Significant difference in the proportion of people


Q1. A survey was conducted in five countries.The percentages of respondents who said that they eat out once a week or more as follows:

Germany 10%
France 12%
United Kingdom 28%
Greece 39%
United States 57%

Suppose that the survey was based on 1,000 respondents in each country.

(a) At the 0.05 level of significance, determine whether there is a significant difference in the proportion of people who eat out at least once a week in the various countries.

(b) Find the P-value in(a)and interpret its meaning.

(c) If appropriate,use the Marascuilo procedure and alpha = 0.05 to determine which countries are different. Discuss your results.

Q2. Fitting a straight line to a set of data yields the following prediction line: Ybar i=2+5xi

(a) Interpret the meaning of the Y interpret,b0.
(b) Interpret the meaning of the slope,b1.
(c) Predict the mean value of Y for X=3.

Q3. If the values of X in problem 13.1 range from 2 to 25,should you use this model to predict the mean value of Y when X equals.

(a) 3?
(b) -3?
(c) 0?
(d) 24?

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