HW 7: Problem 12 s Problem Problem List Next Problem (1 point) Suppose that a sa
ID: 3364380 • Letter: H
Question
HW 7: Problem 12 s Problem Problem List Next Problem (1 point) Suppose that a sample has been drawn from a normal population to conduct the hypothesis blems H0: 2 = 23 Hi: 2 > 23 Assume that you know that the sample variance is 82-51, the sample size is n-23, and take and use it to determine each of the following = 007, Draw the sampling distribution, A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-oo, a) is expressed (-infty, a), an answer of the form (b, oo) is expressed (b, inty), and an answer of the form (-00, a) U (b, oo) is expressed (-inty. ajub, inty) B. The rejection region for the standardized test statistic C. The p-value is D. Your decision for the hypothesis test: O A. Do Not Reject H. B. Do Not Reject Ho C. Reject Ho D. Reject Hi Note: In order to get credit for this problem all answers must be correct.Explanation / Answer
12.
Given that,
population variance (^2) =23
sample size (n) = 23
sample variance (s^2)=51
null, Ho: ^2 =23
alternate, H1 : ^2 >23
level of significance, = 0.07
from standard normal table,right tailed ^2 /2 =32.453
since our test is right-tailed
we use test statistic chisquare ^2 =(n-1)*s^2/o^2
^2 cal=(23 - 1 ) * 51 / 23 = 22*51/23 = 48.783
| ^2 cal | =48.783
critical value
the value of |^2 | at los 0.07 with d.f (n-1)=22 is 32.453
we got | ^2| =48.783 & | ^2 | =32.453
make decision
hence value of | ^2 cal | > | ^2 | and here we reject Ho
^2 p_value =0.0009
ANSWERS
---------------
null, Ho: ^2 =23
alternate, H1 : ^2 >23
a.
test statistic: 48.783
b.
critical value: 32.453
c.
p-value:0.0009
d.
decision: reject Ho
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