Question

(1 point) Suppose that you are to conduct the following hypothesis test: Ho: H : u 4 = + 490 490 Assume that you know that o = 125, n = 42, X = 458.75, and take a = 0.005. Determine each of the following: The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-0, a) is expressed (-infinity, a), an answer of the form (b, ) is expressed (b, infinity), and an answer of the form (-0,a) u (b, ) is expressed (-infinity, a)U(b, infinity). The rejection region for the standardized test statistic : The p-value is Your decision for the hypothesis test: A. Do Not Reject Hj. B. Reject Ho. OC. Do Not Reject H.. OD. Reject H.

Answer 1

Answer Date: 27/02/2020 To test the hypothesis is that the population mean is different from 490 at 0.50% significance level. The null and alternative hypothesis is, H: = 490 H:490 The z-test statistics is, Colin 458.75 – 490 (125/142) =-1.62 The z-test statistics is -1.6202

The Z-critical value is, From the standard normal table, the z-critical value for two-tailed at 99.50% confidence is 2.8070. The Z-critical value is (-00,-2.8070) (2.8070,-). The p-value is, From the standard normal distribution table, the area under to the left of -1.6202 multiply by 2 and p-value is, p= 2(0.0526) = 0.1052 The p-value is 0.1052). Decision

The z value corresponds to sample statistics is not falls in the critical region, so the null hypothesis is not rejected at 0.50% level of significance. There is insufficient evidence to indicate that the population mean is different from 490. The result is not statistically significant. The answer option is C.