Question

In: Statistics and Probability

for the following question, choose the right statistical test, justify it, and write the results. a...

for the following question, choose the right statistical test, justify it, and write the results.

a study tested whether giving students directed reading activities would result in higher reading performance. a random sample of 44 students are randomly assigned to one of two activities (directed reading or control). after undergoing the activities, each student’s reading performance was measured.

Solutions

Expert Solution

Given that,
possible chances (x)=1
sample size(n)=44
success rate ( p )= x/n = 0.023
success probability,( po )=0.5
failure probability,( qo) = 0.5
null, Ho:p=0.5
alternate, H1: p!=0.5
level of significance, alpha = 0.05
from standard normal table, two tailed z alpha/2 =1.96
since our test is two-tailed
reject Ho, if zo < -1.96 OR if zo > 1.96
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.02273-0.5/(sqrt(0.25)/44)
zo =-6.332
| zo | =6.332
critical value
the value of |z alpha| at los 0.05% is 1.96
we got |zo| =6.332 & | z alpha | =1.96
make decision
hence value of | zo | > | z alpha| and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -6.33174 ) = 0
hence value of p0.05 > 0,here we reject Ho
ANSWERS
---------------
null, Ho:p=0.5
alternate, H1: p!=0.5
test statistic: -6.332
critical value: -1.96 , 1.96
decision: reject Ho
p-value: 0
we have enough evidence to support the claim that whether giving students directed reading activities would result in higher reading performance

orchestra answered 2 years ago
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