In a market survey it is found that among people using a particular product, 51 of 203 (25.12%) of people in cities and

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In A Market Survey It Is Found That Among People Using A Particular Product 51 Of 203 25 12 Of People In Cities And 1 (169.88 KiB) Viewed 29 times

In a market survey it is found that among people using a particular product, 51 of 203 (25.12%) of people in cities and 26 of 158 (16.46%) of country people used brand 'A'. Interest is in determining whether brand 'A' really is more popular in cities. Calculate the standard error of the difference between the two proportions. 4D b) Calculate a 95% confidence interval for the difference between the two proportions TT Country ). i.e. ( City The lower limit is: ADP The upper limit is: a/ HDP c) From your answers in (b) select the appropriate conclusion supported by your confidence interval: 1 We are 95% confident that the difference in sample proportions of use of brand A between the city and country lies between the limits found above; as zero is excluded from the interval there is evidence of a difference in the popularity of brand A. O We are 95% confident that the true difference in proportion of use of brand A between the city and country lies between the limits found above; as this interval is entirely above zero there is evidence that brand A is more popular in the city than in the country. O We are 95% confident that the true difference in proportion of use of brand A between the city and country lies between the limits found above; as zero is included in this interval there is no evidence of a difference in the popularity of brand A between the city and country. O We are 95% confident that the true difference in proportion of use of brand A between the city and country lies between the limits found above; as this interval is entirely below zero there is evidence that brand A is less popular in the city than in the country. We are 95% confident that the popularity of brand A in the city is exactly the same as its popularity in the country.