We cannot conclude that at the significance level the proportion is greater than 10%.We fail to reject Null hypothesis
The null hypothesis in inferential statistics states that two possibilities are identical. The null hypothesis states that the observed difference is purely random. It is feasible to calculate the probability that the null hypothesis is correct using statistical testing.
A) State H_0 and H_a, (5 pts)
B) Test the hypothesis using the P-Value approach at a significance level of 4%: (15 pts)
a) H₀:p = 0.10
H₀ : p > 0.10
b) We fail to reject the Null hypothesis from the question, we are told that: Sample size n=100
No. with blistered x=11
a) Generally, the Hypothesis has given as
H₀ : p = = 0.10
H₀ : p > 0.10
b) Since p=0.10 ,Therefore
[tex]p'=\dfrac{11}{100}\\\\\\[/tex]
p' = 0.11
Test statistics
[tex]Z = \dfrac{p'-p}{\sqrt{p(1-p)}}[/tex]
[tex]Z=\dfrac{0.11-0.10}{\sqrt{0.10(0.90)/100}}[/tex]
Z = 1.33
From table P = 0.092 ,Therefore:-
P-value >0.04 significance level
Hence, We cannot conclude that at the significance level the proportion is greater than 10%. We fail to reject the Null hypothesis.
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