Let the test statistic T have a t distribution when He is true. Give the P-value...

Question

Question

Let the test statistic T have a t distribution when He is true. Give the P-value for each of the following situations. (Round

Answer 1

Answer #1

Solution:

Using t-distribution probability table,

a)

This is right tailed test.

P-value = 0.008

b)

This is left tailed test.

P-value = 0.051

c)

This is two tailed test.

P-value = 0.240

Add a comment

Answer 2

Similar Homework Help Questions

For each test statistic below, give the p value (do not round p): a. t =...

For each test statistic below, give the p value (do not round p): a. t = 2.20, df = 15, one-tailed test b. Z = 1.10, one-tailed test c. t = -2.65, df = 20, two-tailed test d. Z = -.26, two-tailed test
Suppose that the null hypothesis is true, that the distribution of the test statistic, say T,...

Suppose that the null hypothesis is true, that the distribution of the test statistic, say T, is continuous with cumulative distribution function F and that the test rejects the null hypothesis for large values of T. Let V denote the p-value of the test. a. Show that V = 1 − F(T). b. Conclude that the null distribution of V is uniform. c. If the null hypothesis is true, what is the probability that the p-value is greater than 0.1?
Give as much information as you can about the P-value of a t test in each...

Give as much information as you can about the P-value of a t test in each of the following situations. (Round your answers to three decimal places.) (a) Upper-tailed test, df = 9, t = 2.0 P-value < 0.005 0.005 < P-value < 0.01 0.01 < P-value < 0.025 0.025 < P-value < 0.05 P-value > 0.05 (b) Upper-tailed test, n = 13, t = 3.2 P-value < 0.005 0.005 < P-value < 0.01 0.01 < P-value < 0.025 0.025...

For each statistic below, give the p value (do not round p): 1. t=2.20, df=15, one...

For each statistic below, give the p value (do not round p): 1. t=2.20, df=15, one tailed test
Give as much information as you can about the P-value of a t test in each...

Give as much information as you can about the P-value of a t test in each of the following situations by using the appendix table of t curve tail areas. (Round your answers to three decimal places.) (a) Upper-tailed test, df-7,t-1.9 (b) Lower-tailed test, df- 14, t -2.5 (c) Two-tailed test, df- 17, t-1.3 (d) Upper-tailed test, df = 24, --1.2 (e) upper-tailed test, df = 5, t = 5.2 (f) Two-tailed test, df 30, t-4.5
P-value is the probability, computed assuming H0 is true, that the test statistic would take a...

P-value is the probability, computed assuming H0 is true, that the test statistic would take a value as extreme or more extreme than that actually observed. Given the sample at hand, it is the smallest level of significance at which H0 would be rejected. It depends on the sample (hypotheses as well) and is hence also a test statistic. Generate 50 samples of size n=10 from a normal distribution with mean μ=1 and variance σ2=4. For each sample, use the...

Find the p-value for each of these situations. Be sure to take into account whether the...

Find the p-value for each of these situations. Be sure to take into account whether the test is left sided, right sided, or two sided Note that when testing the value of a single population mean (rather than a difference in means), degrees of freedom are df-n-1. Round all answers to three decimal places t-statistic 2.92 p-value df 64 t-statistic1.82 p-value df 10 t-statistic 2.15 p-value d. H0: μ 837 Ha: μ > 837 n 128 t-statistic 2.21 p-value e....
The F statistic and its p-value give a global test of significance for a multiple regression. Select one: True False

The F statistic and its p-value give a global test of significance for a multiple regression. Select one: True False
For a test of He: p=0.50, the z test statistic equals 1.02. Use this information to...

For a test of He: p=0.50, the z test statistic equals 1.02. Use this information to complete parts (a) through (d) below. a. Find the P-value for He: p>0.50. (Round to three decimal places as needed.) b. Find the P-value for H, :p*0.50 (Round to three decimal places as needed.) c. Find the P-value for He:p<0.50. (Hint: The P-values for the two possible one-sided tests must sum to 1.) (Round to three decimal places as needed.) d. Do any of...

TRUE or FALSE? WHY? 1) When the test statistic is t and the number of degrees...

TRUE or FALSE? WHY? 1) When the test statistic is t and the number of degrees of freedom is > 30, the critical value of t is very close to that of z (the standard normal). 2) The t-test can be applied with absolutely no assumptions about the distribution of the population.