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Answer:
p-value: 1.000
There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.
Step-by-step explanation:
We will be conducting a difference of 2 proportions hypothesis test
The hypothesis for this test is:
H_0: p1 - p2=0
H_a: p1 - p2 ≠0
(p1 ) = 252/300 = 0.84
(p2) = 195/300 = 0.65
This is a 2 tailed test with a significance level of 1%. So our critical values are: z > 2.575 and z < -2.575
See the attached photo for the calculations for this test
Amount of flour used in bread recipe = cups
Amount of flour used in muffin recipe = cups
We have to determine how much more flour is in the recipe.
Since, more amount of flour is used in bread recipe than in muffin recipe.
Total amount of more flour =
=
=
=
Therefore, more cup of flour is used in bread recipe than in muffin recipe.
Now, we will determine the total amount of flour used in both recipe.
Total amount of flour used in bread and muffin recipe
=
=
=
= 6 cups
Therefore, total 6 cups of flour are used in both the recipes.