Respuesta :
Answer:
Option (a) We cannot conclude that more than 10% of the population is left-handed.
Step-by-step explanation:
We are given the following in the question:
Proportion of population that is left handed = 10% = 0.10
Significance level, α = 0.05
First, we design the null and the alternate hypothesis
[tex]H_{0}: p = 0.10\\H_A: p > 0.10[/tex]
The null hypothesis sates that 10% of population is left handed and the alternate hypothesis state that more than 10% of the population is left handed.
This is a one tailed test.
The computed p-value is
P-value = 0.25
Comparison:
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Thus, we conclude that 10% of the population is left handed.
Thus, the correct answer is
Option (a) We cannot conclude that more than 10% of the population is left-handed.
