where people tum for news is different for various age groups. A study was condu
ID: 3326424 • Letter: W
Question
where people tum for news is different for various age groups. A study was conducted on the use of cellphones for accessing news. The study reported that 26% of users from a certain region under age 50 and 19% of users from the region age 50 and over accessed news on their cellphones. Suppose that the survey consisted of 1,100 users under age 50, of whom 286 accessed news on their cellphones, and 800 users age 50 and over, of whom 152 accessed news on their cellphones. Complete parts (a) through (c) below. a. Is there evidence of a significant difference in the proportion of users under age 50 and users 50 years and older that accessed the news on their cellphones? (Use = 0.05.) State the null and alternative hypotheses, where s the population proportion o users under age 50 from the region that access news on their cellphones and 2 s the population proportion o users from the region age 50 and over that access news on their cellphones. Determine the value of the test statistic. ZSTAT(Round to four decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The rritial valualai ie lanal Click to select your answerls 2Explanation / Answer
Given that,
sample one, x1 =286, n1 =1100, p1= x1/n1=0.26
sample two, x2 =152, n2 =800, p2= x2/n2=0.19
null, Ho: p1 = p2
alternate, H1: p1 != p2
level of significance, = 0.05
from standard normal table, two tailed z /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) = (p1-p2)/(p^q^(1/n1+1/n2))
zo =(0.26-0.19)/sqrt((0.231*0.7695(1/1100+1/800))
zo =3.5769
| zo | =3.5769
critical value
the value of |z | at los 0.05% is 1.96
we got |zo| =3.577 & | z | =1.96
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != 3.5769 ) = 0.0003
hence value of p0.05 > 0.0003,here we reject Ho
ANSWERS
---------------
null, Ho: p1 = p2
alternate, H1: p1 != p2
test statistic: 3.5769
critical value: -1.96 , 1.96
decision: reject Ho
p-value: 0.0003
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.