A Chi-sqaured goodness of fit test has a p-value of 0.0231. If the test is conducted at a 5% significance level, what is the conclusion of the test.

A t-test is has a p-value of 0.516. If the test is conducted at the 5% significance level, what is the conclusion of the test.

The formula for the degrees of freedom of a Chi-Squared goodness of fit test is:

When conducting a 2-sample t-test on your GDC, you start by inputting the data for each sample into your lists. The calculator will then ask you whether the data is Pooled. Which answer do you enter?

When conducting a 2 sample t-test, what assumptions do you make in performing a test?

A school decided to pilot a reward based system if students attended over 95% of the academic year. Any students in year 10 who attended over this percentage would be allowed to go on a reward trip. At the end of the year, the school decided to compare the year 10 attendance results with that of the previous year 10. It was assumed that students in the current year would be motivated by the reward trip and therefore attend school more regularly.

The analysis involved a t-test. What type of test would this involve?

A school decided to pilot a reward based system if students attended over 95% of the academic year. Any students in year 10 who attended over this percentage would be allowed to go on a reward trip. At the end of the year, the school decided to compare the current year 10 attendance results with that of the previous year 10. It was assumed that students in the current year would be motivated by the reward trip and therefore attend school more regularly. A sample was taken of eacy year group and the results are shown below:

Conduct a t-test and identify the p-value for this data. Give your answer to 3 significant figures.

For a Chi-squared goodness of fit test, the critical value is given as 14.1. The \(χ_2 \) statistic iscalculated to be 10.5. Identify the conclusion for the test.

For football stickers, the manufacturer claims the following distribution for the proportions of sticker type:

Sophie is skeptical of the manufacturers claim and tests the result on 200 stickers based on the sticker website information. Her results are shown below:

Find the expected frequency of how rare each category of sticker is.

For football stickers, the manufacturer claims the following distribution for the proportions of sticker type:

Sophie is skeptical of the manufacturers claim and tests the result on 200 stickers based on the sticker website information. Her results are shown below:

Conduct a Chi-Squared goodness of fit test to determine whether the manufacturers claims are correct. Enter the p-value in the space below, given to 3 significant figures, and determine the conclusion of the test at a 1% significance level.