Question

Test the hypothesis using the value approach Be sure to verify the requirements of the test Hy 7 versus Hyp>07 250 180 001 Iso (1-) 2107 Yes U chy to the value und themes and Enter your answer in the answer box and then die Check Awe . O VBNM

Answer 1

H0: p = 0.7, Null Hypothesis
H1: p > 0.7, Alternate Hypothesis

n = 250, x = 180,

a = 0.01

n*p*(1-p) = 250*0.7*(1-0.7) = 52.5
YES, it is greater than 10

mean ($\mu$) = n*p = 250*0.7 = 175
standard deviation

(0) = (1 - p/n = 0.7* 0.3/250 = 0.029

We are interested in testing the hypothesis

Null Hypothesis - - > Ho: p= po Alternate Hypothesis - - > H1 :p> po


Now, the value of test static van be found out by following formula:

Zo = X – npo npo(1 - po) 180.0 – 250.0.7 250.0.7(1 -0.7) = 0.6901

Since P-value of a two tailed test is equal to
2(1 - 6(20)


P=2(1 – 0 (0.6901))
= 2(1 - 0.7549) = 0.4902

Since $\alpha$ = 0.01, the boundaries of the critical region are $Z_{0.005}$ = 2.576 and
- 20.005
= -2.576 and we note that $Z_0$ does not falls in the critical region. Therefore, we fail to reject $H_0$ .