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One sample tests for proportions

A newspaper report claims that 30%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 125125 tea-drinking employees which they prefer: green tea or black tea. Leo wants to perform a test of
Ho:p=0.30H_o:p=0.30
Ha:p0.30H_a: p \neq0.30
where pp 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 pp of tea-drinking employees at the company who prefer green tea to black tea differs from 0.300.30.
Which of the following would give Leo’s test the highest power?
Choose 1 answer:
Choose 1 answer: