(A) In a chili cookoff, 66 people sample all of the chili and 30% vote to give the "Fire Hot Mouth Burner" the best chili inthe contest. Since we haven't sampled everyone at the entire cook off we have to use a confidence interval to estimatethe proportion of chili eating contest-goers that might choose this as the best chili of the contest.(1) P =(ii) n =(iii) np =(this is the number that voted for the "Fire Hot Mouth Burner")(iv) n(1 – p)(this is the number that didn't vote for the "Fire Hot Mouth Burner")(v) Since both of the previous answers are greater than or equal to 10 we can proceed with a normal model for theconfidence interval. We now need to get the critical z-score. We will use a 92% confidence level. In MS Excel we needto use the "=norm.s.inv()" command to determine the appropriate critical z-score.=norm.s.inv((vi) This gives a critical z-score ofz* =(vii) The standard error is:SE(viii) The margin of error is:MΟΕ(ix) Hence, we are 92% confident that the true proportion of people that will vote for "Fire Hot Mouth Burner" isbetweenand

Answered: (A) In a chili cookoff, 66 people…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(A) In a chili cookoff, 66 people sample all of the chili and 30% vote to give the "Fire Hot Mouth Burner" the best chili in
the contest. Since we haven't sampled everyone at the entire cook off we have to use a confidence interval to estimate
the proportion of chili eating contest-goers that might choose this as the best chili of the contest.
(1) P =
(ii) n =
(iii) np =
(this is the number that voted for the "Fire Hot Mouth Burner")
(iv) n(1 – p)
(this is the number that didn't vote for the "Fire Hot Mouth Burner")
(v) Since both of the previous answers are greater than or equal to 10 we can proceed with a normal model for the
confidence interval. We now need to get the critical z-score. We will use a 92% confidence level. In MS Excel we need
to use the "=norm.s.inv()" command to determine the appropriate critical z-score.
=norm.s.inv(
(vi) This gives a critical z-score of
z* =
(vii) The standard error is:
SE
(viii) The margin of error is:
MΟΕ
(ix) Hence, we are 92% confident that the true proportion of people that will vote for "Fire Hot Mouth Burner" is
between
and

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Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any specific subpart to be answered then please submit that subpart only or specify the subpart in your message.

The sample proportion $\hat{p}$ =0.3

Thus, the value of $\hat{p}$ is 0.3

ii. The sample size n is 66

Thus, the value of n is 66.

iii. The value of n $\hat{p}$ is given below;

$\begin{array}{rcl} n \hat{p} & = & 66 \times 0.3 \\ = & 19.8 \end{array}$

Thus, the value of n $\hat{p}$ is 19.8

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