Question

Is there significant evidence that selling price increases as appraised value increases? To answer this question, test the hypotheses

(a) $H_0:\beta =0\text{versus}{H}_a:\beta >0\text{.}$.

(b) $H_0:\beta =0\text{versus}{H}_a:\beta <0$

(c) $H_0:\beta =0\text{versus}{H}_a:\beta \ne 0$

(d) $H_0:\beta >0\text{versus}{H}_a=\beta =0.$

(e)$H_{x:\beta }=1\text{versus.}H·\theta >1$

Short answer

$\text{(a)}{H}_0:\beta =0\text{versus}{H}_a:\beta >0\text{.}$

Step-by-step solution

Given Information

Need to test the hypothesis.

Explanation

Claim: Is there an increase? Or equivalently, Is the slope of the population regression line positive?

The null hypothesis states that the population parameter is equal to the value mentioned in the claim:

$H_0:\beta =0$

The alternative hypothesis states the opposite of the null hypothesis (according to the claim):

$H_a:\beta >0$