15B

Table A You Win (1,2) Tie (3,4) You Lose (5,6)
Number of Rolls 2 4 4
Table B You Win (1,2) Tie (3,4) You Lose (5,6)
Number of Rolls 200 400 400
Table C You Win (1,2) Tie (3,4) You Lose (5,6)
Number of Rolls 332 334 334
Table D You Win (1,2) Tie (3,4) You Lose (5,6)
Number of Rolls 311 342 347
For Table A Expected Count Observed Count
You Win (1, 2) 2
Tie (3, 4) 4
You Lose (5, 6) 4
For Table B Expected Count Observed Count
You Win (1, 2) 200
Tie (3, 4) 200
You Lose (5, 6) 400
Table A Table B Table C Table D
Chi-Square 0.008 2.28
County Population Size
Queens 2,287,000
Bronx 1,435,000
Westchester 968,000
County Queens Bronx Westchester
Observed Count 204 132 164
Location Chicago New York Boston L.A. Houston
Number of baskets 29 35 33 36 23
Gender Non-Binary Female Male
Proportion 0.08 0.43 0.49
Gender Non-Binary Female Male
Proportion 4 48 68
Quarter Quarter 1

(Jan. – March)

 Quarter 2

(April – June)

 Quarter 3

(July – Sept.)

 Quarter 4

(Oct. – Dec.)
Proportion of births in Italy 22.48% 24.98% 25.74% 26.80%
Sample A Quarter 1

(Jan. – March)

 Quarter 2

(April – June)

 Quarter 3

(July – Sept.)

 Quarter 4

(Oct. – Dec.)
Observed number of soccer players 3 4 2 1
Sample B Quarter 1

(Jan. – March)

 Quarter 2

(April – June)

 Quarter 3

(July – Sept.)

 Quarter 4

(Oct. – Dec.)
Observed number of soccer players 3,000 4,000 2,000 1,000
Sample C 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
Sample A Sample B Sample C
Chi-Square 2.34 2,336 147
Skill or Concept: I can . . . Questions to check your understanding Rating
from 1 to 5
Calculate the value of a chi-square test statistic and explain what it means in the context of a claim. 2–4
Write the null and alternative hypotheses of a chi-square test for goodness of fit. 1

Side-by-side bar charts labeled “Birth Rates” on the x-axis and “Percent (%)” on the y-axis. On the right side, there is a legend titled “Birth Quarter” that shows yellow indicates Q1, green indicates Q2, blue indicates Q3, red indicates Q4. For Soccer Sample A, the percents are approximately 30 for the yellow bar, 40 for the green bar, 20 for the blue bar, and 10 for the red bar. For Soccer Sample B, the percents are approximately 30 for the yellow bar, 40 for the green bar, 20 for the blue bar, and 10 for the red bar. For Soccer Sample C, the percents are approximately 30 for the yellow bar, 32 for the green bar, 23 for the blue bar, and 16 for the red bar. For Actual Italian Population, the percents are approximately 23 for the yellow bar, 25 for the green bar, 26 for the blue bar, 27 for the red bar.