Answer:
And since the p value is lower than the significance level we have enough evidence to reject the null hypothesia and the best option is:
C. 0.0011; reject the null hypothesis
Step-by-step explanation:
For this case we have the following system of hypothesis:
Null hypothesis :
Alternative hypothesis:
In order to check this hypothesis we can use a z test for a proportion. The statistic is given by:
(1)
And the value for this case is
We are conducting a bilateral test so then the p value can be founded on this way:
And since the p value is lower than the significance level we have enough evidence to reject the null hypothesia and the best option is:
C. 0.0011; reject the null hypothesis