Question

In: Statistics and Probability

For each of the following problems, define the appropriate parameter(s) and state the null and alternative...

For each of the following problems, define the appropriate parameter(s) and state the null and alternative hypotheses.
1. Is the proportion of men who vote greater than the proportion of women who vote in the United States?
2. A car dealership announces that the mean time for an oil change is less than 15 minutes.
3. A researcher wants to test if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0.75.
4. A researcher wants to see if there is evidence that the mean time spent studying per week is different between first-year students and upper-class students.

My responses so far...?

1. Ha: Pm > Pw - The proportion of men voters is greater than the proportion of female voters in the alternative hypothesis.
Ho: Pm = Pw - The proportion of men voters is equal to the proportion of female votes in the null hypothesis.

2. Ha: Mu < 15 minutes
Ho: Mu = 15 minutes

3. Ha: Pc > 0.75 - The proportion of citizens who can name the capital city of Canada is greater than 0.75 in the alternative hypothesis
Ho: Pc = 0.75 - The proportion of citizens who can name the capital city of Canada is equal to 0.75 in the null hypothesis.

4. I'm really stuck on this one!

Solutions

Expert Solution

Solution-1:

parameter is population prportion who vote denoted by p

1. Is the proportion of men who vote greater than the proportion of women who vote in the United States?

Null hypothesis,Ho:p1=p2

p1= proportion of men who vote

p2= proportion of women who vote

Alternative hypothesis,Ha:p1>p2

Right tail test for two proportions

Solution-2:

2. A car dealership announces that the mean time for an oil change is less than 15 minutes.

parameter is population mean time for an oil change denoted by p

Ho:mu=15

Ha:mu<15

left tail test for single mean

3. A researcher wants to test if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0.75.

parameter is population proprtion of US citizens who can name the capital city of Canada

Ho:p=0.75

Ha:p>0.75

Right tail test for proportion

4. A researcher wants to see if there is evidence that the mean time spent studying per week is different between first-year students and upper-class students.

parameter is mean time spent studying per week denoted by mu

Ho:

Ha:

where mu1= mean time spent studying per week for  first-year students

mu2= mean time spent studying per week for   upper-class students.

Two tail test for difference in means.

orchestra answered 1 year ago
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