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

531531

males​ surveyed,

189189

responded​ "Yes"; among the

535535

females​ surveyed,

210210

responded​ "Yes." Does the evidence suggest a higher proportion of females are annoyed by this​ behavior? Complete parts​ (a) through​ (g) below.

​(a) Determine the sample proportion for each sample.

The proportions of the females and males who took the survey who are annoyed by the

behavior in questionbehavior in question

are

nothing

and

nothing​,

respectively.

Answer 1

Solution :

a) Number of males surveyed who are annoyed by the behavior in questionbehavior in question = 189

Total number of male surveyed = 531

Hence, sample proportion of males who are annoyed by the behavior in questionbehavior in question is,

p̂​​​​​1 = 189/531 = 0.3559

Number of females surveyed who are annoyed by the behavior in questionbehavior in question = 210

Total number of female surveyed = 535

Hence, sample proportion of females who are annoyed by the behavior in questionbehavior in question is,

p̂​​​2 = 210/535 = 0.3925

The proportions of the females and males who took the survey and who are annoyed by the behavior in questionbehavior in question are 0.3559 and 0.3925 respectively.

Note : Only (a) part has been given. Please provide the parts (b) to (g) then I will be able to answer to rest of the parts.