## Answers

Null Hypothesis

Ho: sex and choice for the cause of global warming are independent

Alternate hypothesis

Ha: sex and choice for the cause of global warming are dependent

Applying chi square test:

| O_{i} | human activity | natural pattern | Do not know | Total |

male | 312 | 143 | 50 | 505 | |

female | 303 | 148 | 54 | 505 | |

Total | 615 | 291 | 104 | 1010 | |

Expected | E_{i}=(row*column)/Total | human activity | natural pattern | Do not know | Total |

male | 307.5 | 145.5 | 52 | 505 | |

female | 307.5 | 145.5 | 52 | 517 | |

Total | 615 | 291 | 104 | 1010 | |

Chi square | | human activity | natural pattern | Do not know | Total |

male | 0.065854 | 0.042955 | 0.076923 | 0.185732 | |

female | 0.065854 | 0.042955 | 0.076923 | 0.185732 | |

Total | 0.131707 | 0.085911 | 0.153846 | 0.371464 |

Chi square stat is given by below formula

Here degree of freedom is given by below formula

D.f=(Row-1)(Column-1)=(3-1)*(2-1)=2

So for 2 degree of freedom and 0.01 significance level

Chi square Critical value at 0.01 significance level is given as 9.21

Value of chi square stat is given as 0.37

and value of p would be 0.83

It means it is greater than level of significance

Or We fail to reject the null hypothesis

There is not sufficient evidence to support the null hypothesis

Because chi square stat<Chi square critical

Or We fail to reject the null hypothesis

There is not sufficient evidence to warrant rejection of the claim that the sex of the respondent is independent of the choice for the cause of global warming.

Men and women do not appear to agree

hence conclude that: Sex of the respondent is independent of the choice for the cause of global warming

.