10.1-10.2 Assessment

A survey by the National Institutes of Health asked a random sample of young adults, (aged 19 to 25 years), “Where do you live now? That is, where do you stay most often?” Here is the full table (omitting a few who refused to answer and one who reported being homeless). Based on the data collected, is there evidence of a relationship between gender and where young adults are currently living? Use a significance level of 0.05.

Which of the following is the correct null hypothesis?

• Gender and where young adults live are independent

• Gender and where young adults live are not independent

• Gender and where young adults are uniformly distributed

• Gender and where young adults live are not uniformly distributed

A survey by the National Institutes of Health asked a random sample of young adults, (aged 19 to 25 years), “Where do you live now? That is, where do you stay most often?” Here is the full table (omitting a few who refused to answer and one who reported being homeless). Based on the data collected, is there evidence of a relationship between gender and where young adults are currently living? Use a significance level of 0.05.

Which of the following is the correct alternative hypothesis?

• Gender and where young adults live are independent

• Gender and where young adults live are not independent

• Gender and where young adults are uniformly distributed

• Gender and where young adults live are not uniformly distributed

A survey by the National Institutes of Health asked a random sample of young adults, (aged 19 to 25 years), “Where do you live now? That is, where do you stay most often?” Here is the full table (omitting a few who refused to answer and one who reported being homeless). Based on the data collected, is there evidence of a relationship between gender and where young adults are currently living? Use a significance level of 0.05.

Which of the following is the correct  $\chi^2$  statistic?

• 10.812

• 12.382

• 9.291

• 11.038

A survey by the National Institutes of Health asked a random sample of young adults, (aged 19 to 25 years), “Where do you live now? That is, where do you stay most often?” Here is the full table (omitting a few who refused to answer and one who reported being homeless). Based on the data collected, is there evidence of a relationship between gender and where young adults are currently living? Use a significance level of 0.05.

Which of the following is the correct p-value?

• 0.0672

• 0.003

• 0.0115

• 0.0829

A survey by the National Institutes of Health asked a random sample of young adults, (aged 19 to 25 years), “Where do you live now? That is, where do you stay most often?” Here is the full table (omitting a few who refused to answer and one who reported being homeless). Based on the data collected, is there evidence of a relationship between gender and where young adults are currently living? Use a significance level of 0.05.

Which of the following is the correct decision?

• Since my p-value is less than alpha, I reject Ho

• Since my p-value is less than alpha, I fail to reject Ho

• Since my p-value is greater than alpha I reject Ho

• Since my p-value is greater than alpha I fail to reject Ho

A survey by the National Institutes of Health asked a random sample of young adults, (aged 19 to 25 years), “Where do you live now? That is, where do you stay most often?” Here is the full table (omitting a few who refused to answer and one who reported being homeless). Based on the data collected, is there evidence of a relationship between gender and where young adults are currently living? Use a significance level of 0.05.

Which of the following is the correct conclusion?

• There is evidence that gender and where young adults live are independent

• There is evidence that gender and where young adults live are not independent

• There is evidence that gender and where young adults live are uniformly distributed

• There is evidence that gender and where young adults live are not uniformly distributed

Are the favorite colors of students uniformly distributed in Saint Cloud High School? A statistics student wanted to answer this question for his end of the year project in AP Stats. To answer the question, the student randomly sampled students from SCHS and asked them their favorite color. The results are provided in the table below. Based on the data collected, is there evidence that favorite color of SCHS students is not uniformly distributed? Use a significance level of 0.01.

Which of the following is the correct null hypothesis?

• Students and favorite color are independent

• Students and favorite color are not independent

• Favorite color of SCHS students is uniformly distributed

• Favorite color of SCHS students is not uniformly distributed

Are the favorite colors of students uniformly distributed in Saint Cloud High School? A statistics student wanted to answer this question for his end of the year project in AP Stats. To answer the question, the student randomly sampled students from SCHS and asked them their favorite color. The results are provided in the table below. Based on the data collected, is there evidence that favorite color of SCHS students is not uniformly distributed? Use a significance level of 0.01.

Which of the following is the correct alternative hypothesis?

• Students and favorite color are independent

• Students and favorite color are not independent

• Favorite color of SCHS students is uniformly distributed

• Favorite color of SCHS students is not uniformly distributed

Are the favorite colors of students uniformly distributed in Saint Cloud High School? A statistics student wanted to answer this question for his end of the year project in AP Stats. To answer the question, the student randomly sampled students from SCHS and asked them their favorite color. The results are provided in the table below. Based on the data collected, is there evidence that favorite color of SCHS students is not uniformly distributed? Use a significance level of 0.01.

Which of the following is the correct  $\chi^2$  value?

• 7.2195

• 8.2938

• 11.9837

• 12.1162

Are the favorite colors of students uniformly distributed in Saint Cloud High School? A statistics student wanted to answer this question for his end of the year project in AP Stats. To answer the question, the student randomly sampled students from SCHS and asked them their favorite color. The results are provided in the table below. Based on the data collected, is there evidence that favorite color of SCHS students is not uniformly distributed? Use a significance level of 0.01.

Which of the following is the correct p-value?

• 0.002

• 0.019

• 0.229

• 0.406