Question

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

Ho:p=0.7 versus H1: p>0.7 N=100, X=85, a=0.1

Is npo (1-npo)>_ 10? A: No B:Yes

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 a.

Answer 1

Answer)

Null hypothesis Ho : P = 0.7

Alternate hypothesis Ha : P > 0.7

Npo(1-po) = 100*0.7*(1-0.7) = 21 > 10.

Yes.

First we need to check the conditions of normality that is if n*p and n*(1-p) both are greater than 5 or not

N*p = 70

N*(1-p) = 100

Both the conditions are met so we can use standard normal z table to estimate the P-Value

Test statistics z = (oberved p - claimed p)/standard error

Standard error = √{claimed p*(1-claimed p)/√n

Observed P = 85/100

Claimed P = 0.7

N = 100

After substitution,

Z = 3.27

From z table, P(z>3.27) = 0.0005

P-value = 0.0005

Reject the null hypothesis because.p-value is less than 0.1 (alpha)