You know that contrary to intuition, couples in arranged marriages report comparable levels of happiness and lower levels of divorce than couples that married for love. You are curious whether this process could be the result of cognitive dissonance. So, you recruit 5 newly wed couples (who married for love) to be part of your study. Then, you recruit 5 additional men and 5 additional women who you randomly pair into arranged marriages. So, you have a total of 10 couples, 5 married for love, and 5 in arranged marriages. A week in, you ask the couple to rate their happiness
Determine the appropriate t-test, and conduct a two-tailed test at alpha=0.05 to determine which group of couples is happiest a week into the marriage.
MArried for love: 10,10,9,8,8
Arranged MArriages: 3,5,4,2,6
A) What type of t-test should you use?
B) State your hypotheses.
C) Find the total df and criical value.
D) Conduct your t-test.e0 Calculate a 95% confidence interval for your result.
F) Calulate the omega-squared effect size, and interpret it in one sentence.
G) Do you reject or retain the null? Report your results in one sentence in APA styple.