Answer:
The value of α is 0.05.
Step-by-step explanation:
A poll of 1000 adults was conducted to determine their favorite pie.
The poll result states that among the 1000 respondents, 14 % chose chocolate pie, and the margin of error was given as plus or minus 3 percentage points.
[tex]\hat p=\text{Sample Proportion of adults who chose chocolate pie} = 0.14\\\hat q=\text{Sample Proportion of adults who did not chose chocolate pie}\\=1-\hat p\\=0.86\\n=\text{Sample size}=1000\\E=\text{Margin of Error}=0.03\\p=\text{Population Proportion of adults who chose chocolate pie}[/tex]
The confidence level is 95%.
Determine the value of significance level, α as follows:
[tex]\text{Confidence Level}=(1-\alpha)\%\\\\95\%=(1-\alpha)\%\\\\0.95=(1-\alpha)\\\\\alpha=1-0.95\\\\\alpha=0.05[/tex]
Thus, the value of α is 0.05.
