Please help ty A Team is comparing two different models of motion sensor for an

Question

Please help ty

A Team is comparing two different models of motion sensor for an alarm system. The team tested 360 samples of Model A and 420 samples of Model B, and found 332 Model A and 378 Model B passed the test. Conduct a test at 1 percent significance level to decide whether or not the team can claim that Model A is better than Model B for motion sensing 1. What are the hypotheses (Hovs. H1) for the test? 2. Determine the critical value for the test 3. Compute the statistic for the test 4. Result of the test? 5. Write a statement based on the result of test

Explanation / Answer

p1 = 332/360 = 0.92

p2 = 378/420 = 0.9

H0: p1 = p2

H1: p1 > p2

The pooled sample proportion (P) = (p1 * n1 + p2 * n2)/(n1 + n2)

= (0.92 * 360 + 0.9 * 420)/(360 + 420)

= 0.91

SE = sqrt (P * (1 - P ) * (1/n1 + 1/n2))

= sqrt (0.91 * 0.09 * (1/360 + 1/420))

= 0.065

The test statistic Z = (p1 - p2)/SE

= (0.92 - 0.9)/0.065 = 0.31

At 0.01 level of significance the critical value is 2.58

As the critical value is greater than the test statistic value (2.58 > 0.31), SO the null hypothesis is not rejected.

So at 1% significance level there is not sufficient evidence to support that model A is better than model B for motion sensing.

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