| Quarter | Quarter 1
(Jan. – March) |
Quarter 2
(April – June) |
Quarter 3
(July – Sept.) |
Quarter 4
(Oct. – Dec.) |
| Probability of being born this quarter |
| Quarter | Quarter 1
(Jan. – March) |
Quarter 2
(April – June) |
Quarter 3
(July – Sept.) |
Quarter 4
(Oct. – Dec.) |
| Expected number of soccer players born this quarter |
| Quarter | Quarter 1
(Jan. – March) |
Quarter 2
(April – June) |
Quarter 3
(July – Sept.) |
Quarter 4
(Oct. – Dec.) |
| Proportion of births in Italy | 0.2248 | 0.2498 | 0.2574 | 0.2680 |
| Quarter | Quarter 1
(Jan. – March) |
Quarter 2
(April – June) |
Quarter 3
(July – Sept.) |
Quarter 4
(Oct. – Dec.) |
| Expected number of soccer players born this quarter |
|
|
|
|
| Quarter | Quarter 1
(Jan. – March) |
Quarter 2
(April – June) |
Quarter 3
(July – Sept.) |
Quarter 4
(Oct. – Dec.) |
| Observed number of soccer players | 507 | 534 | 389 | 273 |
| Group | % |
| Asian American | 57.5% |
| Hispanic | 3.1% |
| African American | 0.8% |
| White | 38.7% |
| Group | % |
| Asian American | 21.4% |
| Hispanic | 12.2% |
| African American | 11.2% |
| White | 55.3% |
| Group | % | Expected Counts |
| Asian American | 57.4% | |
| Hispanic | 3.1% | |
| African American | 0.8% | |
| White | 38.7% |
| Group | Expected Count | Observed Count | |
| Asian American | 1161.202 | 432 | |
| Hispanic | 62.713 | 247 | |
| African American | 16.184 | 226 | |
| White | 782.901 | 1118 |
| Location | Chicago | New York | Boston | L.A. | Houston |
| Claimed/expected probability of getting a basket |
| Location | Chicago | New York | Boston | L.A. | Houston |
| Expected number of baskets |
| Location | Chicago | New York | Boston | L.A. | Houston |
| Actual number of baskets | 29 | 35 | 33 | 36 | 23 |
| Group | Expected Count | Observed Count | |
| Chicago | 29 | ||
| New York | 35 | ||
| Boston | 33 | ||
| Los Angeles | 36 | ||
| Houston | 23 |
| Quarter | Quarter 1
(Jan. – March) |
Quarter 2
(April – June) |
Quarter 3
(July – Sept.) |
Quarter 4
(Oct. – Dec.) |
| Proportion of births in Italy | 0.2248 | 0.2498 | 0.2574 | 0.2680 |
| Quarter | Quarter 1
(Jan. – March) |
Quarter 2
(April – June) |
Quarter 3
(July – Sept.) |
Quarter 4
(Oct. – Dec.) |
| Expected number of soccer players born this quarter |
0.2248 × 1703 = 382.83
|
| Quarter | Quarter 1
(Jan. – March) |
Quarter 2
(April – June) |
Quarter 3
(July – Sept.) |
Quarter 4
(Oct. – Dec.) |
| Observed number of soccer players | 507 | 534 | 389 | 273 |
| Quarter | Observed (O) | Expected (E) | (O – E) | (O – E)2 | |
| 1 | 507 | 382.83 | |||
| 2 | 534 | 425.41 | |||
| 3 | 389 | 438.35 | |||
| 4 | 273 | 456.40 |
| Skill or Concept: I can . . . | Questions to check your understanding | Rating from 1 to 5 |
| Calculate expected values for a single categorical variable. | 1 | |
| Calculate a chi-square test statistic and explain the purpose behind each step in the calculation. | 2 | |
| Use technology to find the probability associated with a chi-square test statistic value. | 3 |
- frequency table
- a table that organizes data by listing different possible categories and the number of times each category occurs in the dataset.
