A survey was conducted of new students at State U. Students were asked to name w

Question

A survey was conducted of new students at State U. Students were asked to name which of three factors was most important in their decision to attend State U: Tuition, Location or Reputation. Group 1 is first-year students, Group 2 is transfers, and Group 3 is MBAs. Chi-square results are below.

Chi-Square Test: Tuition, Location, Reputation

Expected counts are printed below observed counts
Chi-Square contributions are printed below expected counts

       Tuition Location Reputation Total
    1       50        40          32    122
         42.70     38.95       40.35
         1.248     0.029       1.729

    2       16        23          20     59
         20.65     18.83       19.52
         1.047     0.921       0.012

    3       25        20          34     79
         27.65     25.22       26.13
         0.254     1.080       2.370

Total       91        83          86    260

Chi-Sq = 8.690, DF = 4, P-Value = 0.069

1. What should we conclude based on this analysis?

Question options:

We should fail to reject H0 at the 5% significance level, and reject H0 at the 10% significance level.

We should fail to reject H0 both at the 5% significance level and at the 10% significance level.

We should reject H0 at the 5% significance level, and fail to reject H0 at the 10% significance level.

We should reject H0 both at the 5% significance level and at the 10% significance level.

None of the above answers is correct.

2. In this data set, 122 (46.9%) of the 260 students surveyed were first-year students. If the null hypothesis is true, what percentage of students who said that Tuition was the most important factor to them should be first-year students? Use one decimal place.

3. A chi-square test was used to test the null hypothesis that there is an association between two categorical variables.

Question options:

A. The null hypothesis should be that there is no association between the variables.

B. A chi-square test does not deal with categorical variables.

C. A chi-square test deals with more than 2 variables.

A)

We should fail to reject H0 at the 5% significance level, and reject H0 at the 10% significance level.

B)

We should fail to reject H0 both at the 5% significance level and at the 10% significance level.

C)

We should reject H0 at the 5% significance level, and fail to reject H0 at the 10% significance level.

D)

We should reject H0 both at the 5% significance level and at the 10% significance level.

E)

None of the above answers is correct.

2. In this data set, 122 (46.9%) of the 260 students surveyed were first-year students. If the null hypothesis is true, what percentage of students who said that Tuition was the most important factor to them should be first-year students? Use one decimal place.

3. A chi-square test was used to test the null hypothesis that there is an association between two categorical variables.

Question options:

A. The null hypothesis should be that there is no association between the variables.

B. A chi-square test does not deal with categorical variables.

C. A chi-square test deals with more than 2 variables.

D. The alternative hypothesis must be tested with a test.

Explanation / Answer

A survey was conducted of new students at State U. Students were asked to name which of three factors was most important in their decision to attend State U: Tuition, Location or Reputation. Group 1 is first-year students, Group 2 is transfers, and Group 3 is MBAs. Chi-square results are below.

Chi-Square Test: Tuition, Location, Reputation

Expected counts are printed below observed counts

Chi-Square contributions are printed below expected counts

       Tuition Location Reputation Total

    1       50        40          32    122

         42.70     38.95       40.35

         1.248     0.029       1.729

    2       16        23          20     59

         20.65     18.83       19.52

         1.047     0.921       0.012

    3       25        20          34     79

         27.65     25.22       26.13

         0.254     1.080       2.370

Total       91        83          86    260

Chi-Sq = 8.690, DF = 4, P-Value = 0.069

1. What should we conclude based on this analysis?

Question options:

            

A) We should fail to reject H0 at the 5% significance level, and reject H0 at the 10% significance level.

            

B) We should fail to reject H0 both at the 5% significance level and at the 10% significance level.

            

C) We should reject H0 at the 5% significance level, and fail to reject H0 at the 10% significance level.

            

D) We should reject H0 both at the 5% significance level and at the 10% significance level.

            

E) None of the above answers is correct.

2. In this data set, 122 (46.9%) of the 260 students surveyed were first-year students. If the null hypothesis is true, what percentage of students who said that Tuition was the most important factor to them should be first-year students? Use one decimal place.

54.9%     (50/91)

3. A chi-square test was used to test the null hypothesis that there is an association between two categorical variables.

Question options:

            

A. The null hypothesis should be that there is no association between the variables.

            

B. A chi-square test does not deal with categorical variables.

            

C. A chi-square test deals with more than 2 variables.

            

D. The alternative hypothesis must be tested with a q1-1.png test.

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