# Hypothesis testing. How to choose null and alternate.hypothesis

Fewer than 5% of adults ride the bus to work in Los Angeles.

I thought for this null hypothesis is, Ho: p < 0.05, Ha: p >= 0.05, but the answer says I am wrong. Kindly help with this.

similarly for this question The chance of developing breast cancer is under 11% for women. Ho: p < 0.11 and Ha: p >= 0.11, is that correct. Please provide assistance

question no e and i

• The alternative is what you’re trying to prove. Perhaps you can try again with this in mind. // $5\%$ is $0.05$, not $0.5$. // Please add the self-study tag.
– Dave
Feb 7 at 15:53
• By mistake I've typed 0.5, it is 0.05. In this page, for the questions e and i, stats.libretexts.org/Bookshelves/Introductory_Statistics/… Feb 7 at 16:03
• Null hypothesis in such problems must always contain $=,$ perhaps as $\le, \ge$ or just $=.$ Parameter value for $=$ determines the null distribution. Feb 7 at 17:30