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Generally speaking, would you say that most people can be trusted? A random sample of n₂ = 240 people in Chicago ages 18-25 showed that r₂ = 46 said yes. Another random sample of n₂ = 273 people in Chicago ages 35-45 showed that ₂73 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. Hol PP₂ H₂1 P1 P₂ Hot PyP₂ H₁¹ Pg > P2 O H! Py < PS Hi: p: ® P2 HolPqP₂ H₂1 P₂ P₂ (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal The standard normal. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference P₁ P₂. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. @O TAA @O

Generally speaking, would you say that most people can be trusted? A random sample of n₂ = 240 people in Chicago ages 18-25 showed that r₂ = 46 said yes. Another random sample of n₂ = 273 people in Chicago ages 35-45 showed that ₂73 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. Hol PP₂ H₂1 P1 P₂ Hot PyP₂ H₁¹ Pg > P2 O H! Py < PS Hi: p: ® P2 HolPqP₂ H₂1 P₂ P₂ (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal The standard normal. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference P₁ P₂. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. @O TAA @O

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Generally speaking, would you say that most people can be trusted? A random sample of n₁ = 240 people in Chicago ages 18-25 showed that r₁ = 46 said yes. Another random sample of n₂ = 273 people in Chicago ages 35-45 showed that r₂ = 73 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Hot P₁ = P₂² H₁: P1 # P2 O Ho: P₁ P₂i H₁: P1 > P2 O Ho: P₁ P₂ H₁: P1 = P2 Ho: P₁ P₂ H₁³ P₁ <P2 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference P₁ P₂. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. P-value P-value P-value P-value
Transcribed Image Text:Generally speaking, would you say that most people can be trusted? A random sample of n₁ = 240 people in Chicago ages 18-25 showed that r₁ = 46 said yes. Another random sample of n₂ = 273 people in Chicago ages 35-45 showed that r₂ = 73 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Hot P₁ = P₂² H₁: P1 # P2 O Ho: P₁ P₂i H₁: P1 > P2 O Ho: P₁ P₂ H₁: P1 = P2 Ho: P₁ P₂ H₁³ P₁ <P2 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference P₁ P₂. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. P-value P-value P-value P-value
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there is sufficient evidence that the proportion of trusting people in Chicago is higher in the older group. Reject the null hypothesis, there is insufficient evidence that the proportion of trusting people in Chicago is higher in the older group. Reject the null hypothesis, there is sufficient evidence that the proportion of trusting people in Chicago is higher in the older group. Fail to reject the null hypothesis, there is insufficient evidence that the proportion of trusting people in Chicago is higher in the older group.
Transcribed Image Text:(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there is sufficient evidence that the proportion of trusting people in Chicago is higher in the older group. Reject the null hypothesis, there is insufficient evidence that the proportion of trusting people in Chicago is higher in the older group. Reject the null hypothesis, there is sufficient evidence that the proportion of trusting people in Chicago is higher in the older group. Fail to reject the null hypothesis, there is insufficient evidence that the proportion of trusting people in Chicago is higher in the older group.
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