M&Ms® Project

Part 4 (21 pts) Test their claim that the true proportion of blue M&Ms candies is 0.24 at the 0.05 significance level.

Hypotheses: Claim –p =0.24

H0: p = 0.24 (null)

H1: p = 0.24 (alternative)

Decision: Reject the null (sufficient evidence to suggest that true proportion is 0.24) Proportion | Count | Total | Sample Prop. | Std. Err. | Z-Stat | P-value | p | 379 | 1978 | 0.1916 | 0.1062995 | -5.039380 | .000000468 |

Test their claim that the true proportion of orange M&Ms candies is 0.20 at the 0.05 significance level.

Hypotheses: Claim –p =0.20

H0: p = 0.20 (null)

H1: p = 0.20 (alternative)

Decision: Reject the null (sufficient evidence to suggest that true proportion is 0.20)

Proportion | Count | Total | Sample Prop. | Std. Err. | Z-Stat | P-value | p | 356 | 1978 | 0.18 | 0.1096796 | -2.225984 | 0.026015 |

Test their claim that the true proportion of green M&Ms candies is 0.16 at the 0.05 significance level.

Hypotheses: Claim –p =0.16

H0: p = 0.16 (null)

H1: p = 0.16 (alternative)

Decision: Reject the null (sufficient evidence to suggest that true proportion is 0.16)

Proportion | Count | Total | Sample Prop. | Std. Err. | Z-stat | P-value | p | 359 | 1978 | 0.1815 | 0.1092203 | 2.607837 | 0.009112 |

Test their claim that the true proportion of yellow M&Ms candies is 0.14 at the 0.05 significance level.

Hypotheses: Claim –p =0.14

H0: p = 0.14 (null)

H1: p = 0.14 (alternative)

Decision: Reject the null (sufficient evidence to suggest that true proportion is 0.14)

Proportion | Count | Total | Sample Prop. | Std. Err. | Z-stat | P-value | p | 329 | 1978 | 0.1663 | 0.1140914 | 3.374773 | .0007389 |

Test their claim that the true proportion of red M&Ms candies is 0.13 at the 0.05 significance level.

Hypotheses: Claim –p =0.13

H0: p = 0.13 (null)

H1: p = 0.13 (alternative)

Decision: Fail to reject the null (insufficient evidence to suggest that true proportion