You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table.

X | Y | Z | |
---|---|---|---|

A | 19 | 34 | 44 |

B | 19 | 26 | 38 |

Give all answers rounded to **3 places after the decimal point**, if necessary.

(a) Enter the **expected frequencies** below:

X | Y | Z | |
---|---|---|---|

A | Correct | Correct | Correct |

B | Correct | Correct | Correct |

(b) What is the chi-square **test-statistic** for this data?

Test Statistic: χ2=χ2= Correct

(c) What is the **critical value** for this test of independence when using a significance level of αα = 0.005?

Critical Value: χ2=χ2=

You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table.

X | Y | Z | |
---|---|---|---|

A | 30 | 71 | 26 |

B | 24 | 47 | 24 |

Give all answers rounded to **3 places after the decimal point**, if necessary.

(a) Enter the **expected frequencies** below:

X | Y | Z | |
---|---|---|---|

A | |||

B |

(b) What is the chi-square **test-statistic** for this data?

Test Statistic: χ2=

(c) What is the **critical value** for this test of independence when using a significance level of αα = 0.10?

Critical Value: χ2=

(d) What is the correct conclusion of this hypothesis test at the 0.10 significance level?

- There
**is**sufficient evidence to warrant**rejection**of the claim that the row and column variables are dependent. - There is
**not**sufficient evidence to warrant**rejection**of the claim that the row and column variables are dependent. - There is
**not**sufficient evidence to**support**the claim that the row and column variables are dependent. - There
**is**sufficient evidence to**support**the claim that the row and column variables are dependent.

*Remember to give all answers rounded to 3 places after the decimal point, if necessary.*

You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table.

X | Y | Z | |
---|---|---|---|

A | 34 | 8 | 40 |

B | 28 | 13 | 48 |

Give all answers rounded to **3 places after the decimal point**, if necessary.

(a) Enter the **expected frequencies** below:

X | Y | Z | |
---|---|---|---|

A | |||

B |

(b) What is the chi-square **test-statistic** for this data?

Test Statistic: χ2=

(c) What is the **critical value** for this test of independence when using a significance level of α = 0.005?

Critical Value: χ2=

(d) What is the correct conclusion of this hypothesis test at the 0.005 significance level?

- There
**is**sufficient evidence to warrant**rejection**of the claim that the row and column variables are dependent. - There is
**not**sufficient evidence to warrant**rejection**of the claim that the row and column variables are dependent. - There is
**not**sufficient evidence to**support**the claim that the row and column variables are dependent. - There
**is**sufficient evidence to**support**the claim that the row and column variables are dependent.

*Remember to give all answers rounded to 3 places after the decimal point, if necessary.*

X | Y | Z | |
---|---|---|---|

A | 21 | 33 | 26 |

B | 49 | 51 | 16 |

Give all answers rounded to **3 places after the decimal point**, if necessary.

(a) Enter the **expected frequencies** below:

X | Y | Z | |
---|---|---|---|

A | |||

B |

(b) What is the chi-square **test-statistic** for this data?

Test Statistic: χ2=

(c) What is the **critical value** for this test of independence when using a significance level of αα = 0.01?

Critical Value: χ2=

X | Y | Z | |
---|---|---|---|

A | 31 | 56 | 44 |

B | 45 | 22 | 16 |

Give all answers rounded to **3 places after the decimal point**, if necessary.

(a) Enter the **expected frequencies** below:

X | Y | Z | |
---|---|---|---|

A | |||

B |

(b) What is the chi-square **test-statistic** for this data?

Test Statistic: χ2=χ2=

(c) What is the **critical value** for this test of independence when using a significance level of αα = 0.10?

Critical Value: χ2=χ2=

(d) What is the correct conclusion of this hypothesis test at the 0.10 significance level?

- There is
**not**sufficient evidence to**support**independence of the row and column variables. - There
**is**sufficient evidence to**support**independence of the row and column variables. - There
**is**sufficient evidence to**reject**independence of the row and column variables. - There is
**not**sufficient evidence to**reject**independence of the row and column variables.

*Remember to give all answers rounded to 3 places after the decimal point, if necessary.*

You are conducting a test of the claim that the color of the case of your cell phone is dependent on your gender.

Black | White | Blue | |
---|---|---|---|

Male | 18 | 25 | 23 |

Female | 28 | 19 | 29 |

Give all answers rounded to 2** places after the decimal point**, if necessary.

(a) What is the chi-square **test-statistic** for this data?

Test Statistic: χ2=χ2=

(b) What is the **critical value** for this test of independence when using a significance level of αα = 0.05?

Critical Value: χ2=χ2=

X | Y | Z | |
---|---|---|---|

A | 67 | 6 | 30 |

B | 66 | 20 | 29 |

Give all answers rounded to **3 places after the decimal point**, if necessary.

(a) Enter the **expected frequencies** below:

X | Y | Z | |
---|---|---|---|

A | |||

B |

(b) What is the chi-square **test-statistic** for this data?

Test Statistic: χ2=χ2=

(c) What is the **critical value** for this test of independence when using a significance level of αα = 0.05?

Critical Value: χ2=χ2=

(d) What is the correct conclusion of this hypothesis test at the 0.05 significance level?

- There
**is**sufficient evidence to warrant**rejection**of the claim that the row and column variables are dependent. - There is
**not**sufficient evidence to warrant**rejection**of the claim that the row and column variables are dependent. - There is
**not**sufficient evidence to**support**the claim that the row and column variables are dependent. - There
**is**sufficient evidence to**support**the claim that the row and column variables are dependent.

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