Based on clinical typing results, the patients were # 2 divided into a progression group (n=11) or an improvement/stabilization group (n=67). The mean albumin level in the progression group was 36.62 g/L with a standard deviation of 6.60 g/L. The mean albumin level in the improvement/stabilization group was 41.27 g/L with a standard deviation of 4.55 g/L. Using a 0.05 significance level, you need to test the claim that patients in the progression group had significantly lower albumin levels than patients in the improvement/stabilization group. To do so, assume the population variances are equal.

u1=36.62. u2=41.27

s1=6.60. s2= 4.55

n1= 11. n2= 67

What is the null hypothesis?

What is the alternative hypothesis?

What is the value of the test statistic?

a. -1.58 b. -1.65 c.-2.25 d.-2.94

What is the p-value?

a. 0.9978 b. 0.9956 c. 0.05 d. 0.002

What is the conclusion?

a. Fail to reject H0 and conclude there is not sufficient evidence to support the claim that patients in the progression group have a lower mean albumin level than patients in the improvement/stabilization group.

b. Fail to reject H0 and conclude there is sufficient evidence to support the claim that patients in the progression group have a lower mean albumin level than patients in the improvement/stabilization group.