Answer:
-Accept [tex]H_o[/tex]
-There is no sufficient evidence to back the claim that the proportion of American adults who oppose reinstatement of the draft is greater than 0.7
Step-by-step explanation:
-We state our hypotheses as:
[tex]H_o:p=0.7\\\\\\H_a:p>0.7[/tex]
#We the calculate the proportion to be studied using the formula:
[tex]\hat p=\frac{x}{n}\\\\=\frac{710}{1000}\\\\=0.71[/tex]
-The z-value from this proportion is calculated as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}\\\\=\frac{0.71-0.7}{\sqrt{\frac{0.7\times0.3}{1000}}}\\\\\\=0.6901[/tex]
#We compare this z-value to the z-value at 95% confidence level:
[tex]z_{0.025}=1.645\\\\0.6901<1.645[/tex]
Hence, Accept the null hypothesis.
-There is no sufficient evidence to back the claim that the proportion of American adults who oppose reinstatement of the draft is greater than 0.7
