Question

Obesity is a major stigma in our society. People who are obese face a great deal of prejudice and discrimination. For example, Roehling (1999) showed that obese people experience a lot of discrimination in the workplace (e.g., they are less likely to be hired and are more likely to receive lower wages than their peers). We know that people who are obese are stigmatized, but what about people who are somehow associated with an obese person? Neuberg et al. (1994) found that friends of homosexual men and lesbians suffer from "stigma by association". Perhaps the negative effects of the obesity stigma can also spread to other people. One study examined how the stigma of obesity can spread to a job applicant of average weight.

Study participants had to rate how qualified a particular job applicant was on a scale from 0 (not qualified) to 10 (very well qualified). Each job applicant was randomly assigned to sit by one woman. The researchers manipulated the following two variables: the weight of the woman and the relationship between the woman and the job applicant. The woman was obese, was of average weight, or was underweight. This woman was also portrayed as being the job applicant's girlfriend or a woman simply waiting to participate in a different study. Study participants observed the job applicant and, then, provided their rating of how qualified the job applicant was.

Using the stated setting information above, respond to the following prompts/questions:

a. List the name of each factor (i.e., Independent Variable) in the setting and indicate the number of levels for each factor.

b. Provide the name of the dependent variable.

c. Indicate what statistical test is most appropriate for the setting using statistical language.

d. Provide the Null and Alternative Hypotheses (using proper notation) Note: Provide ALL sets of Hypotheses

Answer 1

a. List the name of each factor (i.e., Independent Variable) in the setting and indicate the number of levels for each factor.
Independent Variable is the weight of the woman and the relationship between the woman and the job applicant.

Weight of the woman
- obese
- average weight
- underweight.

the relationship between the woman and the job applicant
- the job applicant's girlfriend
- a woman simply waiting to participate in a different study.

b. Provide the name of the dependent variable.
Rating of how qualified the job applicant was

c. Indicate what statistical test is most appropriate for the setting using statistical language.
We develop a regression equation and check if the beta coefficients of the independent variables are significant in predicting y.

d. Provide the Null and Alternative Hypotheses (using proper notation) Note: Provide ALL sets of Hypotheses

Hypothosis_1

Ho: Weight of the women is independent of the applicants rating
H1 : Weight of the women is not independent of the applicants rating

In this we will check if the beta coefficient of the weight of the women variable is equal to zero or not. If it equal to zero then null hypothesis is failed to be rejected.

Hypothosis_2

Ho: relationship of the women is independent of the applicants rating
H1 : relationship of the women is not independent of the applicants rating

In this we will check if the beta coefficient of the relationship of the women variable is equal to zero or not. If it equal to zero then null hypothesis is failed to be rejected.

Rating of how qualified the job applicant was

c. Indicate what statistical test is most appropriate for the setting using statistical language.
We develop a regression equation and check if the beta coefficients of the independent variables are significant in predicting y.

d. Provide the Null and Alternative Hypotheses (using proper notation) Note: Provide ALL sets of Hypotheses

Hypothosis_1

Ho: Weight of the women is independent of the applicants rating
H1 : Weight of the women is not independent of the applicants rating

In this we will check if the beta coefficient of the weight of the women variable is equal to zero or not. If it equal to zero then null hypothesis is failed to be rejected.

Hypothosis_2

Ho: relationship of the women is independent of the applicants rating
H1 : relationship of the women is not independent of the applicants rating

In this we will check if the beta coefficient of the relationship of the women variable is equal to zero or not. If it equal to zero then null hypothesis is failed to be rejected.