Question

Consider the following hypotheses: Ho: 4 = 150 HA: H < 150 A sample of 80 observations results in a sample mean of 144. The population standard deviation is known to be 28. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic -1.92 a-2. Find the p-value. p-value < 0.01 0.01 s p-value < 0.025 0.025 s p-value < 0.05 0.05 s p-value < 0.10 p-value 2 0.10 b. Does the above sample evidence enable us to reject the null hypothesis at a = 0.01? Yes since the p-value is less than the significance level. < Prev 3 of 5 Next >

Answer 1

A) P value lies between. 0025<=p value<.05

B). At level of significance = 0.01, we fail to reject the null hypothesis as the p value is greater than 0.01

C). At level of significance = 0.05, we reject the bull hypothesis as the p value is less than 0.05

D). Here, we interpret that the population mean is less than 150 as the null hypothesis is rejected at 0.05 level of significance.