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Generally speaking, would you say that most people can be trusted? A random sample of n, 258 people in Chicago ages 18-25 showed that r₁= 40 said yes. Anothe trusting people in Chicago is higher for the older group? Use a = 0.05. LAUSE SALT (a) What is the level of significance? State the null and alternate hypotheses. Ho: P₁ P₂i H₁: P₂ P₂ Ho: P₁ P₂i H₁: Pg > P₂ Ho: P₁ P₂i H₂i Pq

Generally speaking, would you say that most people can be trusted? A random sample of n, 258 people in Chicago ages 18-25 showed that r₁= 40 said yes. Anothe trusting people in Chicago is higher for the older group? Use a = 0.05. LAUSE SALT (a) What is the level of significance? State the null and alternate hypotheses. Ho: P₁ P₂i H₁: P₂ P₂ Ho: P₁ P₂i H₁: Pg > P₂ Ho: P₁ P₂i H₂i Pq

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 55RE: For the following exercises, use the following data: An elementary school survey found that 350 of...
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Generally speaking, would you say that most people can be trusted? A random sample of n. 258 people in Chicago ages 18-25 showed that r₁-40 said yes. Another random sample of n₂ = 287 people in Chicago ages 35-45 showed that r₂- 69 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a = 0.05. LAUSE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P₁ P₂i H₂: P₁ P₂ P₂ H₁: Pg P₂ P₂i H₂i Pq <P₂ P₂i H₁: P1 P₂ Ho: P₁ Ho: P₁ Ho: P₁ (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.) O Sketch the sampling distribution and show the area corresponding to the P-value. A A A Pulue Pvalue (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? O At the a= 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O 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 fail to 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 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. Reject the null hypothesis, there is insufficient evidence that the proportion of trusting people in Chicago is higher in the older group. 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.
Transcribed Image Text:Generally speaking, would you say that most people can be trusted? A random sample of n. 258 people in Chicago ages 18-25 showed that r₁-40 said yes. Another random sample of n₂ = 287 people in Chicago ages 35-45 showed that r₂- 69 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use a = 0.05. LAUSE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P₁ P₂i H₂: P₁ P₂ P₂ H₁: Pg P₂ P₂i H₂i Pq <P₂ P₂i H₁: P1 P₂ Ho: P₁ Ho: P₁ Ho: P₁ (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.) O Sketch the sampling distribution and show the area corresponding to the P-value. A A A Pulue Pvalue (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? O At the a= 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O 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 fail to 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 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. Reject the null hypothesis, there is insufficient evidence that the proportion of trusting people in Chicago is higher in the older group. 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.
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