significant deviation in the gender ratio at birth?
5. How would a hypothesis test be set up to confirm this conclusion statistically?

**Tip**: When assessing significance, always compare observed values with expected values using statistical measures like standard deviation or hypothesis testing.

Assume that 500,500 births are randomly selected and 481,481 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.

In this problem, 500,500 births are randomly selected with 481,481 being girls. We use probability and binomial distribution to assess if the number of girls is significantly high. This analysis covers statistical significance and expected value, suitable for Grades 10-12.

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