**Testing Hypothesis for Population Proportions****Objective:** You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.005\).**Null and Alternative Hypotheses:**- \(H_0: p_1 = p_2\)- \(H_a: p_1 \neq p_2\)**Sample Data:**- First population: 120 successes and 403 failures.- Second population: 39 successes and 278 failures.**Test Details:**- **Critical Value:** \(\pm\) [three decimal accuracy]- **Test Statistic:** = [three decimal accuracy]**Decision Criteria:**- The test statistic is... - \( \circ \) in the critical region - \( \bullet \) not in the critical region**Decision Based on Test Statistic:**- This test statistic leads to a decision to... - \( \bullet \) reject the null hypothesis - \( \circ \) fail to reject the null hypothesis**Conclusion:**- As such, the final conclusion is that... - \( \bullet \) There is sufficient evidence to support that the first population proportion is not equal to the second population proportion. - \( \circ \) There is not sufficient evidence to support that the first population proportion is not equal to the second population proportion.The analysis confirms a statistically significant difference between the population proportions at the given significance level.

The question is about hypo. testing Given : No. of successes in sample drawn from popl. 1 ( x1 ) =…

Answered: You wish to test the following claim…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r=0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05. 1 Critical Values of the Pearson Correlation Coefficient r E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Critical Values of the Pearson Correlation Coefficient r a = 0.01 NOTE: To test Ho: p=0 against H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. (Round to two decimal places as needed.) a = 0.05 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.834 0.798 0.765 0.735 0.708 8 0.707 9 0.666 10 0.632 11 0.602 0.576 0.553 12 0.684 13 0.661 0.641 0.623 0.606 14 0.532 0.514 15 16 17 0.497 0.482 0.468 0.456 0.444 0.590 0.575…
You wish to test the following claim (Ha) at a significance level of a = 0.02. H.: P1 - P2 = 0 H.:P1 - P2
You wish to test the following claim (Ha) at a significance level of a = 0.002. = Ho: P₁ Ha: P1 P2 P2 You obtain a sample from the first population with 594 successes and 78 failures. You obtain a sample from the second population with 558 successes and 44 failures. The test statistic is... O in the critical region not in the critical region critical value = test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
You wish to test the following claim (HaHa) at a significance level of α=0.005. Ho:p=0.35 Ha:p≠0.35You obtain a sample of size n=650 in which there are 209 successful observations.Determine the test statistic formula for this test.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.35. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.35. The sample data support the claim that the population proportion is not equal to 0.35. There is not…
You wish to test the following daim (Ha) at a significance level of a = 0.10. H,:P1 P2 You obtain 615 successes in a sample of size n1 = 704 from the first population. You obtain 490 successes in a sample of size n2 = 581 from the second population. critical value = [three decimal accuracy] test statistic = [three decimal accuracy] The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null accept the null fail to reject the null As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is greater than the second population proportion. O There is not sufficient evidence to support that the first population proportion is greater than the second population proportion.
According to a recent poll, the percentage of Americans who would vote for the incumbent president is 53%. If a random sample of 100 people in New York results in 45% who would vote for the incumbent, test the claim that the percentage of people in New York who would vote for the incumbent president is different from 53%. Use the following results and a 0.10 significance level to state your decision about H0. H0 : p=0.53 H1 : p≠0.53 test statistic: z = -1.6 p value = 0.1090
You wish to test the following claim (Hå) at a significance level of a Ho: P₁ = P2 Ha: P₁ P2 0.005. You obtain 10.2% successes in a sample of size ni 518 from the first population. You obtain 15.2% successes in a sample of size n₂ 269 from the second population. Round values for X to the nearest whole number. What is the test statistic for this sample? (Round to three decimal places.) test statistic = What is the p-value for this sample? (Round to four decimal places.) p-value =
You wish to test the following claim (H) at a significance level of a = 0.001. Ho: P₁ ≤ P2 Ha: P₁ P2 You obtain 194 successes in a sample of size n₁ in a sample of size n₂ = 365 from the second population. - test statistic = p-value = 240 from the first population. You obtain 273 successes [three decimal accuracy] [three decimal accuracy]
You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho:p = 0.26 Ha:p + 0.26 а You obtain a sample of size n = 568 in which there are 179 successful observations. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a O greater than a
You wish to test the following claim (H) at a significance level of a = 0.001. H₂: P₁ = P2 Ha: P₁ P2 You obtain 61.9% successes in a sample of size ₁ = 423 from the first population. You obtain 53.1% successes in a sample of size n₂ = 531 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value= The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data…
You wish to test the following daim (Ha) at a significance level of a = 0.005. H.:P1 > P2 Ha:P1 < P2 You obtain a sample from the first population with 303 successes and 238 failures. You obtain a sample from the second population with 155 successes and 79 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy] The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. O There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho: P1 = P2 Ha: P₁ P2 You obtain 690 successes in a sample of size ₁ = 755 from the first population. You obtain 529 successes in a sample of size n2 = 603 from the second population. What is the critical value for this test? (Round to three decimal places.) Critical value = What is the test statistic for this sample? (Round to three decimal places.) Test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... O reject the null O fail to reject the null As such, the final conclusion is that... O The sample data support the claim that the first population proportion is greater than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

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