Statistics (Significance test, Chi Square)

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the following school year.  She wants to know if each type of food will be equally popular so she can start ordering supplies making other plans.  To find out, she selects a random sample of 100 students and asks them, "Which type of food do you prefer: Asian food, Mexican food, pizza, or hamburgers?"  Here are the data in the table provided.  The P-value for a chi-square test for goodness of fit is 0.0129.  Which is the following is the most appropriate conclusion?

• Because 0.0129 is less than α = 0.05, reject H₀.  There is convincing evidence that the food choices are equally popular.
• Because 0.0129 is less than α = 0.05, reject H₀.  There is not convincing evidence that the food choices are equally popular.
• Because 0.0129 is less than α = 0.05, reject H₀.  There is convincing evidence that the food choices are not equally popular.
• Because 0.0129 is less than α = 0.05, fail to reject H₀.  There is convincing evidence that the food choices are equally popular.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.ID.B.5

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

• H₀: p = 0.50

• H₀: µ = 100

• H₀: p = 0.48

• H₀: µ = 96

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5

Which of the following shows a right-tailed test?

• Ha: µ < 15
• H₀: µ < 15
• Ha: µ > 15
• H₀: µ > 15

There is evidence against the null hypothesis whenever ___________.

• the P-value is lower than 0.05

• the P-value is larger than 0.05

• the P-value is .5

• the P-value is 1

If the chi-square is less than the critical value, what should we do?

• Reject the Null Hypothesis

• Fail to Reject the Null Hypothesis

• Accept the Null Hypothesis

If the chi square is more than the critical value, what should we do?

• Reject the Null Hypothesis

• Fail to Reject the Null Hypothesis

• Accept the Null Hypothesis

What is the correct terminology for the null hypothesis? 

• There is no significancee between the observed and expected values. 
• There is significance between the estimated and  expected values 
• There is significance between the observed and calculated values 
• There is no significance between the observed values and the alternative hypothesis. 

How do you find degrees of freedom for a chi-square test?

• one less than the number of categories

• one more than the number of categories

• total number divided 2

• total number times 2

If you have expected and observed values, what statistical test can you run?

• Standard error of the mean

• Chi square

• Mean calculation

• W-test

What would the degrees of freedom be if you conducted an experiment to determine if a single dice was weighted?

• 1

• 6

• 5

• 95