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 the523males surveyed,206responded "Yes"; among the503females surveyed,218responded "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 bottomPart 1(a) Determine the sample proportion for each sample. The proportions of the females and males who took the survey who are annoyed by thebehavior in questionare0.43340.4334and0.39390.3939,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≥10and n2p21−p2≥10Your 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? Letp1represent the population proportion of females who are annoyed by thebehavior in questionandp2represent the population proportion of males who are annoyed by thebehavior in question. H0:p1equals= p2H1:p1greater 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 ofpfemale−pmale.Draw a normal model with the area representing the P-value shaded for this hypothesis test. The sampling distribution is approximately normal with meanenter your response hereand standard deviationenter your response here.(Type an integer or decimal rounded to four decimal places as needed.)

Hypothesis tests are conducted to test the significant difference between two population…

Answered: Researchers wondered if there was a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

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.

n1p11−p1≥10

and n2p21−p2≥10

Your answer is correct.

The data come from a population that is normally distributed.

The sample size is less than 5% of the population size for each sample.

Your answer is correct.

The sample size is more than 5% of the population size for each sample.

The samples are independent.

Your answer is correct.

The samples are dependent.

Part 3

represent the population proportion of females who are annoyed by the

behavior in question

and

represent the population proportion of males who are annoyed by the

behavior in question.

H0:

equals=

H1:

greater than>

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here