ations make a rescarch paper scem higher quality, even if those equa- al nonsens

Question

ations make a rescarch paper scem higher quality, even if those equa- al nonsense? In 2012, one researcher decided to figure this out by taking a published sociology paper and clipping the results from it. He the signed a ing this results section: some participants saw the exact results section, while a different group of people saw the results sections with one additional nonsense equation written af- terwards. All the participants had a postgraduate degree. The participants were askod to score the paper's quality (between 0 and 100) based on what they read. Original Results Section 72.1 16.2 84 Rcsults Nonsense Equation 78.7 17.3 75 Mean SD Quality scores for the experiment 1. Using 0.05, conduct a hypothesis test so see if a nonsense equation can increase people's perception of the quality of a paper a picture of a sampling distribution, 3) shade a p-value, 4) find the p-value, and 5) state your decision based on the p-value. ke sure to: 1) state hypotheses, 2) draw

Explanation / Answer

Given that,
mean(x)=72.1
standard deviation , 1 =16.2
number(n1)=84
y(mean)=78.7
standard deviation, 2 =17.3
number(n2)=75
null, Ho: u1 = u2
alternate, H1: 1 < u2
level of significance, = 0.05
from standard normal table,left tailed z /2 =1.645
since our test is left-tailed
reject Ho, if zo < -1.645
we use test statistic (z) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
zo=72.1-78.7/sqrt((262.44/84)+(299.29/75))
zo =-2.47
| zo | =2.47
critical value
the value of |z | at los 0.05% is 1.645
we got |zo | =2.474 & | z | =1.645
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: left tail - Ha : ( p < -2.47 ) = 0.00667
hence value of p0.05 > 0.00667,here we reject Ho
ANSWERS
---------------
null, Ho: u1 = u2
alternate, H1: 1 < u2
test statistic: -2.47
critical value: -1.645
decision: reject Ho
p-value: 0.00667

we have evidence that people saw the result section with one additional
nonsense equation increases the quality of paper

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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