According to the hypothesis tested, the confidence interval that would lead us to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_0: p < 0.3[/tex] is given by:
(b) (0.19, 0.27)
What are the hypothesis tested?
At the null hypothesis, we test if the proportion is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is less than 0.3, that is:
[tex]H_1: p < 0.3[/tex]
We want to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_1: p < 0.3[/tex], hence we need an interval that is entirely below 0.3, which is given by option b.
You can learn more about confidence intervals at https://brainly.com/question/16236451
