Test the claim about the population mean, , at the given level of significance u

Question

Test the claim about the population mean, , at the given level of significance using the given sample statistics Claim: * 5000: . 0.09; 415. Sample statistics: x-4900, n.35 Identify the null and altemative hypotheses. Choose the correct answer below. A. Ho: #5000 H 5000 C. HOP#5000 Ha: -6000 E. Ho : $5000 Ha : * 5000 B. Ho: -5000 Ha : #5000 D. Ho : #5000 Ha : 5000 Ho: 25000 : #5000 Calculate the standardized test statistic The standardized test statistic is1.43 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice (Round to two decimal places as needed.) OA. The critical value is B. The critical values are ± 1.70 Determine the outcome and conclusion of the test. Choose from the following A. B. ° C. 0 D. Reject Ho. At the 9% significance level, there is enough evidence to reject the claim Fail to reject Ho. At the 9% significance level, there is not enough evidence to reject the claim Reject Ho. At the 9% significance level, there is enough evidence to support the claim. Fail to reject Ho. At the 9% significance level, there is not enough evidence to support the claim.

Explanation / Answer

Test statistic = -1.43

Critical values = -1.70, 1.70

Since the test statistic lies between the critical values, we do not reject Ho. Hence,

Option D is correct.

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