b. In 1963, roughly 67% of Americans approved of labor unions. At the 5% signifi
ID: 3355792 • Letter: B
Question
b. In 1963, roughly 67% of Americans approved of labor unions. At the 5% significance level, do the data provide sufficient evidence to conclude that the percentage of Americans who approve of labor unions now has decreased since 1963? 12.90 An Edge in Roulette? Of the 38 numbers on an American roulette wheel, 18 are red, 18 are black, and 2 are green. If the wheel is balanced, the probability of the ball landing on red is = 0.474. A gambler has been studying a roulette wheel. If the wheel is out of balance, he can improve his odds of winning. The gambler observes 200 spins of the wheel and finds that the ball lands on red 93 times. At the 10% significance level, do the data provide sufficient evidence to conclude that the ball is not landing on red the correct percentage 38 of the time for a balanced wheel? 12.91 Economic Stimulus. In a national poll, 1053 U.S. adults were asked, "As you may know, Congress is considering a new eco- nomic stimulus package of at least 800 billion dollars. Do you favor oppose Congress passing this legislation?" Of those sampledExplanation / Answer
Given that,
possibile chances (x)=93
sample size(n)=200
success rate ( p )= x/n = 0.465
success probability,( po )=0.474
failure probability,( qo) = 0.526
null, Ho:p=0.474
alternate, H1: p!=0.474
level of significance, = 0.1
from standard normal table, two tailed z /2 =1.64
since our test is two-tailed
reject Ho, if zo < -1.64 OR if zo > 1.64
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.465-0.474/(sqrt(0.249324)/200)
zo =-0.2549
| zo | =0.2549
critical value
the value of |z | at los 0.1% is 1.64
we got |zo| =0.255 & | z | =1.64
make decision
hence value of |zo | < | z | and here we do not reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -0.2549 ) = 0.7988
hence value of p0.1 < 0.7988,here we do not reject Ho
ANSWERS
---------------
null, Ho:p=0.474
alternate, H1: p!=0.474
test statistic: -0.2549
critical value: -1.64 , 1.64
decision: do not reject Ho
p-value: 0.7988
we have evidence that ball is landing on the correc percentage of
the time for a balananced wheel
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.