d. The degrees of freedom = e. The test-statistic for this data show your answer to three decimal places.) f. The p-value for this sample your answer to four decimal places.) = = (Please (Please show

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
9:52
myopenmath.com
A report just came out that stated that 24.2% of all
Americans say that vanilla is their favorite ice cream,
23.3% say that chocolate is their favorite, 9.6% favor butter
pecan, 9.4% favor strawberry, and the rest have other
favorites. An ice cream shop owner thinks that her
customers are not like the rest of America. The table
below shows the results of 790 of her patrons' ice cream
selections. What can be concluded at the a =
0.01 significance level?
a. Complete the table by filling in the expected
frequencies. Round your answers to the nearest
whole number.
Frequencies of Favorite Ice Cream
Outcome Frequency Expected Frequency
Vanilla 184
Chocolate 183
56
Butter Pecan 68
Strawberry 69
Other
286
b. What is the correct statistical test to use?
Goodness-of-Fit ✓
c. What are the null and alternative hypotheses?
Ho:
H₁:
The distribution of favorite ice cream for
customers at her sh is not the same as it is
for Americans in general.
O Favorite ice cream and where the ice cream is
purchased are dependent.
The distribution of favorite ice cream for
customers at her shop is the same as it is for
Americans in general.
Favorite ice cream and where the ice cream is
purchased are independent.
Transcribed Image Text:9:52 myopenmath.com A report just came out that stated that 24.2% of all Americans say that vanilla is their favorite ice cream, 23.3% say that chocolate is their favorite, 9.6% favor butter pecan, 9.4% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 790 of her patrons' ice cream selections. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Frequencies of Favorite Ice Cream Outcome Frequency Expected Frequency Vanilla 184 Chocolate 183 56 Butter Pecan 68 Strawberry 69 Other 286 b. What is the correct statistical test to use? Goodness-of-Fit ✓ c. What are the null and alternative hypotheses? Ho: H₁: The distribution of favorite ice cream for customers at her sh is not the same as it is for Americans in general. O Favorite ice cream and where the ice cream is purchased are dependent. The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general. Favorite ice cream and where the ice cream is purchased are independent.
d. The degrees of freedom =
e. The test-statistic for this data =
show your answer to three decimal places.)
f. The p-value for this sample=
your answer to four decimal places.)
(Please
(Please show
Transcribed Image Text:d. The degrees of freedom = e. The test-statistic for this data = show your answer to three decimal places.) f. The p-value for this sample= your answer to four decimal places.) (Please (Please show
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