According to a Pew report, 14.6% of newly married couples in 2008 reported that their spouse was of another race or ethnicity (CNNLiving, 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 500 newly married couples. (You may find it useful to reference the appropriate table: z table or t table) Let p1 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. multiple choice 1 H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0 H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0 H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0 b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) b-2. Find the p-value. multiple choice 2 p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 c. At α = 0.05 does the sample data suggest that there has been an increase in the proportion of people who marry outside their race or ethnicity? multiple choice 3 Yes, since we reject the null hypothesis. No, since we reject the null hypothesis. Yes, since we do not reject the null hypothesis. No, since we do not reject the null hypothesis.
According to a Pew report, 14.6% of newly married couples in 2008 reported that their spouse was of another race or ethnicity (CNNLiving, 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 500 newly married couples. (You may find it useful to reference the appropriate table: z table or t table)
Let p1 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.
multiple choice 1
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H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0
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H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0
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H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0
b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
b-2. Find the p-value.
multiple choice 2
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p-value < 0.01
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0.01 ≤ p-value < 0.025
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0.025 ≤ p-value < 0.05
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0.05 ≤ p-value < 0.10
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p-value ≥ 0.10
c. At α = 0.05 does the sample data suggest that there has been an increase in the proportion of people who marry outside their race or ethnicity?
multiple choice 3
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Yes, since we reject the null hypothesis.
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No, since we reject the null hypothesis.
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Yes, since we do not reject the null hypothesis.
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No, since we do not reject the null hypothesis.
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