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The test statistic TS can be calculated using the equation:
![TS=\frac{\mu-\mu_0}{\sigma/\sqrt[]{n}}](https://img.qammunity.org/2023/formulas/mathematics/college/rhwfgmbnwam7ebh6th1gp44mc7ctxvpak6.png)
Where μ is the sample mean, μ₀ is the null hypothesis mean, σ is the standard deviation and n is the sample size. From the problem, we identify:

Using those values on the equation above:
![TS=\frac{0.58-0.50}{0.5/\sqrt[]{674}}=4.15](https://img.qammunity.org/2023/formulas/mathematics/college/fyjc97zklfd11jq0lnxokpqutc24wp00v7.png)