Respuesta :
Answer:
[tex]p_v =2* P(z>3.06)=0.0011 [/tex]
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 : [tex] p=0.377[/tex]
Alternative hypothesis: [tex]p \neq 0.377[/tex]
In order to check this hypothesis we can use a z test for a proportion. The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
And the value for this case is [tex] z= 3.06[/tex]
We are conducting a bilateral test so then the p value can be founded on this way:
[tex]p_v =2* P(z>3.06)=0.0011 [/tex]
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
