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1

Statistics

Studentโs Name

Institution Affiliation

Course Name and Number

Instructorโs Name

Date

2

Statistics

Question 1

According to the given scenario, the research question is: is there a difference between

male and female doctoral students in regard to whether they are accepted or not into the doctoral

program of the same university where they did their undergraduate work? Therefore, we will

formulate our hypothesis as follows:

1. H0: There is no difference between gender of the doctoral student and their acceptance to

a doctoral program of the same university where they did their undergraduate work

(independent).

2. H1: There is a difference between gender of the doctoral student and their acceptance to a

doctoral program of the same university where they did their undergraduate work

(dependent).

We will use significance level of ๐ผ = 0.05, hence we would reject the null hypothesis if the

๐ โ ๐ฃ๐๐๐ข๐ โค 0.05. The given results show a chi-square test statistic of ๐ 2 = 0.39782 and a pvalue of 0.528217. Since the ๐ โ ๐ฃ๐๐๐ข๐ = 0.528217 โฅ 0.05, we fail to reject the null

hypothesis and conclude that there is no difference between gender of the doctoral student and

their acceptance to a doctoral program of the same university where they did their undergra...