Mth 139 Quiz Sec 74 Directions: repair durie ovens advertises that no more than

Question

Mth 139 Quiz Sec 74 Directions: repair durie ovens advertises that no more than 10% of its microwaves need years old. I 5% ornize your work and label your solutions Good Luck e e fist 5 years of use. In a random sample of 60 microwaves that are 5 A maker of m needed repairs. At -005, can you reject the makers claim that no more 10% of its microwaves need repair during the first 5 years of use? Test Statistic: Left, right or two-tailed? P-Value: Conclusion: (2 part) A medical researcher says that at least 23% of U.S. adults are smokers. In a random sample of 200 U.S. adults, 45 say that they are smokers. At = 0.05 , do you have enough evidence to reject the researcher's claim? 2. Ho: Ha: Test Statistic: Left, right or two-tailed? P-Value: Conclusion: (2 part)

Explanation / Answer

Given that
sample size(n)=60
success rate ( p )= x/n = 0.15
success probability,( po )=0.1
failure probability,( qo) = 0.9
null, Ho:p=0.1  
alternate, H1: p>0.1
level of significance, = 0.05
from standard normal table,right tailed z /2 =1.64
since our test is right-tailed
reject Ho, if zo > 1.64
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.15-0.1/(sqrt(0.09)/60)
zo =1.291
| zo | =1.291
critical value
the value of |z | at los 0.05% is 1.64
we got |zo| =1.291 & | z | =1.64
make decision
hence value of |zo | < | z | and here we do not reject Ho
p-value: right tail - Ha : ( p > 1.29099 ) = 0.09835
hence value of p0.05 < 0.09835,here we do not reject Ho
ANSWERS
---------------
null, Ho:p=0.1
alternate, H1: p>0.1
test statistic: 1.291
critical value: 1.64
decision: do not reject Ho
p-value: 0.09835

we have evidence that no more than 10% of its microwave needs repair during the first 5 years

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