Scenario ti1 (10 points Kelly wants to determine if the 254 counties in Texas ha

Question

Scenario ti1 (10 points Kelly wants to determine if the 254 counties in Texas have more murders compared to the 3.007 counties in the U.S. Kelly collects data from 254 counties in Texas and then averages the number of murders across all254 counties in Texas. Below is the average number of murders per county in Texas and the average number of murders per county in the U.S. Help Kelly determine if the average number of in the 254 counties in Texas is significantly different than the average number ofmurder in the 3,007 counties across the U.S. N (number of T Mean (average Standard Deviation number of counties) murders across counties) H-28 United States 3,007 SD 5.2 samo State of Texas T2sa M- 21 1. Null hypothesis? (l point) 2. Non-directional alternative hypothesis? (I point) murdurs but een eve in ad Arena amant af 3. What type of statistical test is most appropriate to use given the research question? (1 point 4. Use inferential statistics and calculate the test statistic. 47

Explanation / Answer

Given that,
mean(x)=28
standard deviation , 1 =7.5
number(n1)=3007
y(mean)=21
standard deviation, 2 =5.2
number(n2)=254
null, Ho: u1 = u2
alternate, H1: 1 > u2
level of significance, = 0.05
from standard normal table,right tailed z /2 =1.645
since our test is right-tailed
reject Ho, if zo > 1.645
we use test statistic (z) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
zo=28-21/sqrt((56.25/3007)+(27.04/254))
zo =19.79
| zo | =19.79
critical value
the value of |z | at los 0.05% is 1.645
we got |zo | =19.786 & | z | =1.645
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: right tail -Ha : ( p > 19.79 ) = 0
hence value of p0.05 > 0,here we reject Ho

ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: 1 > u2
test statistic: 19.79
critical value: 1.645
decision: reject Ho
p-value: 0

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.