Question: You are testing the null hypothesis that = 0 versus the alternative > 0 using = 0 .05. Assume that = 16. Suppose that x

You are testing the null hypothesis that = 0 versus the alternative > 0 using = 0 .05. Assume that = 16. Suppose that x = 8 and n = 10. Calculate the test statistic and its p-value. Repeat assuming the same value of x but wtih n = 20. Do the same for sample sizes of 30, 40, and 50. Do the same for the p-values. Summarize what this demonstration shows about the effect of the sample size on significance testing.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1, You are testing the null hypothesis that= 0 versus the alternative> 0 using= .05. Assume=17. Supposex=4.8andn=12. Calculate the test statistic and itsP-value. Repeat assuming the same value ofxbut...

Let X1, , Xn be a sample from a location family with common density f(x), where the location parameter R and f() is known. Consider testing the null hypothesis that = 0 versus an alternative = 1...

Let X1, , Xn be a sample from a location family with common density f (x ), where the location parameter R and f () is known. Consider testing the null hypothesis that = 0 versus an alternative ...

CHALLENGE Effect of sample size on significance. You are testing the null hypothesis that = 0 versus the alternative > 0 using = 0.05. Assume = 14. Suppose x = 4 and n = 10. Calculate the test...

Suppose X1, ...Xn are i.i.d. Poisson(). Consider testing the null hypothesis H0 : = 0 versus the alternative, HA : >0. (i) Consider the test 1 n with rejection region n1/2[Xn 0] > z11/2 0 , where...

Suppose X1, ...Xn are i.i.d. Poisson(). Consider testing the null hypothesis H0 : = 0 versus the alternative, HA : >0. (i) Consider the test 1 n with rejection region n1/2[X n 0] > z11/2 0 , where...

CHALLENGE Sample size calculations. You are designing a study to test the null hypothesis that = 0 versus the alternative that is positive. Assume that is 10. Suppose that it would be important to...

statistics--> Consider an independent and identically distributed random sample X1, . . . , X I}? fX HE), where the population probability mass function f); is such that: fx(mw)=:avma1f'l...

(i) Suppose X is a random variable taking values in a sample space S with probability law P. Let 0 and 1 be disjoint families of probability laws. Assume that, for every Q 1 and any > 0, there...

Write a C program to find roots of a quadratic equation. A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax + bx...

A power calculation has shown that if = 8, the power of a test of H0 : 10 versus H1 :

On January 1 . 2 0 2 5 , Nash Company issued 1 0 year, $ 1 , 8 1 0 , 0 0 0 face value, 6 1 Cbondk , at pare Exch 5 1 0 0 0 bond is convertiale into 1 5 shares of Nash common stock. Nash's net income...

NATURE AND CLASSES OF CONTRACTS 1. A sued B. A claimed that because of certain conduct B was under a quasi-contractual liability to pay A a sum of money spent by A in performing certain work. B...

1. The first party (the sender) may dispute the validity of the interpretation, or 2. He/she can accept the interpretation.

2. In this chapter, the reader should reflect on the following concepts: Message, communication error, data, code, information, metaphor.

1. To gain insight about the information processes operating in a communication process.