I need help really bad please

Question

1.We want to see if Taiwanese women with unpaid credit card debt have similar card balances as Taiwanese men with unpaid credit card debt. In a matched pair study of credit card debt, 181 women were paired with 181 men with the same education level, the same marital status,and the same age. Our null hypothesis is that the average debts are the same: . We let  for each matched pair. We find . and . (in Taiwanese dollars).

The degrees of freedom is Blank

The value of the test statistic TS =  is  

2.Suppose our alternative hypothesis is . Find the P-value and use it to decide whether there is evidence at level of significance 0.05 that women with unpaid credit card debt have a different level of debt than men (of the same education level, marital status, and age) with unpaid credit card debt.Clearly explain how you decided.

A or B

A.There is evidence at level of significance 0.05 that women have a different level of debt than men

B. There is not evidence at level of significance 0.05 that women have a different level of debt than men

Rationale:

3.Suppose our alternative hypothesis is . Find the P-value and use it to decide whether there is evidence at level of significance 0.05 that women with unpaid credit card debt have a lower level of debt than men (of the same education level, marital status, and age) with unpaid credit card debt. Clearly explain how you decided.

A or B

A. There is evidence at level of significance 0.05 that women have a lower level of debt than men

 B. There is not evidence at level of significance 0.05 that women have a lower level of debt than men}

Rationale:

Answer 1

H_o: µ_w = µ_m

H_A: µ_w ≠ µ_m

We will use the 2-sample t-test for equal means.

t = d-bar/(s_d/√n) = 10992/(39341/√362) = 5.31601

DF = 181 + 181 - 2 = 360 (assume equal variances exist)

To find the p-value, you will need to use a graphing calculator with the 2-sample test for two means feature. The p-value will be less than 0.00001, which is less than 0.05 from the level of significance. Therefore, we can reject the null hypothesis, which means there is sufficient evidence that women have different levels of debt than men.

H_o: µ_w = µ_m

H_A: µ_w > µ_m

You will have the same answers from above for the one-sided test. In this case, you have sufficient evidence that women have different levels of debt than men by rejecting the null hypothesis.