Respuesta :
Answer:
Z_c = 1.6
Step-by-step explanation:
Solution:-
- The Z-critical value for any Confidence Interval (CI) corresponds to the significance level α. The significance level is defined as:
α = 1 - CI
α = 1 - 0.89
α = 0.11
- The Z-critical occurs at half of the significance value for "Two Tailed" tests.
α/2 = 0.11/2 = 0.055
- Then we use the standard normal distribution table or statistics tool. And compute:
Z_c = Z_a/2 = Z_0.055
Z_0.055 = invNorm ( 0.055 ) = 1.6
Hence, Z_c = 1.6
Answer:
The critical value [tex]z_c=1.6[/tex]
Step-by-step explanation:
Given information:
Confidence level=0.89
Confidence interval ([tex]c[/tex]) is a type of estimate computed from the observed data.
Significance level,
[tex]\alpha=1-c[/tex]
[tex]\alpha=1-0.89=0.11[/tex]
[tex]\frac{\alpha}{2}=\frac{0.11}{2}=0.055[/tex]
By normal distribution table,
[tex]z_c=z_{\frac{\alpha}{2}=z_0.055=1.6[/tex]
[tex]z_c=1.6[/tex]
Hence, the critical value [tex]z_c=1.6[/tex]
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