A newspaper report claims that $30\%$ of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees, and he wonders if the newspaper’s claim holds true at his company. To find out, Leo asks a simple random sample of $125$ tea-drinking employees which they prefer: green tea or black tea. Leo wants to perform a test of $H_o:p=0.30$ $H_a: p \neq0.30$ where $p$ is the true proportion of tea-drinking employees at Leo’s company who prefer green tea to black tea. The company’s statistician is concerned that Leo’s test will not have enough power to detect if the true proportion $p$ of tea-drinking employees at the company who prefer green tea to black tea differs from $0.30$. **Which of the following would give Leo’s test the highest power?** [[☃ radio 1]]