Question

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.

H0: p=0.6 versus H1: p>0.6

n=250; x=160, a=0.01

Is np 0 ( 1−p0) ≥10?

Yes or NO?

Use technology to find the P-value.

P- value=________

(Round to three decimal places as needed.)

__________the null hypothesis, because the P-value is __________ than α.

please answer each line.

Answer #1

H_{0} : p = 0.6 versus H_{1} : p > 0.6

n = 250

x = 160

sample proportion, p' = x/n = 160/250 = 0.64

p_{0} = 0.6

q_{0} = 1-p_{0} = 1-0.6 = 0.4

**n p _{0} (1-p_{0}) = 250 0.6
0.4 = 60
>10**

Answer :
**Yes**

**-----------------------------------------------------------------------------------------------------------------------------------------------------------**

The test statistic is,

**P- Value = 0.098**

Here = 0.01

**Accept** the null
hypothesis, because the P-value is **greater** than .

**-----------------------------------------------------------------------------------------------------------------------------------------------------------------**

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