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Question 1 (Mandatory) (0.25 points)

 

When using a chi-square test of independence what percent of the cells in the contingency table must have expected frequencies greater than 5 ?

Question 1 options:

at least 60%

at least 70%

at least 50%

at least 80%

Question 2 (Mandatory) (3 points)

 

Question 2 options:

A researcher wants to know whether gender and education level are dependent.  A random sample of 395 people were surveyed and each person was asked to report their gender and the highest education level they obtained. The data that resulted from the survey is summarized in the following table.  Use a 0.05 significance level to test if these two variables are dependent. 

Table Description automatically generated

Ho: Gender and Education are

HA: Gender and Education are

p-value =

Decision =

Question 3 (Mandatory) (0.5 points)

 

Write a summary statement for the hypothesis test above.

Question 3 options:

Question 4 (Mandatory) (0.25 points)

 

Which of the following is NOT a requirement to satisfy the conditions for ANOVA?

Question 4 options:

Each group represents a simple random sample from its respective population.

The population are normally distributed.

All samples are dependent of one another.

The population have the same variance.

Question 5 (Mandatory) (1 point)

 

A psychologist wants to know if technology use affects our happiness.  They randomly select 150 individuals and measure their happiness (0-100) and classify their technology use into one of three categories (low, medium, and high).  Use the data  Happiness and Tech Survey   in StatCrunch to test if the mean happiness scores of the 3 technology groups are different.  (Let α = 0.10)

What are the hypothesis statements for this situation?

Question 5 options:

H subscript o colon space mu subscript L equals space mu subscript M space equals space mu subscript H H subscript A colon space a t space l e a s t space 1 space m e a n space i s space d i f f e r e n t

H subscript o colon space p subscript L equals space p subscript M space equals space p subscript H H subscript A colon space a t space l e a s t space 1 space p r o p o r t i o n space i s space d i f f e r e n t

H subscript o colon space H a p p i n e s s space a n d space T e c h n o log y space a r e space i n d e p e n d e n t H subscript A colon space H a p p i n e s s space a n d space T e c h n o log y space a r e space d e p e n d e n t

Question 6 (Mandatory) (1 point)

 

Question 6 options:

A psychologist wants to know if technology use affects our happiness.  They randomly select 150 individuals and measure their happiness (0-100) and classify their technology use into one of three categories (low, medium, and high).  Use the data  Happiness and Tech Survey  in StatCrunch to test if the mean happiness scores of the 3 technology groups are different.  (Let α = 0.10)

p-value =

Decision: 

Question 7 (Mandatory) (1 point)

 

Which summary statement best reflects the findings of the hypothesis test above. 

Question 7 options:

The sample data suggests that happiness and technology use are dependent. 

The sample data suggests that the proportion of happiness is the same for all technology groups.

The sample data suggests that the mean happiness scores of the the 3 technology groups are not different. 

The sample data suggests that the mean happiness scores of the the 3 technology groups are different. 

Question 8 (Mandatory) (1 point)

 

Is the mean duration time (minutes) for a feature length movies the same for different genres?  The StatCrunch output was created using a data set from Imdb.com.  It includes a random sample of 1000 movies that were either a drama, comedy, or a horror film from 1915 to the present. Let α = 0.05

Table Description automatically generated

In the space provided below state your decision: Reject Ho or Retain Ho

Also, write a summary statement for the hypothesis test.