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D Professional Admissions Skil Homepage-BNAD 277 FAI 7 x\"Top Hat × x Chapter 10

ID: 3274332 • Letter: D

Question

D Professional Admissions Skil Homepage-BNAD 277 FAI 7 x"Top Hat × x Chapter 10 Homework C ezto.mheducation.com/hm.tpx Apps 51 newsmap dzi D uaccess n Facebook bookiemarket"-M catmail Hear the tracks you. T 2 2.00 points According to the Pew report, 146% of newly married couples in 2008 reported that ther spouse was of another race or ethnicity (CNNLMg. June 7, 2010). In a similar survey in 1980, only 6.8% of newlywed couples reported marrying outside their race or ethnicity. Suppose both of these surveys were conducted on 120 newly married couples. Use Table 1 Let pt represent the population proportion in 2008 and p2 the population proportion in 1980. a. Specify the competing hypotheses to test the claim that there is an increase in the proportion of people who marry outside their race or ethnicity. b. What is the value of the test statistic and the associated p-value? (Round intermediate calculations to at least 4 decimal places, "Test statistic" value to 2 decimal places and "p-value" to 4 decimal places.) Test statistic c. At the 5% level of significance, what is the oondusion? Reject Mo since the main is less than a Reject Ho since the p-value is more than a Do not reject HO srce the pvalue is less than a. Do not repect Hy since the p-value is more than a References eBook & Resources gB8 2 3 4

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0

Hypothesis test results:

Hence,

a) Option B

b) Test statistic = 1.95

p - Value = 0.0253

c) Option A

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 17.52 120 8.16 120 0.078 0.039906349 1.9545762 0.0253