A random sample of n1 = 149 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 8 were found to be high school dropouts. Another random sample of n2 = 123 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? .01 (b) State the null and alternate hypotheses.H0: p1 = p2; H1: p1 ≠ p2 (c) What sampling distribution will you use? What assumptions are you making? (A) The standard normal. The number of trials is sufficiently large. (B)The Student's t. The number of trials is sufficiently large. (C)The standard normal. We assume the population distributions are approximately normal. (D)The Student's t. We assume the population distributions are approximately normal. (d) 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.) (e) Find (or estimate) the P-value. (Round your answer to four decimal places.) (f) Sketch the sampling distribution and show the area corresponding to the P-value. (if you can) (g) Based on your answers, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? (A) At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (B)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. (C)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (D)At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (h) Interpret your conclusion in the context of the application. (A)Fail to reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (B)Fail to reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (C)Reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (D)Reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.
A random sample of n1 = 149 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 8 were found to be high school dropouts. Another random sample of n2 = 123 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? .01 (b) State the null and alternate hypotheses.H0: p1 = p2; H1: p1 ≠ p2 (c) What sampling distribution will you use? What assumptions are you making? (A) The standard normal. The number of trials is sufficiently large. (B)The Student's t. The number of trials is sufficiently large. (C)The standard normal. We assume the population distributions are approximately normal. (D)The Student's t. We assume the population distributions are approximately normal. (d) 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.) (e) Find (or estimate) the P-value. (Round your answer to four decimal places.) (f) Sketch the sampling distribution and show the area corresponding to the P-value. (if you can) (g) Based on your answers, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? (A) At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (B)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. (C)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (D)At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (h) Interpret your conclusion in the context of the application. (A)Fail to reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (B)Fail to reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (C)Reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County. (D)Reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.
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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Question
A random sample of n1 = 149 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 8 were found to be high school dropouts. Another random sample of n2 = 123 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance.
(a) What is the level of significance? .01
(b) State the null and alternate hypotheses.H0: p1 = p2; H1: p1 ≠ p2
(c) What sampling distribution will you use? What assumptions are you making?
(A) The standard normal. The number of trials is sufficiently large.
(B)The Student's t. The number of trials is sufficiently large.
(C)The standard normal. We assume the population distributions are approximately normal.
(D)The Student's t. We assume the population distributions are approximately normal.
(d) 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.)
(e) Find (or estimate) the P-value. (Round your answer to four decimal places.)
(f) Sketch the sampling distribution and show the area corresponding to the P-value. (if you can)
(g) Based on your answers, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
(A) At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(B)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
(C)At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
(D)At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
(h) Interpret your conclusion in the context of the application.
(A)Fail to reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.
(B)Fail to reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.
(C)Reject the null hypothesis, there is sufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.
(D)Reject the null hypothesis, there is insufficient evidence that the proportion of high-school dropouts on Oahu differs from that of Sweetwater County.
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