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Ronch [10]
3 years ago
6

Use the given information to find the P Value. Also use a .05 significance level and state the conclusion about the null hypothe

sis. With Ha: P = 3/5, the test statistic is z = .78
Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

P-value = 0.2177

Conclusion: The P-value 0.2177 is greater than the significance level 0.05, so we fail to reject the null hypothesis (P = 3/5)

Step-by-step explanation:

Null hypothesis (Ha): P = 3/5

Significance level = 0.05

Decision rule: Reject Ha if the P-value and is less than or equal to the significance level. Fail to reject Ha if P-value is greater than the significance level

Using the standard normal distribution table, the critical value of the test statistic z = 0.78 is 0.7823

P-value = 1 - 0.7823 = 0.2177

The P-value is greater than the significance level, so we fail to reject the null hypothesis (P = 3/5)

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A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling wa
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Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice  and  sparkling water in 100 quart of punch are 33 1/3 quart  and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1)  water required for 3/4 quart of grape juice =  3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

   For 18 quart of Sparkling water , grape juice require = 9 quart

   So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

   so for 15/4 quart of Sparkling water ,  grape juice require = 1/2 × 15/4 =

15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water  in 1 quart of punch = 2/3 quart

And quantity of sparkling water  in 100 quart of punch = 100 ×2/3 quart = 66 2/3


 


     


3 0
3 years ago
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