the same data that you gathered in your Module Three Discussion Topic post. Opti
ID: 3073715 • Letter: T
Question
the same data that you gathered in your Module Three Discussion Topic post. Option 1 Think about a population mean that you may be interested in and propose a hypothesis test problem for this parameter. Gather appropriate data and post your problem and solution in the discussion topic For example, you may believe that the population mean number of times that adults go out for dinner each week is less than 1.5. Your data could be that you spoke with 7 people and found hat they went out 2, 0, 1, 5, o, 2, and 3 times last week. You then would choose to test this hypothesis at the.05 (or another level) significance level.Explanation / Answer
the decision topic post stating that think about a population mean
intrested in for the parameter chosen,
For instance i chose a population mean as 5, and the sample size of 8 numbers mentioned,
the times per week the go to Dukin donuts for coffee are 5,1,5,3,6,2,3,5
calculation procedure for Hypothesis
population mean(u)=5
sample mean, x =3.75
standard deviation, s =1.7525
number (n)=8
null, Ho: =5
alternate, H1: <5
level of significance, alpha = 0.05
from standard normal table,left tailed t alpha/2 =1.895
since our test is left-tailed
reject Ho, if to < -1.895
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =3.75-5/(1.7525/sqrt(8))
to =-2.0174
| to | =2.0174
critical value
the value of |t alpha| with n-1 = 7 d.f is 1.895
we got |to| =2.0174 & | t alpha | =1.895
make decision
hence value of | to | > | t alpha| and here we reject Ho
p-value :left tail - Ha : ( p < -2.0174 ) = 0.04172
hence value of p0.05 > 0.04172,here we reject Ho
ANSWERS
---------------
null, Ho: =5
alternate, H1: <5
test statistic: -2.0174
critical value: -1.895
decision: reject Ho
p-value: 0.04172
with the hypothesis test we conclude that the times per week the go to Dukin donuts for coffee are less than five
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.