Let's change our scenario a little. Suppose that a scientist wants to construct a 95% confidence interval for the difference in population proportions (pfemales - pmales). She randomly samples 219 people and asks them if they prefer Diet Coke to regular Coke. She also records if they are a male or a female. Use the information in the table below to correctly fill in the blanks for the construction of the confidence interval. malesfemalestotalsample size112107219number of successes5673129sample proportion0.500.680.59 Notes:The first blank is the point estimate. Pay close attention to the question above for the proper way to subtract. Report the first value to two decimal places.The blank immediately after the ± sign is the critical value. Report this value to two decimal places.Round the final blank to four decimal places._________±______________* __________

Given : n1 = 112 x1 = 56 n2 = 107 x2 = 73Solution : confidence level,c=0.95 Significance level, α =1-0.95 = 0.05 Sample proportion p̂1 = x1/n1 = 56/112 = 0.5 p̂2 = x2/n2 = 73/107 = 0.68 critical value critical value at α = 0.05 is Zα/2 = 1.96 ....from the standard normal distribution table 95% confidence interval =( 0.5-0.68 ) ± 1.96 x √( 0.5 (1-0.5)/112 + 0.68(1-0.68)/107 ) = -0.18 ± 0.128013 = -0.18 ± 1.96 * 0.0670

Answered: Let's change our scenario a little.…

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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Question

Let's change our scenario a little. Suppose that a scientist wants to construct a 95% confidence interval for the difference in population proportions (p_females - p_males). She randomly samples 219 people and asks them if they prefer Diet Coke to regular Coke. She also records if they are a male or a female. Use the information in the table below to correctly fill in the blanks for the construction of the confidence interval.

	males	females	total
sample size	112	107	219
number of successes	56	73	129
sample proportion	0.50	0.68	0.59

Notes:

The first blank is the point estimate. Pay close attention to the question above for the proper way to subtract. Report the first value to two decimal places.
The blank immediately after the ± sign is the critical value. Report this value to two decimal places.
Round the final blank to four decimal places.

_________±______________* __________

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