Respuesta :
The critical value is used to compute the margin of error. (Margin of error = Critical value x Standard deviation of the statistic or Margin of error = Critical value x Standard error of the statistic).
If the statistic has normal sampling distribution, then the the critical value can be expressed as a t score or as a z score.
α = 1 - (confidence level / 100)
α = 1 - (93 / 100)=1-0.93=0.07
The critical probability is: pc= 1 - α/2 pc=1-0.035=0.965
The critical value is 1.81.
If the statistic has normal sampling distribution, then the the critical value can be expressed as a t score or as a z score.
α = 1 - (confidence level / 100)
α = 1 - (93 / 100)=1-0.93=0.07
The critical probability is: pc= 1 - α/2 pc=1-0.035=0.965
The critical value is 1.81.
Answer:
Critical value of
[tex]\rm Z_\frac {\alpha }{2} = 1.81[/tex]
Step-by-step explanation:
Calculation :
At 93% confidence level ,
[tex]\alpha = 1- \dfrac {93}{100}[/tex]
[tex]\alpha = 1 - 0.93[/tex]
[tex]\alpha = 0.07[/tex]
[tex]\dfrac {\alpha}{2} = 0.035[/tex]
[tex]\rm Z_\frac{\alpha}{2}= Z_0_._0_3_5=1.8119 \; (from \;Z \;table)[/tex]
[tex]\rm Z_\frac {\alpha }{2} = 1.81[/tex]
Therefore, critical value of
[tex]\rm Z_\frac {\alpha }{2} = 1.81[/tex]
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