bajohnson7478 bajohnson7478
  • 18-01-2020
  • Mathematics
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Find the critical value z Subscript alpha divided by 2 that corresponds to the given confidence level. 93​%

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ApusApus ApusApus
  • 18-01-2020

Answer:

[tex]z_{{\frac{\alpha}{2}}}=z_{0.035}=1.81[/tex]

Step-by-step explanation:

We are asked to compute [tex]z_{{\frac{\alpha}{2}}[/tex] that corresponds to confidence level of 93%.

[tex]93\%=\frac{93}{100}=0.93[/tex]

[tex]\alpha=1-0.93=0.07[/tex]

[tex]\frac{\alpha}{2}=\frac{0.07}{2}[/tex]

[tex]\frac{\alpha}{2}=0.035[/tex]

Now, we will use normal distribution table to find the z-score that corresponds to area of 0.035.

[tex]z_{0.035}=-1.81[/tex]

Therefore, the value of [tex]z_{{\frac{\alpha}{2}}[/tex] is [tex]1.81[/tex].

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