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 t mew recipe sample contains 42 grams of almonds.
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 t mew recipe sample contains 42 grams of almonds.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A company produces packages

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.
What are the null and alternative hypotheses that should be used to test this claim?
- Option 1: null: \( p_1 - p_2 = 0 \); alternative: \( p_1 - p_2 \neq 0 \)
- Option 2: null: \( p_1 - p_2 > 0 \); alternative: \( p_1 - p_2 < 0 \)
- Option 3: null: \( p_1 - p_2 \neq 0 \); alternative: \( p_1 - p_2 > 0 \)
- Option 4: null: \( p_1 - p_2 = 0 \); alternative: \( p_1 - p_2 > 0 \)
Here, \( p_1 \) and \( p_2 \) represent the proportion of almonds in the old and new recipes, respectively.
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