B-D? (e) Write the claim mathomatically and identify Ho and H, (b) Find the riti

Question

B-D? (e) Write the claim mathomatically and identify Ho and H, (b) Find the ritical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis An environmental agency recent y dai ed more than 29% o consume sample of 1050 consumers, you find 38% have stopped buying the product. At -0.03 do you have enough evidence to support the dam? have stopped buying a certain product because of er con ems. In a random men M (a) Which of the following correctly states Ho and H,? r OA. Ho: p0.29 H:ps0.29 O F. Ho: p20.29 H: p0.29 O D. Ho:p 0.29 Ha: p>0.29 od (b) What is (are) the oritical value(e) zo? (Use a comma to separate answers as needed. Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer

Explanation / Answer

Given that,
possibile chances (x)=399
sample size(n)=1050
success rate ( p )= x/n = 0.38
success probability,( po )=0.29
failure probability,( qo) = 0.71
null, Ho:p<=0.29  
alternate, H1: p>0.29
level of significance, = 0.03
from standard normal table,right tailed z /2 =1.88
since our test is right-tailed
reject Ho, if zo > 1.88
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.38-0.29/(sqrt(0.2059)/1050)
zo =6.427
| zo | =6.427
critical value
the value of |z | at los 0.03% is 1.88
we got |zo| =6.427 & | z | =1.88
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: right tail - Ha : ( p > 6.42701 ) = 0
hence value of p0.03 > 0,here we reject Ho
ANSWERS
---------------
null, Ho:p<=0.29
alternate, H1: p>0.29
test statistic: 6.43
critical value: 1.88
decision: reject Ho
p-value: 0

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