The following is a linear regression model predicting interest rate $($in percentage$)$ based on

whether the borrower has bankruptcy on record $($bankruptcy$=1)$ or not

$($bankruptcy$=0)$

Write the null and alternative hypotheses for a test to determine whether the

bankruptcy coefficient is statistically significant.

b$)$ Is the bankruptcy coefficient statistically significant at the $10\%$ level? Explain why.

c$)$ Is the bankruptcy coefficient statistically significant at the $5\%$ level? Explain why.

d$)$ Is the bankruptcy coefficient statistically significant at the $1\%$ level? Explain why.

e$)$ Write an accurate interpretation of the bankruptcy coefficient.