You collect test scores on four members of a population which you can safely assume is approximately Normally distributed and test the hypotheses H0:$mu$=100 versus Ha:$mu$ > 100. You obtain a P-value of 0.052. Which of the following statements is true?

TESTS OF SIGNIFICANCE

Please wait while the activity loads.
If this activity does not load, try refreshing your browser. Also, this page requires javascript. Please visit using a browser with javascript enabled.

If loading fails, click here to try again

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]

You collect test scores on four members of a population which you can safely assume is approximately Normally distributed and test the hypotheses H0:

A	At the 5% significance level, you have proved thatH0 is true.
B	You have failed to obtain any evidence for Ha.
C	There is some evidence against H0, and a study using a larger sample size may be worthwhile
D	You can accept Ha at the 5% significance level
E	You can accept H0 at the 10% significance level.

Explanation:

Detailed explanation-1: -A z-test is a statistical test to determine whether two population means are different when the variances are known and the sample size is large. A z-test is a hypothesis test in which the z-statistic follows a normal distribution.

Detailed explanation-2: -A researcher selects a sample from a population with = 30 and uses the sample to evaluate the effect of a treatment. After treatment, the sample has a mean of M = 32 and a variance of s2 = 6.

Detailed explanation-3: -For performing a t test, we don’t need to know the population standard deviation. The same is true for z test, providing we have a large sample size (>30). Thus the correct option, the condition that is not required is: (b) The population standard deviation a is known.

There is 1 question to complete.

RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

TESTS OF SIGNIFICANCE