Answer:
Please find the attached file of the complete question:
Step-by-step explanation:
Given:
[tex]Pernod \ 5: n_1= 400\\\\ p_1=\frac{29}{400}=0.0725\\\\Action: \ n_2= 400\\\\ p_2=\frac{38}{400}= 0.095\\\\[/tex]
Calculating the value of the test hypothesis:
[tex]H_{O} \ :p_1-p_2=0\\\\ \ H_{a}:p_1-p_2 \neq 0[/tex]
Let [tex]a=0.02[/tex] is the critical value [tex]Z(0.01)= -2.33[/tex]
[tex]H_0[/tex] rejects when[tex]z <-2.33 \ \ or\ \ z >2.33 .[/tex]
Calculating the Pooled proportion:
[tex]= \frac{(29+38)}{(400+400)}\\\\ = \frac{(67)}{(800)} \\\\ = 0.08375\\\\=0.084[/tex]