Sample Hypothesis Testing Paper
The wage gap between men and women has always been a controversial issue. As a matter of fact, in 1942 the National War Labor Board encouraged employers to offer women salaries that were comparable to those of men. However, their request was denied. In the beginning of the 1960s decade, job postings were separated by gender and pay scale. At this time in history, women made approximately 59-64 cents less than men per dollar earned. This led to the passage of the Equal Pay Act in 1963 which stated that men and women performing the exact same job responsibilities had to be offered comparable pay. However, today’s research still shows that women are still receiving less pay than men in today’s workforce. In this paper, Learning Team B will conduct a hypothesis to determine if there is a difference between the average wage of men and women. This paper will include Team B’s hypothesis, results of the hypothesis test, and an explanation of our findings.
Hypothesis
A statistical hypothesis may be defined as the value of the population parameter. The two possible outcomes are either a null hypothesis or a statistical hypothesis. The null hypothesis is what the researchers usually wish to reject. The alternative hypothesis is what the researchers hope to have enough proof to sustain.
Today’s woman tends to be different than the women that lived in the 50’s and 60’s. It is has become normal in today’s society for women to hold titles like C.E.O., Vice President, Governor, etc. When women first started hitting the workforce, their salaries were much lower than men’s salaries. Today, people often wonder if that is still the case. This week’s research will help Learn Team B answer that question. The team has determined that the hypothesis will state that there is indeed a difference between the salary a male earns and the salary of a female.
The alternative hypothesis for Team B states that the average salary of a mean is higher than that of a woman. The team will perform a two-tailed test to determine whether or not there is in fact a difference between a male’s and a female’s salary. The mean of a male’s salary is $36,492.92 therefore; Team B has determined that the numerical hypothesis is: (μ≠36,492.92).
Team B conducted an experiment to test the hypothesis that average wages between men and women are unequal. Team B performed a two-tailed two-sample hypothesis test to test the formulated hypothesis: H˳: µ₁ µ₂ and H₁: µ₁ µ₂. In calculating the t-statistic Team B assumed the population variance is unknown and unequal as this is the safest approach (Doane & Seward, 2007). Team be also assumed a level of significance of α = 0.05 (.025 in each tail). Team B calculated the critical value and test-statistic using the Excel Data Analysis tool. Team B determined the critical value is 1.987. Team B determined the t-statistic