What is needed to calculate the critical region for the t-test for a single sample? A....

What is needed to calculate the critical region for the t-test for a single sample?

A. Alternative hypothesis only

B. Alpha and Alternative Hypothesis only

C. df, alpha, and alternative hypothesis

D. df and alternative hypothesis only

Expert Solution

Solution:

To calculate the critical region for the t-test for a single sample , we need :

i) df : Degrees of Freedom = n -1

ii) Level of significance = which is the area of rejection region

iii) Alternative hypothesis which decides whether test is one tailed or two tailed.

So if test is one tailed , then we assume Level of significance = as one tailed area and look in t table for One tailed area as size of Level of significance = and for associated degrees of freedom, then we find corresponding t critical value, which is the boundary point of rejection region.

In case of two tailed test, we assume Level of significance = as two tailed area and look in t table for two tailed area as size of Level of significance = for associated degrees of freedom, then we find corresponding t critical value. In this case we have two critical regions. So we have two t critical values and these two values are boundary points of rejection region in left and right tail.

Thus in order to get the critical region for the t-test for a single sample , we need :

C. df, alpha, and alternative hypothesis

orchestra answered 2 years ago

I assert that the critical value of t, for a One sample t Test with a...

I assert that the critical value of t, for a One sample t Test with a nondirectional alternative hypothesis and using a particular α level, will increase as sample size increases. Am I correct? Circle “YES” or “NO.” If NO, explain why not?

Question 1 The single sample t-test compares the ________ of a single sample (group) to a...

Question 1 The single sample t-test compares the ________ of a single sample (group) to a known population mean. 1) mean 2) standard deviation 3) scores 4) variance Question 2 The distributions from which the scores are taken should be normally distributed. Hint: Refer to your book and look at Assumptions. 1) True 2) False Question 3 To run the single sample t-test in SPSS you need to click on the following: Analyze Compare Means One-Sample t Test 1) True...

Provide an appropriate response. Find the critical value and rejection region for the type of t-test...

Provide an appropriate response. Find the critical value and rejection region for the type of t-test with level of significance α and sample size n. Two-tailed test, α = 0.1, n = 23

To calculate a t-statistic for a specific sample, what information is needed about the population from...

To calculate a t-statistic for a specific sample, what information is needed about the population from which the sample was obtained? Group of answer choices the value for µ the value of N the value of Ơ

Find the t-critical values (tcrit) that form the rejection region for a two-tailed test with α...

Find the t-critical values (tcrit) that form the rejection region for a two-tailed test with α = .05 for each of the following sample sizes. a. N = 10 ________2.262____________ b. N = 17 _________2.120___________ c. N = 27 _________2.056____________

Find and sketch the critical value(s) and the rejection region for a left-tailed t-test with α...

Find and sketch the critical value(s) and the rejection region for a left-tailed t-test with α =0.02 and n=42.

Identify the appropriate statistical test for each research description: Single-sample z-test Single-samplet-test Independent samples t-test Related...

Identify the appropriate statistical test for each research description: Single-sample z-test Single-samplet-test Independent samples t-test Related samples t-test (repeated measures or matched samples) Correlation A researcher investigates whether single people who own pets are generally happier than singles without pets. A group of non-pet owners is compared to pet owners using a mood inventory. The pet owners are matched one to one with the non-pet owners for income, number of close friendships, and general health.

dentify the appropriate statistical test for each research description: Single-sample z-test Single-samplet-test Independent samples t-test Related...

dentify the appropriate statistical test for each research description: Single-sample z-test Single-samplet-test Independent samples t-test Related samples t-test (repeated measures or matched samples) Correlation An office manager wants to know if there’s a gender difference in punctuality. Over the period of one month, he records the number of days that each employee is late, to see if there’s a difference between male and female employees.

Find the critical value(s) for the type of t-test with level of significance α and sample...

Find the critical value(s) for the type of t-test with level of significance α and sample size n. Ha: μ < 20, α = 0.005, n = 25.

1. Find the critical t-value(s) for a one sample t-test given: α = 0.01 n =...

1. Find the critical t-value(s) for a one sample t-test given: α = 0.01 n = 12 one-tailed test (lower-tailed critical region) a. 2.130 and -2.130 b. 3.103 and -3.103 c.-2.718 d. -2.567 e. 2.998 2. Find the critical t-value(s) for a one sample t-testgiven: α = 0.05 df = 26 one-tailed test (upper-tailed critical region) a. 2.042 and -2.042 b.-1.812 c. 1.706 d. 3.241 e. -1.339 3. What decision you would make regarding the null hypothesis (reject or fail...

Question