Answer:
0.456
0.324
Explanation:
The null and alternative hypothesis :
H0 : p = 0.40; HA :p < 0.40
Test statistic :
(Ph - P) / sqrt[(p*(1-p))/n]
Ph = X / n
X = 34 ; n = sample size = 80
Ph = 34 / 80 = 0.425
(0.425 - 0.4) / sqrt[(0.4(0.6)) / 80]
0.025 / sqrt(0.003)
0.025 / 0.0547722
Test statistic = 0.4564359
Test statistic = 0.456
Using the P-value from Zscore calculator :
Significance level of 95% ; one tailed
Z statistic value = 0.456
P value = 0.324195
= 0.324 ( 3 decimal places)
