One sided hypothesis test

Oct 31, 2012

Uniman

Consider a one-sided (greater than) hypothesis tests. For a given level of significance

we can find the

quantile

which satisfies

From the standard Normal Table, find the approximate

quantiles for

and

and indicate which of the following statements is correct.Select one:

Is it the second option?

Last edited: Oct 31, 2012

Oct 31, 2012

Uniman

Standard normal table

file:///Users/manukumarindia/Desktop/Screen%20Shot%202012-10-29%20at%2011.12.15%20AM.png

1. What is a one-sided hypothesis test?

A one-sided hypothesis test, also known as a one-tailed test, is a statistical test used to determine whether there is a significant difference between a sample mean or proportion and a known or hypothesized value in one direction. It is used when there is prior knowledge or a strong belief that the difference will occur in a specific direction.

2. How is a one-sided hypothesis test different from a two-sided test?

In a one-sided hypothesis test, the alternative hypothesis only considers one direction of the difference, while a two-sided test considers both directions. This means that a one-sided test is more specific and has a higher power to detect a significant difference in the desired direction, but it cannot detect differences in the opposite direction.

3. What are the steps involved in conducting a one-sided hypothesis test?

The steps involved in conducting a one-sided hypothesis test are:

Step 1: Formulate the null and alternative hypotheses.

Step 2: Choose an appropriate significance level (alpha).

Step 3: Calculate the test statistic.

Step 4: Determine the critical value or p-value.

Step 5: Compare the test statistic to the critical value or p-value and make a decision.

4. What is a critical value in a one-sided hypothesis test?

A critical value in a one-sided hypothesis test is a value that is compared to the test statistic to determine whether the null hypothesis can be rejected. It is derived from the chosen significance level and the degrees of freedom in the data. If the test statistic is greater than the critical value, the null hypothesis can be rejected in favor of the alternative hypothesis.

5. What is the p-value in a one-sided hypothesis test?

The p-value in a one-sided hypothesis test is the probability of obtaining a test statistic at least as extreme as the observed value, assuming that the null hypothesis is true. It is compared to the chosen significance level, and if it is less than or equal to the significance level, the null hypothesis can be rejected in favor of the alternative hypothesis. A smaller p-value indicates stronger evidence against the null hypothesis.