The margin of error is 0.97849
we are given
mean=235
so,
standard deviation =7.5
so,
we know that
ME=2*standard error
and
If confidence level is 95%, then we can multiply by 1.96
so, we can multiply by 2 to get ME
now, we can use marginal error formula
now, we can plug values
and we get
Answer: a) -0.2252, b) 0.8219
Step-by-step explanation:
Since we have given that
Sample size n = 100
Probability that candies are blue = p= 0.26
Probability that company claims that it is blue candy = P = 0.27
So, Q = 1-P= 1-0.27 = 0.73
So, Null hypothesis :
Alternate hypothesis :
So, the test statistic would be
Since α = 0.05
So, critical value of z = 1.96
p-value = P(Z>Z(calculated)
Using the excel function , we get that
Hence, a) -0.2252, b) 0.8219