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luda_lava [24]
3 years ago
12

Find the y-intercept of the line 2x+10y=20 type in an ordered pair as your answer.

Mathematics
1 answer:
dybincka [34]3 years ago
3 0

(0, 2 )

to find the y-intercept, let x = 0 in the equation

x = 0 , then 10y = 20 ⇒ y = 2 ← ( y- intercept ) ⇔ (0, 2 )



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Answer:

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

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Let p be the probability of heads in a single toss of the coin. Then our null hypothesis that the coin is fair will be formulated as

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Heads (x)        Probability (X=x)                        Cumulative     Decumulative

0                        1/16384 (1)             0.000061     0.000061

1                         1/16384  (14)         0.00085             0.000911

2                       1/16384 (91)           0.00555             0.006461

3                       1/16384(364)         0.02222

4                       1/16384(1001)         0.0611

5                       1/16384(2002)       0.122188

6                        1/16384(3003)      0.1833

7                         1/16384(3432)      0.2095

8                        1/16384(3003)       0.1833

9                        1/16384(2002)       0.122188

10                       1/16384(1001)        0.0611

11                       1/16384(364)        0.02222

12                      1/16384(91)            0.00555                             0.006461

13                     1/16384(14)              0.00085                           0.000911

14                       1/16384(1)            0.000061                            0.000061

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We observe that P (X≤2) =   0.006461 > 0.025

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Hence critical region is (X≤0) and ( X≥14)

Computation x= 12

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