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.
Suppose twenty-seven of the $125$ employees surveyed say that they prefer green tea, and this results in a $p$-value of $0.04$ for this test.
**What conclusion should Leo make at the $\alpha=0.05$ significance level?**
[[☃ radio 1]]