Question

What is an example of the changes made by the Nuremburg Race Laws? Responses Jewish people were no longer considered to be German citizens. Jewish people were no longer considered to be German citizens. Jewish children had to attend Roman Catholic schools. Jewish children had to attend Roman Catholic schools. Jewish people could no longer read the Torah or celebrate Shabbat. Jewish people could no longer read the Torah or celebrate Shabbat. Jewish people could not purchase food or medicines without passes.

Answer 1

Let's calculate the values:

1. **Value of the R phenotype observed:** 20 red birds
2. **Value of the r phenotype observed:** 180 green birds

Expected values were previously calculated:
3. **Value of the R phenotype expected:** 107
4. **Value of the r phenotype expected:** 14

Now, let's calculate the \( X^2 \) value:

\[ X^2 = \frac{{(O_1 - E_1)^2}}{E_1} + \frac{{(O_2 - E_2)^2}}{E_2} \]

Where:
- \( O_1 \) = Observed count of red birds = 20
- \( E_1 \) = Expected count of red birds = 107
- \( O_2 \) = Observed count of green birds = 180
- \( E_2 \) = Expected count of green birds = 14

Calculating \( X^2 \):
\[ X^2 = \frac{{(20 - 107)^2}}{107} + \frac{{(180 - 14)^2}}{14} \]

\[ X^2 = \frac{{(-87)^2}}{107} + \frac{{(166)^2}}{14} \]
\[ X^2 = \frac{{7569}}{107} + \frac{{27556}}{14} \]
\[ X^2 = 70.7664 + 1968.2857 \]
\[ X^2 ≈ 2039.0521 \]

6. **\( X^2 \) value:** \( \approx 2039.05 \)

Now, to find the p-value, we would use a Chi-squared distribution table with one degree of freedom and compare the \( X^2 \) value obtained to determine the significance level.