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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?

Respuesta :

Answer:

Step-by-step explanation:

Males proportion [tex]p_1 = \frac{163}{532} =0.3064[/tex]

Females proportion [tex]p_2 = \frac{203}{589} =0.3447[/tex]

[tex]H_0: p_1 = p_2\\H_a: p_1 <p_2[/tex]

(one tailed test for comparison of proportions)

Test statistic = [tex]\frac{p_1-p_2}{p(1-p)\sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }[/tex]

=-1.3641

Here p= combined proportion = [tex]\frac{163+203}{532+589} \\=0.3291[/tex]

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

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