Respuesta :
The value of [tex] \hat p [/tex] will be the same as the percentage of the 1500 respondents who like chocolate pie. And that percentage as per the data in the question is 12%. Therefore, [tex] \hat p [/tex]=0.12.
The value of [tex] \hat q [/tex] simply is [tex] \hat q=1-\hat p [/tex], therefore,[tex] \hat q=1-0.12=0.88 [/tex].
The sample size is 1500. Therefore, [tex] n=1500 [/tex]
The margin of error is given as [tex] \pm 3 [/tex]%. Therefore, [tex] E=0.03 [/tex].
The value of [tex] \alpha [/tex] is calculated as [tex] \alpha [/tex]=1-Confidence Level
[tex] \alpha=1-0.99=0.01 [/tex]
Answer:
0.01 is alpha level
Step-by-step explanation:
Given that a survey of a magazine of 1500 adults revealed that 12% chose chocolate pie.
i.e. p = proportion of people who like chocolate pie = 0.12
Margin of error = ±0.03
The value of q =1-\hat p , =1-0.12 = 0.88
The sample size n is given as 1500. Therefore, n=1500
The confidence level is given as 99%
Hence alpha = 1- confidence level
=1-0.99=0.01
Hence answer is 0.01
