Question

Question 7b - Conduct a Hypothesis Test to determine if there is evidence that the proportion of accounts with Good quality rating is less than 26%. Use significance level alpha=5%.

Test Statistic = _________

P value = ___________

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Answer 1

Date: 07/05/2019 Answer To test the hypothesis is that the proportion of accounts with Good quality rating is less than 26% at 5% level of significance. The null and alternative hypothesisis Ho p 0.26 Ha p0.26 The z-test statistics is, _ P-p p(1-p) 7n 0.19- 0.26 0.261-0.26) 100 --1.595 The z-test statistics is[-1.599

The p-value for this test is, From the standard normal distribution table, the associated probability for the area to the left is shown below, p(z <-1.595) 0.0553 Thep-value for this test is 0.055). Decision The conclusion is that the p-value in this context is higher than 0.05 which is 0.0548, so the null hypothesis is not rejected at 5% level of significance. There is insufficient evidence to indicate that the proportion of accounts with Good quality rating is less than 26%. The result is not statistically significant.