PROBLEM: A recent study concluded that 76% of teens aged 13-17 use Instagram. Joseph is an AP Statistics student who believes the proportion is greater for students at his large high school. He would like to carry out a test at the = 0.05 significance level of H: p = 0.75 H: p < 0.75, where p = true proportion of all students at this high school who use Instagram. Joseph selects a random sample of 50 students from his high school and finds that 41 of them use Instagram.

1. Check if the conditions for performing the significance test are met.
2. Explain why the sample result gives some evidence for the alternative hypothesis.
3. Calculate the standardized test statistic and P-value.
4. What conclusion would you make?