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8.2. a. SP In 2016, the average SNAP benefits (formerly known as Food Stamps) per individual was $121.71. As a social policy researcher interested in welfare benefits, you are wondering if Asians on SNAP benefits in Arizona are different from the national average. So you have gathered a random sample of 150 Asians in Arizona on SNAP benefits and you find that they average $116.75 per month, with a standard deviation of $18.00. Are Asians in Arizona different from all SNAP beneficiaries? Determine this using the 95% confidence level. (HINT: The wording of the research question suggests a two-tailed test. This means that the alternative, or research, hypothesis in step 2 will be stated as H:µ# 121.71 and that the critical region will be split between the upper and lower tails of the sampling distribution. See Table 8.3 for values of Z(critical) for various alpha levels.) b. What if the research question were changed to "Do Asians collect less than all beneficiaries in Arizona?" How would the test conducted in problem 8.2a change? (HINT: This wording implies a one-tailed test of significance. How would the research hypothesis change? For the alpha you used in problem 8.2a, what would the value of Z(critical) be?)

8.2. a. SP In 2016, the average SNAP benefits (formerly known as Food Stamps) per individual was $121.71. As a social policy researcher interested in welfare benefits, you are wondering if Asians on SNAP benefits in Arizona are different from the national average. So you have gathered a random sample of 150 Asians in Arizona on SNAP benefits and you find that they average $116.75 per month, with a standard deviation of $18.00. Are Asians in Arizona different from all SNAP beneficiaries? Determine this using the 95% confidence level. (HINT: The wording of the research question suggests a two-tailed test. This means that the alternative, or research, hypothesis in step 2 will be stated as H:µ# 121.71 and that the critical region will be split between the upper and lower tails of the sampling distribution. See Table 8.3 for values of Z(critical) for various alpha levels.) b. What if the research question were changed to "Do Asians collect less than all beneficiaries in Arizona?" How would the test conducted in problem 8.2a change? (HINT: This wording implies a one-tailed test of significance. How would the research hypothesis change? For the alpha you used in problem 8.2a, what would the value of Z(critical) be?)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Answer 8.2. a. SP In 2016, the average SNAP benefits (formerly known as Food Stamps) per individual was $121.71. As a social policy researcher interested in welfare benefits, you are wondering if Asians on SNAP benefits in Arizona are different from the national average. So you have gathered a random sample of 150 Asians in Arizona on SNAP benefits and you find that they average $116.75 per month, with a standard deviation of $18.00. Are Asians in Arizona different from all SNAP beneficiaries? Determine this using the 95% confidence level. (HINT: The wording of the research question suggests a two-tailed test. This means that the alternative, or research, hypothesis in step 2 will be stated as H:p+ 121.71 and that the critical region will be split between the upper and lower tails of the sampling distribution. See Table 8.3 for values of Z(critical) for various alpha levels.) b. What if the research question were changed to "Do Asians collect less than all beneficiaries in Arizona?" How would the test conducted in problem 8.2a change? (HINT: This wording implies a one-tailed test of significance. How would the research hypothesis change? For the alpha you used in problem 8.2a, what would the value of Z(critical) be?) 8.3. 68°F Clear GロG) Cop 40 4+ 441 insert 80 MI
Transcribed Image Text:Answer 8.2. a. SP In 2016, the average SNAP benefits (formerly known as Food Stamps) per individual was $121.71. As a social policy researcher interested in welfare benefits, you are wondering if Asians on SNAP benefits in Arizona are different from the national average. So you have gathered a random sample of 150 Asians in Arizona on SNAP benefits and you find that they average $116.75 per month, with a standard deviation of $18.00. Are Asians in Arizona different from all SNAP beneficiaries? Determine this using the 95% confidence level. (HINT: The wording of the research question suggests a two-tailed test. This means that the alternative, or research, hypothesis in step 2 will be stated as H:p+ 121.71 and that the critical region will be split between the upper and lower tails of the sampling distribution. See Table 8.3 for values of Z(critical) for various alpha levels.) b. What if the research question were changed to "Do Asians collect less than all beneficiaries in Arizona?" How would the test conducted in problem 8.2a change? (HINT: This wording implies a one-tailed test of significance. How would the research hypothesis change? For the alpha you used in problem 8.2a, what would the value of Z(critical) be?) 8.3. 68°F Clear GロG) Cop 40 4+ 441 insert 80 MI
Full Book | 吃AA Go to pg- TOC Table 8.3 Finding Critical Z Scores for One-Tailed Tests nov One-Tailed Value velf Two-Tailed Value om Alpha Upper Tail Lower Tail on 0.10 +1.65 +1.29 -1.29 on d 0.05 +1.96 +1.65 -1.65 he 0.01 +2,58 +2.33 -2.33 0.001 +3.32 +3.10 -3.10 ed t 1.0001 +3.90 +3.70 -3.70 1 ng Note that, for i given alpha level, the 1. critical Z values for one-tailed tests are Asi closer to the mean of the sampling n 8 distribution. Thus, a one-tailed test is more erch likely to reject Ho without changing the cica alpha level (assuming that we have specified the correct tail). One-tailed tests 68 F Clear 9:16 AM
Transcribed Image Text:Full Book | 吃AA Go to pg- TOC Table 8.3 Finding Critical Z Scores for One-Tailed Tests nov One-Tailed Value velf Two-Tailed Value om Alpha Upper Tail Lower Tail on 0.10 +1.65 +1.29 -1.29 on d 0.05 +1.96 +1.65 -1.65 he 0.01 +2,58 +2.33 -2.33 0.001 +3.32 +3.10 -3.10 ed t 1.0001 +3.90 +3.70 -3.70 1 ng Note that, for i given alpha level, the 1. critical Z values for one-tailed tests are Asi closer to the mean of the sampling n 8 distribution. Thus, a one-tailed test is more erch likely to reject Ho without changing the cica alpha level (assuming that we have specified the correct tail). One-tailed tests 68 F Clear 9:16 AM
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