Question

Question 21 (4 points) Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With H1: p. 0.612, the test statistic is z = -3.06. 1) 0.0022; fail to reject the null hypothesis 2) 0.0011; fail to reject the null hypothesis 3) 0.0011; reject the null hypothesis 4) 0.0022; reject the null hypothesis

Answer 1

H1= p $\neq$ 0.612 (this means, its a two tailed test)

Test statistic, z = -3.06

P- value = 2 P( z < -3.06 )

= 2* [ 1- P(z < 3.06)]

= 2 * [ 1- 0.99889]

= 2 * 0.00111

= 0.0022

Now, P-value < significance level ( 0.05) ; we will reject the null hypothesis

Answer- 4) 0.0022 ; reject the null hypothesis.