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.
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 agoRelated Solutions
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