Question

In: Statistics and Probability

Runaways The FBI has stated that most runaways are females. A recent sampling of 90 cases...

Runaways The FBI has stated that most runaways are females. A recent sampling of 90 cases involving runaways indicated that 63 of them were female.

a. What is the inherent question of interest here? b.What might be a reasonable description of the population of interest? c.What is the relevant sample here? d.What is the random variable being evaluated here? e.What is the population parameter of interest? f.What is this parameter’s corresponding sample statistic? g.What is an appropriate research hypothesis to consider? h.What is the corresponding null hypothesis? i.What is the test statistic used to test these hypotheses? j.What is the null distribution of this test statistic? k.What is the decision rule that might be used here? l.What decision was made with regard to the null hypothesis? m.What is your conclusion based on the available data?

Solutions

Expert Solution

(a)

The inherent question of interest here is: Are most runaways females?

(b)

A reasonable description of the population of interest is: All persons who have runaway.

(c)

The relevant sample here : 90 cases involving runaways

(d)

The random variable being evaluated here: The proportion of females in runaways.

(e)

The population parameter of interest : The proportion of females in the entire runaways.

(f)

This parameter’s corresponding sample statistic The proportion of females in the sample of 90 cases of runaways.

(g)

An appropriate research hypothesis to consider :
H1: P > 0.50 (The most runaways are females)

(h)

The corresponding null hypothesis :

H0: P 0.50 (The most runaways are not females)

(i)

the test statistic used to test these hypotheses:

Z test for one population proportion

(j)

the null distribution of this test statistic :

Standard Normal Distribution

(k)

the decision rule that might be used here:

Take = 0.05

From Table, critical value of Z = 1.64

Decision Rule:
Reject H0 if Z > 1.64

(l)

Test Statistic is given by:

Since calculated value of Z = 3.795 is greater than critical alueof Z = 1.64:

reject null hypothesis.

(m)

The data support the claim that the most runaways are females.


Related Solutions

Runaways The FBI has stated that most runaways are females. A recent sampling of 90 cases...
Runaways The FBI has stated that most runaways are females. A recent sampling of 90 cases involving runaways indicated that 63 of them were female. a. What is the inherent question of interest here? b.What might be a reasonable description of the population of interest? c.What is the relevant sample here? d.What is the random variable being evaluated here? e.What is the population parameter of interest? f.What is this parameter’s corresponding sample statistic? g.What is an appropriate research hypothesis to...
4.   Sampling and Sampling Distributions In the most recent hearing on Highway safety at the New York...
4.   Sampling and Sampling Distributions In the most recent hearing on Highway safety at the New York City Council hearings, it was determined that the average travels 1,123 miles per month.  Assume the population standard deviation is 341 miles per month. Determine the interval that will contain 95% of the sample means for the sample size of a. 30 drivers b. 45 drivers c. Explain the difference in these probabilities
How are most cases resolved? Most cases go to trial. Most civil cases settle, but most...
How are most cases resolved? Most cases go to trial. Most civil cases settle, but most criminal cases go to trial. Most criminal cases end in a guilty plea, but most civil cases go to trial. Most civil cases settle and most criminal cases end in a guilty plea.
The Institute of Medicine has stated a goal that 90% of practice be evidence-based by 2020....
The Institute of Medicine has stated a goal that 90% of practice be evidence-based by 2020. According to HealthyPeople.gov, the United States is currently at approximately 15%. Discuss two barriers that might hold nursing practice from achieving this goal, and suggest ways in which identified barriers may be addressed.
A statistics professor has stated that 90% of his students pass the class. To check this...
A statistics professor has stated that 90% of his students pass the class. To check this claim, a random sample of 150 students indicated that 129 passed the class. If the professor's claim is correct, what is the probability that 129 or fewer will pass the class this semester? A) 0.0516 B) 0.9484 C) 0.5516 D) 0.4484 please show work
In a recent economic report, it is stated that the Malaysian government’s debt has reached RM777.1...
In a recent economic report, it is stated that the Malaysian government’s debt has reached RM777.1 billion in March 2019. a) What is the primary cause for governments all around the world, including Malaysia, to accumulate public debt?                                                          (1 mark) b) What is the commonly used indicator to ascertain how serious the level of a government’s debt? What is the logic behind the use of this indicator?            c) What would be the problems faced by the country/people if...
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so,...
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 : Suppose a sample of 871 suspected criminals is drawn. Of these people, 628 were not captured. Using the data, construct the 99% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list....
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so,...
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 : Suppose a sample of 977 suspected criminals is drawn. Of these people, 400 were captured. Using the data, construct the 99% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round...
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so,...
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Suppose a sample of 739 suspected criminals is drawn. Of these people, 236 were captured. Using the data, construct the 98% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal...
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so,...
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 :   Suppose a sample of 434 suspected criminals is drawn. Of these people, 169 were captured. Using the data, construct the 80% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT