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 524 males surveyed, 204 responded "Yes"; among the 511 females surveyed, 215 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 0.4207 and 0.3893, 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. A. The sample size is less than 5% of the population size for each sample. B. n₁P₁ (1-₁) 210 and n₂P2 (1-P₂) ≥10 C. The samples are dependent. D. The samples are independent. E. The data come from a population that is normally distributed. F. The sample size is more than 5% of the population size for each sample. (c) What are the null and alternative hypotheses? Let p, represent the population proportion females who are annoyed by the behavior in question and p₂ represent the population proportion of males who are annoyed by the behavior in question. Ho: P₁ P₂ H₁: P₁ P₂ (d) Describe the sampling distribution of Pfemale - Pmale-Draw a normal model with the area representing the P-value shaded for this hypothesis test. The sampling distribution is approximately normal with mean and standard deviation. (Type an integer or decimal rounded to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
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Having some trouble on part D with sample distribution mean and deviation, thank you.

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 524 males surveyed, 204 responded "Yes"; among the 511 females surveyed, 215 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 0.4207 and 0.3893, 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.
A. The sample size is less than 5% of the population size for each sample.
B. m₁p₁ (1-0₁) ² ≥ 10 and n₂p₂ (1-P₂
2P2
-P₂)
≥10
C. The samples are dependent.
D. The samples are independent.
E. The data come from a population that is normally distributed.
F. The sample size is more than 5% of the population size for each sample.
(c) What are the null and alternative hypotheses? Let p₁ represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question.
Ho: P₁
= P2
H₁: P₁
P2
(d) Describe the sampling distribution of Pfemale Pmale. Draw a normal model with the area representing the P-value shaded for this hypothesis test.
The sampling distribution is approximately normal with mean and standard deviation
(Type an integer or decimal rounded to four decimal places as needed.)
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 524 males surveyed, 204 responded "Yes"; among the 511 females surveyed, 215 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 0.4207 and 0.3893, 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. A. The sample size is less than 5% of the population size for each sample. B. m₁p₁ (1-0₁) ² ≥ 10 and n₂p₂ (1-P₂ 2P2 -P₂) ≥10 C. The samples are dependent. D. The samples are independent. E. The data come from a population that is normally distributed. F. The sample size is more than 5% of the population size for each sample. (c) What are the null and alternative hypotheses? Let p₁ represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question. Ho: P₁ = P2 H₁: P₁ P2 (d) Describe the sampling distribution of Pfemale Pmale. Draw a normal model with the area representing the P-value shaded for this hypothesis test. The sampling distribution is approximately normal with mean and standard deviation (Type an integer or decimal rounded to four decimal places as needed.)
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