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### Kurs: Statystyka - program rozszerzony>Rozdział 11

Lekcja 3: Testowanie hipotez o proporcji

# Wyciąganie wniosków z testu dotyczącego proporcji

Antonia read an article that said $26\mathrm{%}$ of Americans can speak more than one language. She was curious if this figure was higher in her city, so she tested ${H}_{0}:p=0.26$ vs. ${H}_{\text{a}}:p>0.26$, where $p$ represents the proportion of people in her city that can speak more than one language.
Antonia took a sample of $120$ people in her city found that $35\mathrm{%}$ of those sampled could speak more than one language. The test statistic for these results was $z\approx 2.25$, and the corresponding P-value was approximately $0.01$. Assume that the conditions for inference were met.
Is there sufficient evidence at the $\alpha =0.05$ level to conclude that the proportion of people in her city that can speak more than one language is greater than $26\mathrm{%}$?