## Answers

Null hypothesis: The number of home team and visiting team wins are independent of the sport.

Alternate hypothesis: The number of home team and visiting team wins are not independent of the sport.

Test statistic:

where O_{i} is the observed value and E_{i} is the expected value.

Table for observed value

Football | Basketball | Soccer | Baseball | Total | |

Home team wins | 39 | 156 | 25 | 83 | 303 |

Visiting team wins | 31 | 98 | 19 | 75 | 223 |

Total | 70 | 254 | 44 | 158 | 526 |

Table for expected value

Football | Basketball | Soccer | Baseball | |

Home team wins | ||||

Visiting team wins |

Now,

**Value of test statistic = 3.29**

degrees of freedom:

level of significance:

Critical value:

**We fail to reject the null hypothesis at level of significance and conclude that the number of home team and visiting team wins are independent of the sport.**

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70 * 303 - 40.32 526

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