Homework: Week 7 Homework 40 pts Save Score: 0 of 4 pts | 130f 14 (11 complete)

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Homework: Week 7 Homework 40 pts Save Score: 0 of 4 pts | 130f 14 (11 complete) HW Score: 51.04%, 20.42 of 40 pts 9.3.15 Question Help An annual survey of first-year college students asks 277.000 students about their attudes on a variety of subjects. According to a recent survey, 54% of fist year students believe that abortion should be legal Use a 0,05 significance level to test the claim that over half of all first-year students believe that abortion should be legal Formulate the null and altenative hypotheses. Choose the correct answer below H, p 05 0 c. H0: p=0.5 Ha : p#05 Ha p 05 OD. Ho P- 05 Ha p 05 cick to select your answer and then click check Answer CheckAnswe O Type here to search 12/10/20172

Explanation / Answer

9.3.15.

Given that,
possibile chances (x)=149580
sample size(n)=277000
success rate ( p )= x/n = 0.54
success probability,( po )=0.5
failure probability,( qo) = 0.5
null, Ho:p=0.5  
alternate, H1: p!=0.5
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 proportion = p-po/sqrt(poqo/n)
zo=0.54-0.5/(sqrt(0.25)/277000)
zo =42.1046
| zo | =42.1046
critical value
the value of |z | at los 0.05% is 1.96
we got |zo| =42.105 & | 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 != 42.10463 ) = 0
hence value of p0.05 > 0,here we reject Ho
ANSWERS
---------------
null, Ho:p=0.5
alternate, H1: p!=0.5
test statistic: 42.1046
critical value: -1.96 , 1.96
decision: reject Ho
p-value: 0

we have enough evidence to support the claim

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