# Question: you are conducting a multinomial hypothesis test 005...

###### Question details

You are conducting a multinomial hypothesis test (αα = 0.05) for
the claim that all 5 categories are equally likely to be
selected.

Category | Observed Frequency |
---|---|

A | 20 |

B | 15 |

C | 15 |

D | 12 |

E | 18 |

What is the chi-square test-statistic for this data?

χ2=χ2=

What are the degrees of freedom for this test?

*d.f.* =

What is the p-value for this sample? (Report answer accurate to
four decimal places.)

p-value =

The p-value is...

- less than (or equal to) αα
- greater than αα

This test statistic leads to a decision to...

- reject the null
- accept the null
- fail to reject the null
- accept the alternative

As such, the final conclusion is that...

- There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
- There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
- The sample data support the claim that all 5 categories are equally likely to be selected.
- There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.