The table shows the earnings (in thousands of dollars) of a random sample of 11 people with bachelor's degrees and 10 people with associate's degrees. At alpha = 0.05, is there enough evidence to support the belief that there is a difference in the earnings of people with bachelor's degrees and those with associate's degrees? Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. A.The test statistic is not between the critical values, so fail to reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. B.The test statistic is not between the critical values, so reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. C.The test statistic is between the critical values, so reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. D.The test statistic is between the critical values, so fail to reject the null hypothesis. At the 5% level of significance, there is not enough evidence to support the claim. ### Analysis of Earnings Based on Educational AttainmentThe table below provides an overview of the earnings (in thousands of dollars) of a random sample of individuals, categorized by their highest level of educational attainment—either a bachelor's degree or an associate degree. The sample includes data from 11 participants with bachelor's degrees and 10 participants with associate degrees.#### Earnings Data| Degree | Salary (in thousands of dollars) ||-------------|---------------------------------------------------------------------------------|| Bachelor's | 57, 75, 51, 73, 43, 73, 52, 69, 49, 68, 47 || Associate's | 41, 29, 36, 49, 24, 28, 50, 25, 24, 50 |### Hypothesis TestingThe primary research question is whether there is sufficient evidence to conclude a difference in earnings between individuals with bachelor's degrees and those with associate degrees. The significance level (alpha) is set at 0.05.Four potential interpretations of the results are outlined as follows:- **A.** The test statistic is not between the critical values, so fail to reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. - **B.** The test statistic is not between the critical values, so reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. - **C.** The test statistic is between the critical values, so reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. - **D.** The test statistic is between the critical values, so fail to reject the null hypothesis. At the 5% level of significance, there is not enough evidence to support the claim.### ConclusionTo determine the appropriate conclusion, statistical analysis using a hypothesis test should be conducted to compare the mean earnings between the two groups. Based on the results, a decision will be made to either reject or fail to reject the null hypothesis, thereby interpreting the context of the original claim regarding earnings differences.

For people with bachelor's degrees,Sample size, For people with associate's degrees, Sample size,…

The table shows the earnings (in thousands of dollars) of a random sample of 11 people with bachelor's degrees and 10 people with associate's degrees. At alpha= 0.05, is there enough evidence to support the belief that there is a difference in the earnings of people with bachelor's degrees and those with associate's degrees? Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Degree Salary (in thousands of dollars) Bachelor's 57 75 51 73 43 73 52 69 49 68 47 Associate's 41 29 36 49 24 38 50 25 24 50 OA. The test statistic is not between the critical values, so fail to reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. OB. The test statistic is not between the critical values, so reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. OC. The test statistic is between the critical values, so reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim. OD. The test statistic s between the critical values, so fail to reject the null hypothesis. At the 5% level of significance, there is not enough evidence to support the claim.

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

	A.	The test statistic is not between the critical values, so fail to reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim.
	B.	The test statistic is not between the critical values, so reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim.
	C.	The test statistic is between the critical values, so reject the null hypothesis. At the 5% level of significance, there is enough evidence to support the claim.
	D.	The test statistic is between the critical values, so fail to reject the null hypothesis. At the 5% level of significance, there is not enough evidence to support the claim.