Lower Bound = p – z* × SE Upper Bound = p+ z* × SE

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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I am looking for help on E and F. 

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In the data file you will find 1,000 entries with information about new mothers in North Carolina. For this problem we are going to build a confidence interval to estimate the proportion
of babies born in NC that are considered full term.
(a) Use a pivot table to find the number of full term babies in the data set.
Number of full term babies =
846
(b) There might be a few entries in the data that don't have the premie status recorded and must be removed from our forthcoming statistical analysis. Taking the NA's into account,
how many total babies are included in the sample, both full term and premie?
Number of babies =
998
(c) Now find the proportion of babies in the data set that are full term. This serves as a point estimate for the population of North Carolina mothers.
.8468
(use at least 4 decimal digits of accuracy)
(d) Recall that the standard error for a confidence interval on one proportion is given by
p(1-p)
V
SE =
Calculate the standard error for the proportion of babies that are full term.
.0123
(use at least 4 decimal digits of accuracy)
(e) We would like to build a 93% confidence interval for the proportion of full term babies in NC. To do so we first need to find the critical z-score associated with this confidence level:
critical z-score = norm.s.inv(
) =
%3D
(f) Now recall that the lower and upper bounds on the confidence interval are given by:
Lower Bound = p – z* × SE
Upper Bound = p+ z* × SE
Calculate the lower bound:
Calculate the upper bound:
Transcribed Image Text:In the data file you will find 1,000 entries with information about new mothers in North Carolina. For this problem we are going to build a confidence interval to estimate the proportion of babies born in NC that are considered full term. (a) Use a pivot table to find the number of full term babies in the data set. Number of full term babies = 846 (b) There might be a few entries in the data that don't have the premie status recorded and must be removed from our forthcoming statistical analysis. Taking the NA's into account, how many total babies are included in the sample, both full term and premie? Number of babies = 998 (c) Now find the proportion of babies in the data set that are full term. This serves as a point estimate for the population of North Carolina mothers. .8468 (use at least 4 decimal digits of accuracy) (d) Recall that the standard error for a confidence interval on one proportion is given by p(1-p) V SE = Calculate the standard error for the proportion of babies that are full term. .0123 (use at least 4 decimal digits of accuracy) (e) We would like to build a 93% confidence interval for the proportion of full term babies in NC. To do so we first need to find the critical z-score associated with this confidence level: critical z-score = norm.s.inv( ) = %3D (f) Now recall that the lower and upper bounds on the confidence interval are given by: Lower Bound = p – z* × SE Upper Bound = p+ z* × SE Calculate the lower bound: Calculate the upper bound:
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