For questions 11-15, answer the question and show all intermediate values for full credit. For independent sample t-tests: mean values for each sample, the variances for each sample, estimated standard error of the difference in means, the t-ratio, degrees of freedom, the t- critical value, and your decision to reject or retain the null. For dependent sample t-tests: mean values for each sample, standard deviation for the difference between groups, standard error of the difference between means, the t-ratio, degrees of freedom, the t-critical value, and your decision to reject or retain the null. For proportions: sample proportions, combined proportions, standard error of the difference, 2-score, critical z-score, and your decision to reject or retain the null. Clearly label all values and round them to 2 decimal places (e.g., 2.57 instead of 2.5702 or 2). Do not round critical tor z values from your tables. 11. Dating app researchers want to determine the effects of the first profile picture. In a sample of 25 users with headshots as their profile picture, they find an average response rate of 30%. In a sample of 25 users with group shots as their profile picture, they find an average response rate of 17%. Test the null hypothesis that headshots and group shoots receive equal response rates (alpha-0.05)