Problem 78E

A random sample of n = 25 observations was made on the time to failure of an electronic component and the temperature in the application environment in which the component was used.

(a) Given that r = 0.83, test the hypothesis that ρ = 0 using α = 0.05. What is the P-value for this test?

(b) Find a 95% confidence interval on ρ.

(c) Test the hypothesis H0: ρ = 0.8 versus H1: ρ ≠ 0.8, using α = 0.05. Find the P-value for this test.

UNIT 10 – Testing Hypothesis About Proportions Standardized Value (z-score, z*) – # of standard deviations an observation lies away from the mean Z = pp̂ – p = ( value – mean ) √ pq ÷ n standard deviation Hypothesis – statement about the population distribution parameter (ex: p), usually claims the parameter takes on a specific value Class Example: Study to see in bank executives are more likely to promote males than females, SRS of 48 execs were given fake resumes of 24 men & 24 women. 35 execs said they would hire the candidate; 21 male & 14 female. Is this difference evidence of discrimination Start with idea that no discrimination has occurred. If so, since males & females were equally represented in the