Part (b) Which distribution should you use for this problem? (Enter your answer
ID: 2946802 • Letter: P
Question
Part (b) Which distribution should you use for this problem? (Enter your answer in the form z or ar where df is the degrees of freedom.) Explain your choice 0 The binomial distribution should be used because the two outcomes are "Bam-Bam" and 'Not Bam-Bam* The Student's t-distribution should be used because . which implies a small sample. The standard normal distribution should be used because we are interested in proportions. O The Student's t-distribution should be used because we do not know the standard deviation. Part (c) Calculate p (Round your answer to three decimal places.) Part (d Construct a 96% confidence interval for the population proportion of Bam-Bam snack pieces per bag. (Round your answers to three decimal places.) (i) State the confidence interval. () Sketch the graph (ii) Calculate the error bound.Explanation / Answer
We should use z distribution.
ANSWER:Z
Explain your choice
OPTION C
the standard normal distribution should be used because we are interested in proportions.
Solution
partc:
p^=sample proportion=x/n=7/67=0.104
Solution :partD:
alpha=1-0.96=0.04
alpha/2=0.04/2=0.02
Z crit=2.055
96% confidence interavl for population proportion is
p^-zsqrt(p^(1-p^)/n, p^+zsqrt(p^(1-p^)/n
0.104-2.055*sqrt(0.104*(1-0.104)/67,0.104+2.055*sqrt(0.104*(1-0.104)/67
0.027,0.181
0.027<p<0.181
state the confidence interval
(0.027,0.181)
sketch the graph
alpha/2=0.04/2=0.02
alpha/2=0.02
in the bottom two boxes
type
-2.055 2.055
Calculate error bound
2.055*sqrt(0.104*(1-0.104)/67
=0.077
ANSWER:0.077