In: Statistics and Probability
Test the hypothesis using the P-value approach.
Upper H 0 : p equals 0.50 versus Upper H 1 : p less than 0.50
n equals 150 comma x equals 66 comma alpha equals 0.10
Perform the test using the P-value approach.
P-valueequals
nothing (Round to four decimal places as needed.)
Null hypothesis
Alternative hypothesis
We have for given example,
Population proportion value is =0.5
x=66
n=150
Level of significance = 0.1
Estimate for sample proportion =0.44
Z test statistic formula for proportion
=-1.47
P value = 0.0708..................by using Z table or Excel =NORMSDIST(-1.47)
P value < 0.10
Therefore, we reject H0 at