Asked by Vayola Nicolas on Apr 25, 2024

verifed

Verified

A researcher calculates a mean from a sample of 19 people. For α = .05, if the researcher states the hypotheses as H0: µ = 200 and H1: µ < 200, which of the following is an appropriate critical value?

A) 0.688
B) 1.645
C) 1.734
D) 1.729

Critical Value

A point on the scale of a test statistic beyond which we reject the null hypothesis, often associated with the desired significance level of a test.

Alpha

A threshold value used in hypothesis testing that defines the probability of making a Type I error, or rejecting a true null hypothesis.

  • Learn the process of calculating and understanding critical values in the context of hypothesis tests.
verifed

Verified Answer

CS
Country Shine6 days ago
Final Answer :
C
Explanation :
Given that the sample size is 19 (which means degrees of freedom = 18) and the test is one-tailed with α = .05, the appropriate critical value from the t-distribution table for a one-tailed test with these parameters is approximately 1.734.