In polls conducted in 2001, 2004, and 2010, respondents were asked whether they favor or oppose mandatory
Question:
In polls conducted in 2001, 2004, and 2010, respondents were asked whether they favor or oppose mandatory testing of students in public schools each year to determine how well the school is educating students. The following 3 3 table of counts was estimated from percentages reported at the poller's website.
Mandatory Testing? | ||||
---|---|---|---|---|
Year | Favor | Oppose | Don't Know/No Answer | Total |
2001 | 996 | 196 | 25 | 1,217 |
2004 | 727 | 254 | 42 | 1,023 |
2010 | 770 | 262 | 55 | 1,087 |
Total | 2,493 | 712 | 122 | 3,327 |
(a)
Determine row percentages. (Round your answers to one decimal place.)
Mandatory Testing? | |||
---|---|---|---|
Year | Favor | Oppose | Don't Know/No Answer |
2001 | % | % | % |
2004 | % | % | % |
2010 | % | % | % |
Use the row percentages to compare responses in the three different years.
There are no noticeably large differences in the responses for all three years.The responses in 2001 look considerably different from the responses in 2004 and 2010. The responses in 2004 look considerably different from the responses in 2001 and 2010.The responses in 2010 look considerably different from the responses in 2001 and 2004.All three years' responses look considerably different from one another.
(b)
Write null and alternative hypotheses for comparing opinions in the three different years.
H0: There is a strong relationship between the year and opinion on mandatory testing. Ha: There is a weak relationship between the year and opinion on mandatory testing.H0: Proportions of the population with each opinion on mandatory testing remained the same over the three years. Ha: Proportions of the population with each opinion on mandatory testing did not remain the same over the three years. H0: Proportions of the sample with each opinion on mandatory testing remained the same over the three years. Ha: Proportions of the sample with each opinion on mandatory testing did not remain the same over the three years.H0: Proportions of the population with each opinion on mandatory testing did not remain the same over the three years. Ha: Proportions of the population with each opinion on mandatory testing remained the same over the three years.H0: There is a weak relationship between the year and opinion on mandatory testing. Ha: There is a strong relationship between the year and opinion on mandatory testing.
(c)
Calculate the value of the chi-square statistic in this situation. (Round your answer to two decimal places.)
2 =
(d)
What is the value of degrees of freedom for the chi-square statistic?
df =
(e)
Determine the p-value in this situation. (Round your answer to three decimal places.)
p-value =
(f)
Is the result statistically significant? Explain how you know. (Use = 0.05.)
Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe