2. The Roman Senate has become concerned about the loyalty of the army in Gaul commanded by Julius Caesar. They claim that of the 80,000 men in the army, at least 28,000 are foreign barbarians. Caesar believes that there are fewer barbarians than that, so the Senate should not worry. He polls one legion of 1,000 men and finds that 340 of them are barbarians.
Assume the value of the test statistic is -0.70. Calculate the p-value for this test using Excel.

a. 0 =NORMSDIST(-0.7)
b. 0 =TDIST(-0.70,999,1)
c. 0 =2*(NORMSDIST(-0.7))
d. 0 =TDIST(0.7,999,2)

Objective: Perform a hypothesis test of one population mean using the standard normal distribution.

3. A pooled proportion estimate can be used to calculate the test statistic for a test of the equality of proportions when the

a. 0 populations are normally distributed
b. 0 sample sizes are small
c. 0 samples are independently drawn from the populations
d. 0 null hypothesis states that the two population proportions are equal

Objective: Interpret the results of hypothesis tests.

4. Sample sizes of two independent samples must be identical if we plan to test for a difference of means.

a. 0 True
b. 0 False

Solution Preview

1) b. False
Explanation: Since the null hypothesis is not rejected at the 0.10 level, p-value > 0.10. ...

Solution Summary

The solution contains various multiple choice solution from Hypothesis testing.

... 34 Pooled Variance 1.375606 Difference in Sample Means 0.709 ... p-Value 0.082667639 Reject the null hypothesis. ... method for the calculation of testing of hypothesis...

... 2. Take a random sample and test a hypothesis... In a nutshell, the idea is to show that you understand confidence intervals and hypothesis testing and can ...

...Test statistic, F = MSR/MSE = 138.25/9.75 = 14.17948718. ... The sample provides enough evidence to support the ... Use the five-step hypothesis testing procedure to ...

... a) Formulate appropriate hypotheses to test... Conclusion: Reject the null hypothesis. ... Thus the sample provides enough evidence to support the claim that there is ...

... population to be studied b. State the hypotheses for the ... method for the calculation of Statistical Tests, Hypothesis Testing, p-Values, and Sample Size . ...

...Sample Proportion 0.53 (computed from Successes / Sample Size). Z Test Statistic (Computed) -0.47. ... Write the hypotheses. ... The null hypothesis tested is. ...

... by step method for the calculation of Hypothesis testing. ... Pooled Variance 62.26708 Difference in Sample Means -7 t ... p -Value 0.033533 Reject the null hypothesis. ...

...TESTING HYPOTHESES ABOUT TWO POPULATION VARIANCES) Test the following hypotheses by using the given sample information and ... The null hypothesis tested is. ...