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Chi-Square Goodness of Fit--Apps SL

Total questions: 13

Worksheet time: 10mins

Name
Class
Date
1.

How many degrees of freedom will be present?

a)

4

b)

5

c)

6

d)

7

2.
The bigger the chi square statistic, the ________ the p value.
a)
bigger
b)
smaller
3.
What is the expected value for all cells, if we assume that this is a fair six sided die?
a)
96
b)
16
c)
8
d)
1/6
4.
What statistical model does this graph illustrate?
a)
normal model
b)
t model
c)
chi square model
5.
In a chi square goodness of fit test, you must have
a)
counts for two categorical variables
b)
proportions for one categorical variable
c)
counts for one categorical variable
d)
proportions for two categorical variables
6.
A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely).  The spinner is spun 100 times, and the results are recorded.  The degrees of freedom for the test will be
a)
8
b)
9
c)
10
d)
99
7.

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

a)

one less than the sample size

b)

one less than the population

c)

total number divided 2

d)

total number times 2

8.

Aw, nuts! A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27% almonds, 13% macadamia nuts, and 8% brazil nuts. To test this claim, a quality-control inspector takes a random sample of 150 nuts from the latest batch. The one-way table below displays the sample data. What is the appropriate null hypothesis

a)

U1-U2=U3=U4

b)

Mixed nut proportions are proportioned the same as they claim

c)

At least one of the four types in the population is different than expect

d)

the observed counts are equally distributed

9.

Python eggs How is the hatching of water python eggs influenced by the temperature of the snake’s nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother. Here are the data on the number of eggs that hatched and didn’t hatch.

If the p-value is .08 and you use .05 as your alpha, what is your conclusion

a)

Fail to reject: We do not have sufficient evidence that distribution of hatched is different for water temperature options

b)

Reject: We do not have sufficient evidence that distribution of hatched is different for water temperature options

c)

Fail to reject: We do have sufficient evidence that distribution of hatched is different for water temperature options

10.

For this Chi-Square Goodness of Fit Test, how many degrees of freedom are there?

a)

1

b)

2

c)

3

d)

More information is needed to determine.

11.

Which of the following makes for a reasonable null hypothesis for a Chi-Square Goodness of Fit Test?

a)

The distribution of political views this year is 0.24 liberal, 0.38 moderate, 0.38 conservative.

b)

The distribution of political views this year differs from a distribution of 0.24 liberal, 0.38 moderate, 0.38 conservative.

c)

The distribution of political views this year is independent of gender.

d)

This is not a situation where using a Chi-Square Goodness of Fit Test is appropriate.

12.

How did the person's calculator determine the expected frequencies for this Chi-Square Goodness of Fit Test?

a)

The student inputs the expected frequencies and the calculator determines the observed frequencies.

b)

It doubles each observed value.

c)

The calculator can not determine expected frequencies. The student had to input both observed and expected frequencies.

d)

The calculator takes each row total/grand total and multiples by column total.

13.

Given a significance level of 5%, should we accept or reject the null hypothesis.

a)

Since the p-value of 0.231 is greater than the significance level of 0.05, we should accept the null hypothesis.

b)

Since the p-value of 0.447 is greater than the significance level of 0.05, we should accept the null hypothesis.

c)

Since the p-value of 0.231 is less than the significance level of 5%, we should accept the null hypothesis.

d)

Since the p-value of 0.447 is greater than the significance level of 0.05, we should reject the null hypothesis.