Critical value z_{0.05}=-1.645
Decision Rule, Reject H if z< -1.645
We do not reject the null hypothesis.
Generally, the equation for the hypothesis is mathematically given as
H P=0.3
H2:P<0.13
Therefore
[tex]z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\z=\frac{0.11-0.13 }{\sqrt{\frac{0.13(1-0.13)}{76}}}[/tex]
z=-0.52
In conclusion, from the table
Critical value z_{0.05}=-1.645
Decision Rule, Reject H if z< -1.645
In conclusion, we do not reject the null hypothesis.
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