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 538 males surveyed, 182 responded "Yes"; among the 552 females surveyed, 209 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 question are 3786 and 3383 , respectively. (Round to four decimal places as needed.) (b) Explain why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply. OA. niPi (1-P1) 2 10 and ng2 (1-P2) 2 10 O B. The samples are independent. O c. The samples are dependent. O D. The sample size is more than 5% of the population size for each sample. O E. The sample size is less than 5% of the population size for each sample. OF. The data come from a population that is normally distributed.

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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 538 males surveyed, 182 responded "Yes"; among the 552 females surveyed, 209 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 question are .3786 and .3383 , respectively.
(Round to four decimal places as needed.)
(b) Explain why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply.
O A. n, p1 (1-p1 2 10 and n2P2 (1- P2) 2 10
B. The samples are independent.
C. The samples are dependent.
D. The sample size is more than 5% of the population size for each sample.
E. The sample size is less than 5% of the population size for each sample.
F. The data come from a population that is normally distributed.
O O O
Transcribed Image Text: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 538 males surveyed, 182 responded "Yes"; among the 552 females surveyed, 209 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 question are .3786 and .3383 , respectively. (Round to four decimal places as needed.) (b) Explain why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply. O A. n, p1 (1-p1 2 10 and n2P2 (1- P2) 2 10 B. The samples are independent. C. The samples are dependent. D. The sample size is more than 5% of the population size for each sample. E. The sample size is less than 5% of the population size for each sample. F. The data come from a population that is normally distributed. O O O
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