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 523 males surveyed, 206 responded "Yes"; among the 503 females surveyed, 218 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below.
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 523 males surveyed, 206 responded "Yes"; among the 503 females surveyed, 218 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below.
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 523 males surveyed, 206 responded "Yes"; among the 503 females surveyed, 218 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below.
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
523
males surveyed,
206
responded "Yes"; among the
503
females surveyed,
218
responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts (a) through (g) below.
This is the original question !
Question content area bottom
Part 1
(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
0.43340.4334
and
0.39390.3939,
respectively.
(Round to four decimal places as needed.)
Part 2
(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.
n1p11−p1≥10
and n2p21−p2≥10
Your answer is correct.
B.
The data come from a population that is normally distributed.
C.
The sample size is less than 5% of the population size for each sample.
Your answer is correct.
D.
The sample size is more than 5% of the population size for each sample.
E.
The samples are independent.
Your answer is correct.
F.
The samples are dependent.
Part 3
(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.
H0:
p1
equals=
p2
H1:
p1
greater than>
p2
I need the help specifically with Part 4 however the above is the work I have done with the figures for the problem thus far
Part 4
(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
enter your response here
and standard deviation
enter your response here.
(Type an integer or decimal rounded to four decimal places as needed.)
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
