Answer: -6.26
Step-by-step explanation:
Test statistic for population proportion is given by :-
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
, where p = population proportion.
= sample proportion.
n= sample size.
As per given , we have
![H_a:p](https://tex.z-dn.net/?f=H_a%3Ap%3C0.93)
n= 1021
Then, the test statistic will be :-
![z=\dfrac{0.88-0.93}{\sqrt{\dfrac{0.93(1-0.93)}{1021}}}\\\\=\dfrac{-0.05}{\sqrt{0.0000637610186092}}\\\\=\dfrac{-0.05}{0.0079850496936}\\\\=-6.26170179506\approx-6.26](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.88-0.93%7D%7B%5Csqrt%7B%5Cdfrac%7B0.93%281-0.93%29%7D%7B1021%7D%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-0.05%7D%7B%5Csqrt%7B0.0000637610186092%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-0.05%7D%7B0.0079850496936%7D%5C%5C%5C%5C%3D-6.26170179506%5Capprox-6.26)
Hence, the value of the test statistic is -6.26 .
The answer is 13n+13 because when combining like terms (18n and -5n), you get 13n and you're left with the number without a variable which is 13