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klio [65]
3 years ago
5

The difference of number p and 2 is at least 5

Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Step-by-step explanation:

The difference of number p and 2 is at least 5

means

p - 2 ≥ 5

then

p ≥ 7

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An urn contains a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles d
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Answer:

We  can reject the hypothesis at the 0.05 significance level.

 

Step-by-step explanation:

given that an urn contains  a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles drawn at random from the urn revealed 2 red, 5 orange, 4 yellow, and 1 green marble.

H0: All colours are equally likely

Ha: atleast two colours are not equally likely

(Two tailed chi square test at 5% significance level)

color                  Red           Orange      Yellow      Green         total

Observed  O         2                     5                  4           1              12    

Expected   E         3                     3                   3          3              12

(O-E)^2/E             0.3333            5.3333        0.3333  5.3333     11.3333

chi square = 11.3333

df =3

p value = 0.010055

Since p < 0.05 we reject H0

We  can reject the hypothesis at the 0.05 significance level.

 

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