Question

Topic: “Is there a different between teacher’s and parents’ perceptions of what constitutes effective school-to-home communication?”

Ho: this is the currently accepted statement that there is no significant difference between teachers and parents’ perceptions of what constitutes effective school-to home communication.

Ha: this is my research hypothesis that is making the statement that there is a significant difference between teacher’s and parents’ perceptions of what constitutes effective school-to-home communication.

Ho & Ha are opposite mathematically, thus the possible outcomes of this investigation is to

1. Reject the null hypothesis
2. Fail to reject the null hypothesis

How do the findings fail to reject or reject the null hypothesis?

1. Test Statistic- to calculate from sample data
2. Statistically Significant- making a decision
3. Level of Confidence- C- 95% , 99%

Answer 1

a.
Assumed sample data
mean(x)=3100
standard deviation , s.d1=200
number(n1)=100
y(mean)=2900
standard deviation, s.d2 =320
number(n2)=64
null, Ho: u1 = u2
alternate, H1: u1 != u2
level of significance, α = 0.05
from standard normal table, two tailed t α/2 =1.998
since our test is two-tailed
reject Ho, if to < -1.998 OR if to > 1.998
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =3100-2900/sqrt((40000/100)+(102400/64))
to =4.472
| to | =4.472
critical value
the value of |t α| with min (n1-1, n2-1) i.e 63 d.f is 1.998
we got |to| = 4.47214 & | t α | = 1.998
make decision
hence value of | to | > | t α| and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != 4.4721 ) = 0
hence value of p0.05 > 0,here we reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: u1 != u2
test statistic: 4.472
critical value: -1.998 , 1.998
decision: reject Ho
p-value: 0
we have enough evidence to support the claim that there is different between teacher’s and parents’ perceptions of what constitutes effective school-to-home communication

b.
at level of significance =0.01
Assumed sample data
mean(x)=3100
standard deviation , s.d1=200
number(n1)=100
y(mean)=2900
standard deviation, s.d2 =320
number(n2)=64
null, Ho: u1 = u2
alternate, H1: u1 != u2
level of significance, α = 0.01
from standard normal table, two tailed t α/2 =2.656
since our test is two-tailed
reject Ho, if to < -2.656 OR if to > 2.656
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =3100-2900/sqrt((40000/100)+(102400/64))
to =4.472
| to | =4.472
critical value
the value of |t α| with min (n1-1, n2-1) i.e 63 d.f is 2.656
we got |to| = 4.47214 & | t α | = 2.656
make decision
hence value of | to | > | t α| and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != 4.4721 ) = 0
hence value of p0.01 > 0,here we reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: u1 != u2
test statistic: 4.472
critical value: -2.656 , 2.656
decision: reject Ho
p-value: 0
we have enough evidence to support the claim that there is different between teacher’s and parents’ perceptions of what constitutes effective school-to-home communication