Quiz on chapter 10 SCOC Name Ilal SHORT ANSWER. Write the word or phrase that be

Question

Quiz on chapter 10 SCOC Name Ilal SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. 1) According to a recent poll 53% of Americans would vote for the incumbent president. If a random sample of 100 people results in 45% who would vote for the incumbent test the claim that the actual percentage is 50% Use a 0.10 significance level. Hypothesis NULL HYPOTHESIS ALTERNATE HYPOTHESIS TEST STATISTICS: Formula Value Confidence level cv GRAPH P-value DECISION CONCLUSION

Explanation / Answer

Q1.

Given that,
possibile chances (x)=0.45
sample size(n)=100
success rate ( p )= x/n = 0.0045
success probability,( po )=0.53
failure probability,( qo) = 0.47
null, Ho:p=0.53  
alternate, H1: p!=0.53
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=0.0045-0.53/(sqrt(0.2491)/100)
zo =-10.529
| zo | =10.529
critical value
the value of |z ?| at los 0.1% is 1.64
we got |zo| =10.529 & | z ? | =1.64
make decision
hence value of | zo | > | z ?| and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -10.52897 ) = 0
hence value of p0.1 > 0,here we reject Ho
ANSWERS
---------------
null, Ho:p=0.53
alternate, H1: p!=0.53
test statistic: -10.529
critical value: -1.64 , 1.64
decision: reject Ho
p-value: 0
no evidence to claim that the acctual value of percenntage will be 53%

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