Select the method or formula of your choice.

When the chosen statistic is a proportion, Minitab displays the proportion from the observed sample.
### Formula

Term | Description |
---|---|

x | number of events in the original sample |

N | number of trials in the original sample |

Minitab does not take resamples from the original column of data. Instead, Minitab takes the resamples by randomly sampling from a binomial distribution. The parameters for the distribution are taken from the original sample.

Term | Description |
---|---|

proportion of the i^{th} resample | |

B | number of resamples |

N | number of trials in the original sample |

The calculation of the p-value depends on the alternative hypothesis.

**Proportion less than hypothesized value:****Proportion not equal to hypothesized value:****Proportion greater than hypothesized value:**

In some cases, Minitab performs a one-sided test because the p-value for the two-sided test cannot be calculated. For more information, go to Why do I get a one-sided test instead of a two-sided test?.

Term | Description |
---|---|

l | number of bootstrap proportions that are less than or equal to the sample proportion |

u | number of bootstrap proportions that are greater than or equal to the sample proportion |

β | number of resamples |

n_{l} | number of bootstrap proportions that are less than or equal to ρ_{0} − d |

n_{u} | number of bootstrap proportions that are greater than or equal to ρ_{0} + d |

ρ_{0} | hypothesized value |

d | |

proportion of the observed sample |