Question 10 : A random sample of 40 drivers in country X were asked if they favor the use of RON95 or RON97 fuels for their cars. Below are their responses, with R95' represents drivers that use RON95, and 'R97° represents drivers that use RON97. R95 R95 R97 R95 R97 R97 R95 R95 R97 R95 R97 R97 R95 R95 R95 R95 R97 R97 R95 R97 R95 R97 R97 R97 R95 R97 R95 R95 R95 R97 R95 R95 R95 R97 R97 R97 R97 R95 R95 R95 a. Based on the collected responses, can we claim that at most half of the drivers favor the use of RON95? Use a = 0.01. b.Find the value of the test statistic if at least 60% of the drivers in country X prefer not to use RON95 for their cars. c. Using the result in (ii), find the critical value and the level of significance if at least 60% of the drivers in country X prefer not to use RON95 for their cars.

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Question 10 :
A random sample of 40 drivers in country X were asked if they favor the use of RON95 or
RON97 fuels for their cars. Below are their responses, with 'R95’ represents drivers that use
RON95, and R97° represents drivers that use RON97.
R95
R95
R97 R95
R97 R97
R95 R95
R97
R95
R97
R97
R95
R95
R95
R95
R97
R97
R95
R97
R95
R97
R97
R97
R95
R97
R95
R95
R95
R97
R95 R95
R95
R97
R97 R97 R97 R95
R95
R95
a. Based on the collected responses, can we claim that at most half of the drivers favor the use
of RON95? Use a = 0.01.
b.Find the value of the test statistic if at least 60% of the drivers in country X prefer not to use
RON95 for their cars.
c. Using the result in (ii), find the critical value and the level of significance if at least 60% of
the drivers in country X prefer not to use RON95 for their cars.
Transcribed Image Text:Question 10 : A random sample of 40 drivers in country X were asked if they favor the use of RON95 or RON97 fuels for their cars. Below are their responses, with 'R95’ represents drivers that use RON95, and R97° represents drivers that use RON97. R95 R95 R97 R95 R97 R97 R95 R95 R97 R95 R97 R97 R95 R95 R95 R95 R97 R97 R95 R97 R95 R97 R97 R97 R95 R97 R95 R95 R95 R97 R95 R95 R95 R97 R97 R97 R97 R95 R95 R95 a. Based on the collected responses, can we claim that at most half of the drivers favor the use of RON95? Use a = 0.01. b.Find the value of the test statistic if at least 60% of the drivers in country X prefer not to use RON95 for their cars. c. Using the result in (ii), find the critical value and the level of significance if at least 60% of the drivers in country X prefer not to use RON95 for their cars.
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