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Mat 300

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Submitted By destiny2215
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MAT 300
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 is not 0.13)

Proportion

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