A company produces packages of granola and has changed its recipe. It claims that the proportion of almonds in the new recipe is greater than in the previous recipe. In order to test this claim, you take a 100-gram sample from the old recipe and a 100-gram sample from the new recipe. The old recipe sample contains 29 grams of almonds, while the new recipe sample contains 42 grams of almonds. When you test the claim that the proportion of almonds in the new recipe is greater than in the previous recipe, what is the P-value and the conclusion at a significance level of 0.05? OP-value = 0.026251; fail to reject the null hypothesis that there is no difference in the proportions OP-value = 0.052501; fail to reject the null hypothesis that there is no difference in the proportions OP-value = 0.026251: reject the null hypothesis that there is no difference in the proportions OP-value = 0.052501; reject the null hypothesis that there is no difference in the proportions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
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A company produces packages of 

A company produces packages of granola and has changed its recipe. It claims that the
proportion of almonds in the new recipe is greater than in the previous recipe.
In order to test this claim, you take a 100-gram sample from the old recipe and a 100-gram
sample from the new recipe. The old recipe sample contains 29 grams of almonds, while the
new recipe sample contains 42 grams of almonds.
When you test the claim that the proportion of almonds in the new recipe is greater than in the
previous recipe, what is the P-value and the conclusion at a significance level of 0.05?
OP-value = 0.026251; fail to reject the null hypothesis that there is no difference in the proportions
ⒸP-value = 0.052501; fail to reject the null hypothesis that there is no difference in the proportions
ⒸP-value = 0.026251; reject the null hypothesis that there is no difference in the proportions
OP-value = 0.052501: reject the null hypothesis that there is no difference in the proportions
Transcribed Image Text:A company produces packages of granola and has changed its recipe. It claims that the proportion of almonds in the new recipe is greater than in the previous recipe. In order to test this claim, you take a 100-gram sample from the old recipe and a 100-gram sample from the new recipe. The old recipe sample contains 29 grams of almonds, while the new recipe sample contains 42 grams of almonds. When you test the claim that the proportion of almonds in the new recipe is greater than in the previous recipe, what is the P-value and the conclusion at a significance level of 0.05? OP-value = 0.026251; fail to reject the null hypothesis that there is no difference in the proportions ⒸP-value = 0.052501; fail to reject the null hypothesis that there is no difference in the proportions ⒸP-value = 0.026251; reject the null hypothesis that there is no difference in the proportions OP-value = 0.052501: reject the null hypothesis that there is no difference in the proportions
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