State the appropriate null and alternative hypotheses. What is the null hypothes

Question

State the appropriate null and alternative hypotheses. What is the null hypothesis?

What is the alternative hypothesis?

p value?

state the appropriate conclusion.

The accompanying data shows the weekly purchases of printers at a particular electronic store. Using = 0.05, perform a chi-square test to determine if the number of printers sold per week follows a normal probability distribution. Note thatx-11-3 and s = 4.4 iObserved weekly purchases of printers 12 18 15 4 12 10 19 16 16 bability 12 17 10 10 13 20 17 17 rmal 10 16 13 18

Explanation / Answer

Given that,
population variance (^2) =19.36
sample size (n) = 45
sample variance (s^2)=19.2909
null, Ho: ^2 =19.36
alternate, H1 : ^2 !=19.36
level of significance, = 0.05
from standard normal table, two tailed ^2 /2 =60.481
since our test is two-tailed
reject Ho, if ^2 o < - OR if ^2 o > 60.481
we use test statistic chisquare ^2 =(n-1)*s^2/o^2
^2 cal=(45 - 1 ) * 19.2909 / 19.36 = 44*19.2909/19.36 = 43.843
| ^2 cal | =43.843
critical value
the value of |^2 | at los 0.05 with d.f (n-1)=44 is 60.481
we got | ^2| =43.843 & | ^2 | =60.481
make decision
hence value of | ^2 cal | < | ^2 | and here we do not reject Ho
^2 p_value =0.4783
ANSWERS
---------------
null, Ho: ^2 =19.36
alternate, H1 : ^2 !=19.36
test statistic: 43.843
critical value: -60.481 , 60.481
p-value:0.4783
decision: do not reject Ho

we do not have enough evidence to support the claim

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