Are phone calls equally likely to occur any day of the week? The day of the week for each of 385 randomly selected phone calls was observed. The results are displayed in the table below. Use an a = 0.01 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Phone Calls for Each Day of the Week Outcome Frequency Expected Frequency Sunday 59 Monday 50 Tuesday 43 Wednesday 60 Thursday 79 Friday 58 Saturday 36 b. What is the correct statistical test to use? Goodness-of-Fit ✓ c. What are the null and alternative hypotheses? Ho: O The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are independent. O The distribution of phone calls is uniform over the days of the week. OD

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Are phone calls equally likely to occur any day of the week? The day of the week for each of 385 randomly
selected phone calls was observed. The results are displayed in the table below. Use an a =
0.01 significance level.
a. Complete the rest of the table by filling in the expected frequencies:
Frequencies of Phone Calls for Each Day of the
Week
Outcome Frequency Expected Frequency
Sunday 59
Monday 50
Tuesday 43
Wednesday 60
Thursday 79
Friday 58
Saturday 36
b. What is the correct statistical test to use?
Goodness-of-Fit
c. What are the null and alternative hypotheses?
Ho:
The distribution of phone calls is not uniform over the days of the week.
Phone calls and days of the week are independent.
The distribution of phone calls is uniform over the days of the week.
Phone calls and days of the week are dependent.
Transcribed Image Text:Are phone calls equally likely to occur any day of the week? The day of the week for each of 385 randomly selected phone calls was observed. The results are displayed in the table below. Use an a = 0.01 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Phone Calls for Each Day of the Week Outcome Frequency Expected Frequency Sunday 59 Monday 50 Tuesday 43 Wednesday 60 Thursday 79 Friday 58 Saturday 36 b. What is the correct statistical test to use? Goodness-of-Fit c. What are the null and alternative hypotheses? Ho: The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are independent. The distribution of phone calls is uniform over the days of the week. Phone calls and days of the week are dependent.
H₁:
The distribution of phone calls is uniform over the days of the week.
The distribution of phone calls is not uniform over the days of the week.
Phone calls and days of the week are dependent.
Phone calls and days of the week are independent.
d. The degrees of freedom =
e. The test-statistic for this data =
f. The p-value for this sample
=
g. The p-value is Select an answer
h. Based on this, we should Select an answer
i. Thus, the final conclusion is...
να
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
There is sufficient evidence to conclude that phone calls and days of the week are dependent.
There is sufficient evidence to conclude that the distribution of phone calls is not uniform
over the days of the week.
There is insufficient evidence to conclude that phone calls and days of the week are
dependent.
There is insufficient evidence to conclude that the distribution of phone calls is not uniform
over the days of the week.
There is sufficient evidence to conclude that the distribution of phone calls is uniform over
the days of the week.
Transcribed Image Text:H₁: The distribution of phone calls is uniform over the days of the week. The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are dependent. Phone calls and days of the week are independent. d. The degrees of freedom = e. The test-statistic for this data = f. The p-value for this sample = g. The p-value is Select an answer h. Based on this, we should Select an answer i. Thus, the final conclusion is... να (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) There is sufficient evidence to conclude that phone calls and days of the week are dependent. There is sufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week. There is insufficient evidence to conclude that phone calls and days of the week are dependent. There is insufficient evidence to conclude that the distribution of phone calls is not uniform over the days of the week. There is sufficient evidence to conclude that the distribution of phone calls is uniform over the days of the week.
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