Question

Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and​ females, the following​ question: "Are you annoyed by people who repeatedly check their mobile phones while having an​ in-person conversation?" Among the 532 males​ surveyed, 163 responded​ "Yes"; among the 589 females​ surveyed, 203 responded​ "Yes." Does the evidence suggest a higher proportion of females are annoyed by this​ behavior?

Answer 1

Answer:

Step-by-step explanation:

Males proportion $p_1 = \frac{163}{532} =0.3064$

Females proportion $p_2 = \frac{203}{589} =0.3447$

$H_0: p_1 = p_2\\H_a: p_1$

(one tailed test for comparison of proportions)

Test statistic = $\frac{p_1-p_2}{p(1-p)\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$

=-1.3641

Here p= combined proportion = $\frac{163+203}{532+589} \\=0.3291$

p value = 0.0869

Since p >0.05, accept null hypothesis.

The evidence does not suggest a higher proportion of females are annoyed by this​ behavior