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Based on information from a previous study, r₁39 people out of a random sample of n, 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n₂ 104 adult Americans who did attend college, r₂- 49 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. LAUSE SALT (a) What is the level of significance? 0.01 ✓ State the null and alternate hypotheses. O Ho: P1 P₂i H₁ P1 P₂ Hoi P1P₂i H₁: P₁ > P₂ O Ho: P1

Based on information from a previous study, r₁39 people out of a random sample of n, 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n₂ 104 adult Americans who did attend college, r₂- 49 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. LAUSE SALT (a) What is the level of significance? 0.01 ✓ State the null and alternate hypotheses. O Ho: P1 P₂i H₁ P1 P₂ Hoi P1P₂i H₁: P₁ > P₂ O Ho: P1

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.2: Addition On A Number Line
Problem 37WE
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Based on information from a previous study, r₁39 people out of a random sample of n, 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of m₂ 104 adult Americans who did attend college, r₂- 49 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. LAUSE SALT (a) What is the level of significance? 0.01 ✓ State the null and alternate hypotheses. O Ho: P1 P₂i H₁: P1 P₂ Hoi P1 P₂i H₁: P₁ > P₂ O Ho: P1 <P₂i H₁: P₁ = P₂ Ho: P₁ P₂i H₁: P₁ P₂ (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. The standard normal. We assume the population distributions are approximately normal. X X 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.) 1.76 X (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 0.0784 X Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 -2 -1 0 1 2 -2 -1 1 2 3
Transcribed Image Text:Based on information from a previous study, r₁39 people out of a random sample of n, 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of m₂ 104 adult Americans who did attend college, r₂- 49 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. LAUSE SALT (a) What is the level of significance? 0.01 ✓ State the null and alternate hypotheses. O Ho: P1 P₂i H₁: P1 P₂ Hoi P1 P₂i H₁: P₁ > P₂ O Ho: P1 <P₂i H₁: P₁ = P₂ Ho: P₁ P₂i H₁: P₁ P₂ (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. The standard normal. We assume the population distributions are approximately normal. X X 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.) 1.76 X (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 0.0784 X Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 -2 -1 0 1 2 -2 -1 1 2 3
O Ho: P1 <P₂i H₁: P₁ P2 Hoi P₁ P₂i H₁: P₁ P₂ (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. The standard normal. We assume the population distributions are approximately normal. X 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.) X 1.76 (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 0.0784 x Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 0-3 X -2 O At the a O At the a At the a -2 -1 0 -1 0 1 1 2 2 3 3 0-3 0-3 X -2 -2 -1 -1 0 0 1 1 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. 2 X 2 (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 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. 3 3
Transcribed Image Text:O Ho: P1 <P₂i H₁: P₁ P2 Hoi P₁ P₂i H₁: P₁ P₂ (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. The standard normal. We assume the population distributions are approximately normal. X 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.) X 1.76 (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) 0.0784 x Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 0-3 X -2 O At the a O At the a At the a -2 -1 0 -1 0 1 1 2 2 3 3 0-3 0-3 X -2 -2 -1 -1 0 0 1 1 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. 2 X 2 (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 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. 3 3
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