A friend of yours who is writing a psychology paper is interested in finding out whether women have a different preference to dogs over cats than men. In order to do this, she conducted a survey with 49 men and 56 women participants. The results of the survey are listed below:
Unfortunately, she never had a passion for statistics and no longer remembers any of it that she studied a while back. So she asks you to help her conduct a hypothesis test on the above data. You have decided to use a chi-square test of two proportions with:
H0: there is no difference in preference over dogs and cats between women and men,
H1: there is a difference in preference over dogs and cats between women and men.
a) Calculate the estimate of the overall proportion (p) of the population that prefer dogs over cats that is to be used in calculating the test statistic. Give your answer as a decimal to 2 decimal places
p =
b) Calculate the chi-square test statistic (χ2). Give your answer to 3 decimal places.
χ2 =