Consumer purchase perception. A group of researchers studied the effect of consumer perception on purchase decisions of the XL Xtra Combo Lite data package card and published their article in Jurnal Ekonomi & Ekonomi Syariah (Vol 3(2), 2020). The study sampled 44 respondents from the semester VI students of the undergraduate management study program at the STIE Sultan Agung. Consumer perception and purchase decisions were measured using Likert scale values. The researchers then modeled the purchase decision (y) as a function of the consumer perception (x) in a straight-line model, E1y2 = b0 + b1x.

a. If it is true that consumers’ perception influences their purchase decision, will the sign of b1 be positive or negative? Explain.

b. The following statistics were reported in the article: bn 1 = .807 and sbn1 = .176. Find a 95% confidence interval for b1.

c. Use the result, part

b, to make an inference about the model.