Twelve sets of identical twins were enrolled in a study to measure the effect of home environment on certain social attitudes. One twin in each set was randomly assigned to a foster environment or a home environment. The twin assigned to the foster environment went to live with a low income family on state welfare for a period of 1 year. At the end of the year, an attitudinal survey was administered. Their results follow. ID Foster Home 1 68 65 2 85 67 75 4 84 77 5 63 59 6 85 65 7 64 73 8 75 78 9 82 70 10 78 72 11 79 73 12 68 79 Perform a dependent samples t-test (paired t-test) to examine if the hypothesis that living in the foster environment leads to higher scores on the attitude survey. Use a 2.5% significance level. (a) State the null hypothesis and the alternate hypothesis. (b) Compute the value of the test statistic. (state your answer accurate to 2 decimal places) (c) State the Degrees of Freedom? (d) Look up the critical value to (state to 3dp) (e)Ho. There is evidence to indicate that living in the foster environment leads to higher scores on the attitudinal survey