Use the calculator displays to the right to make a decision to reject or fail to
ID: 3318579 • Letter: U
Question
Use the calculator displays to the right to make a decision to reject or fail to reject the null bypothesis at a significance level of Z-Test npt: Data est = 0.01. 70 4.75 68. :50 70 =-1.86080732 p 0.06277139 x-6875 n 50 75 Calculate Draw Choose the correct answer below Since the P-value is less than a,reject the null hypothesis Since the P-value is greater than fail to reject the null hypothesis. Since the P-value is less than , fail to reject the null hypothesis Since the P-value is greater than , reject the null hypothesis. O A. B. ° C. D.Explanation / Answer
Given that,
population mean(u)=70
standard deviation, =4.75
sample mean, x =68.75
number (n)=50
null, Ho: =70
alternate, H1: !=70
level of significance, = 0.01
from standard normal table, two tailed z /2 =2.576
since our test is two-tailed
reject Ho, if zo < -2.576 OR if zo > 2.576
we use test statistic (z) = x-u/(s.d/sqrt(n))
zo = 68.75-70/(4.75/sqrt(50)
zo = -1.8608
| zo | = 1.8608
critical value
the value of |z | at los 1% is 2.576
we got |zo| =1.8608 & | z | = 2.576
make decision
hence value of |zo | < | z | and here we do not reject Ho
p-value : two tailed ( double the one tail ) - ha : ( p != -1.8608 ) = 0.0628
hence value of p0.01 < 0.0628, here we do not reject Ho
ANSWERS
---------------
null, Ho: =70
alternate, H1: !=70
test statistic: -1.8608
critical value: -2.576 , 2.576
decision: do not reject Ho
p-value: 0.0628
option B. since p value is greater than alpha . failed to reject the null hypothesis
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