## Answers

expected number of low birth weight =np=240*0.071 =17.04

expected number of not low birth weight =np=240*0.071 =240*(1-0.071)=222.96

b)

null Hypothesis: Ho: p= | 0.071 | |

alternate Hypothesis: Ha: p ≠ | 0.071 |

applying chi square goodness of fit test: |

relative | observed | Expected | residual | Chi square | |

Category | frequency(p) | O_{i} | E_{i}=total*p | R^{2}_{i}=(O_{i}-E_{i})/√E_{i} | R^{2}_{i}=(O_{i}-E_{i})^{2}/E_{i} |

1 | 0.071 | 28 | 17.04 | 2.655 | 7.049 |

2 | 0.929 | 212 | 222.96 | -0.734 | 0.539 |

total | 1.00 | 240 | 240 | 1.921066958 | 7.59 |

test statistic X^{2}= | 7.588 |

p value = | 0.006 | from excel: chidist(7.588,1) |

option A is correct

c)

null Hypothesis: Ho: p= | 0.071 | |

alternate Hypothesis: Ha: p ≠ | 0.071 |

p value = | 0.006 |

option B is correct

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