Question

A study has a random sample of 23 subjects. The test statistic for testing Ho: H=50 ist= 1.77. Find the approximate P-value for the alternative a. H: * 50, b. He: >50, and c. H : <50. a. Find the P-value for the alternative He:*50. P-value = (Round to three decimal places as needed.) b. Find the P-value for the alternative He: >50. P-value = (Round to three decimal places as needed.) c. Find the P-value for the alternative H,:<50. P-value = (Round to three decimal places as needed.)

Answer 1

t = 1.77

n =23

df = 23- 1 = 22

(a) p value for Ho: $\mu \neq$ 50

P value = TDIST (t statistics, df, tails) = TDIST (1.77, 22, 2) = 0.0906

(b)

p value for Ho: $\mu$ > 50

P value = TDIST (t statistics, df, tails) = TDIST (1.77, 22, 1) = 0.0453 = 0.045

(c)

p value for Ho: $\mu$ < 50

P value = TDIST (t statistics, df, tails) = TDIST (1.77, 22, 1) = 0.0453 = 0.045