Question

Q2 For each of the following z-test statistics, compute the p-value assuming that the hypothesis test is a one-tailed test: a. z =-1.45 b. z = 2.31 Q3 Provide the relevant critical value(s) for each of the following circumstances: a. Ho: u> 13, n =15, o = 10.3, a = 0.01 b. HA: H=21, n=20, s =35.40, a =0.02

Answer 1

Attached is the R code for Q2

# p- value for a one tailed test
# (a)This is a left tailed test

p_value <- pnorm(-1.45, mean = 0, sd = 1, lower.tail = TRUE)
print(p_value)

# (b) This is a right tailed test
p_value1 <- pnorm(2.31, mean = 0, sd = 1, lower.tail = FALSE)
print(p_value1)

Answers

(a) p-value =  0.07352926

(b)p-value =  0.01044408

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Q(3) (a)

Q3 (a) Critical value for a Right tailed test
critical_value <- qnorm(0.01, mean = 0, sd = 1, lower.tail = FALSE)

Answer Critical Value = 2.326348

Q3(b) # Q3(b) Critical_value for a two tailed test . We have 2 critical values
c1 <- qt(0.5*0.01, 20-1, lower.tail = TRUE)
c2 <- qt(0.5*0.01, 20-1, lower.tail = FALSE)

Critical Value = -2.860935

Critical Value = 2.860935