stats module 6 homework question 15 please help

Question

A computer manufacturing company produces 2 products: desktop computers and laptops. The quality controller wants to see if the proportion of defective desktop computers is higher than the proportion of defective laptops. To check this, he takes a random sample of 125 desktop computers and observes that 17 are defective and he also takes a random sample of 135 laptops and observes that 12 are defective. Assume a normal sampling distribution. Test an appropriate hypothesis and state your conclusion. Use a significance level of 0.02.

(a) What are the null and alternative hypotheses?

H₀: pμp1 - p2μ1 - μ2μd <≠>= 0.0 or 0.0471

H_A: pμp1 - p2μ1 - μ2μd =≤≥<≠> 0.0 or 0.0471

(b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)

(c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.)

(d) Based on the p-value,  fail to reject reject the null hypothesis.

Answer 1

a)H0​:p1​−p2​≤0

HA​:p1​−p2​>0

b)1.09

c)0.1379

d)Since p-value=0.1379>0.02, we fail to reject the null hypothesis.

I have calculations on paper and I am not able to upload the workings. I am however available anytime to demonstrate my answers and for questions.