Respuesta :
Answer:
The percentage of blue candies is equal to 28%.
Step-by-step explanation:
Sample size = n = 1000
21% of them are blue
So, No. of blue candies = [tex]21\% \times 100 =\frac{21}{100} \times 100=21[/tex]
Claim : The percentage of blue candies is equal to 28%.
[tex]H_0:\mu = 0.28\\H_a:\mu \neq 0.28[/tex]
We will use one sample proportion test
[tex]\widehat{p}=\frac{x}{n}[/tex]
[tex]\widehat{p}=\frac{21}{100}[/tex]
[tex]\widehat{p}=0.21[/tex]
Formula of test statistic =[tex]\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
=[tex]\frac{0.21-0.28}{\sqrt{\frac{0.28(1-0.28)}{100}}}[/tex]
=−1.55
Now refer the p value from the z table
p value =0.0606
α =0.05
So, p value > α
So, we failed to reject null hypothesis
So, the percentage of blue candies is equal to 28%.
