# HW9 - STAT 500 HW 9 1 Problem 1 from HW a set up the...

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STAT 500 HW 9 1. Problem 1 from HW a. set up the hypothesis Ho: π = 0.108 Ha: π < 0.108 b. Significance level = 0.01 c. Checking for conditions to use 1 proportion z-test: 400*0.108= 43.2 >5 400*0.892=356.8>5 d. Z= (0.0275-0.108) / √((0.108*0.892)/400) = -5.1876 e. Critical values and rejection region α=0.01 Z≤-Za Z(0.01)= -2.33 Check whether the test statistic falls in the rejection region Z>Za/2 -5.18<-2.33 f. conclusion in words Since the value of the test statistic falls in the rejection region, we reject Ho and conclude Ha, meaning that there is enough evidence to conclude that in 1995, families whose household had a Bachelor’s degree or more had a lower percentage earning income bellow the poverty level than the national percentage of 10.8% 2. Problem 2 from HW a. Null and alternative hypothesis Two tailed Ho: π = 0.42 Ha: π ≠ 0.42 b. Significance level = 0.05 c. Test statistics 17/32= 0.53125 Check 32(0.42) = 13.44 >5 32(0.58)= 18.56>5 Since both are >5 we can use one proportion z-test Z= (0.53125-0.42) / √((0.42*0.58)/32) = 1.28 Z=1.28

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d. Compute p-value
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HW9 - STAT 500 HW 9 1 Problem 1 from HW a set up the...

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