What is the correct way to draw a conclusion regarding the above hypothesis test
ID: 3363822 • Letter: W
Question
What is the correct way to draw a conclusion regarding the above hypothesis test?
Suppose that we want to test the hypothesis that mothers with low socioeconomic status (SES) deliver babies whose birthweights are different than "normal". To test this hypothesis, a list of birthweights from 77 consecutive, full-term, live-born deliveries from the maternity ward of a hospital in a low-SES area is obtained. The mean birghweight is found to be 117 oz with a sample standard deviation of 20 oz. Suppose that we know from nationwide surveys based on millions of deliveries that the mean birthweight in the United States is 120 oz.At = .07, can it be concluded that the average birthweight from this hospital is different from the national average?
(a) Find the value of the test statistic for the above hypothesis. (b) Find the critical value. (c) Find the p-value (d)
What is the correct way to draw a conclusion regarding the above hypothesis test?
Explanation / Answer
Given that,
population mean(u)=120
sample mean, x =117
standard deviation, s =20
number (n)=77
null, Ho: =120
alternate, H1: !=120
level of significance, = 0.07
from standard normal table, two tailed t /2 =1.838
since our test is two-tailed
reject Ho, if to < -1.838 OR if to > 1.838
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =117-120/(20/sqrt(77))
to =-1.3162
| to | =1.3162
critical value
the value of |t | with n-1 = 76 d.f is 1.838
we got |to| =1.3162 & | t | =1.838
make decision
hence value of |to | < | t | and here we do not reject Ho
p-value :two tailed ( double the one tail ) - Ha : ( p != -1.3162 ) = 0.192
hence value of p0.07 < 0.192,here we do not reject Ho
ANSWERS
---------------
null, Ho: =120
alternate, H1: !=120
test statistic: -1.3162
critical value: -1.838 , 1.838
decision: do not reject Ho
p-value: 0.192
we dont have evidence that average birthweight from this hospital is different from the national average
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