Consider the following hypotheses: H₀: 219 H_A:< 219 A sample of 75 observations results in a sample mean of 206. The population standard deviation is known to be 26.(You may find it useful to reference the appropriate table:ztableorttable) a-1.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

a-2.Find thep-value. multiple choice 1

• 0.05 p-value < 0.10
• p-value 0.10
• p-value < 0.01
• 0.01 p-value < 0.025
• 0.025 p-value < 0.05

b.Does the above sample evidence enable us to reject the null hypothesis at= 0.10? multiple choice 2

• Yes since thep-value is less than the significance level.
• No since thep-value is greater than the significance level.
• No since thep-value is less than the significance level.
• Yes since thep-value is greater than the significance level.

c.Does the above sample evidence enable us to reject the null hypothesis at= 0.01? multiple choice 3

• Yes since thep-value is less than the significance level.
• Yes since thep-value is greater than the significance level.
• No since thep-value is less than the significance level.
• No since thep-value is greater than the significance level.

d.Interpret the results at= 0.01. multiple choice 4

• We conclude that the population mean is less than 219.
• We cannot conclude that the population mean is less than 219.
• We conclude that the population proportion differs from 219.
• We conclude that the population proportion equals 219.