Question

Are phone calls equally likely to occur any day of the week? The day of the week for each of 392 randomly selected phone calls was observed. The results are displayed in the table below. Use an αα = 0.10 significance level.

Complete the rest of the table by filling in the expected frequencies:
Frequencies of Phone Calls for Each Day of the Week

OutcomeFrequencyExpected Frequency

Sunday38

Monday57

Tuesday65

Wednesday45

Thursday75

Friday63

Saturday49

What is the correct statistical test to use?
Select an answer Homogeneity Goodness-of-Fit Paired t-test Independence

What are the null and alternative hypotheses?
H0:H0:

Phone calls and days of the week are dependent.

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 independent.

H1:H1:

The distribution of phone calls is uniform over the days of the week.

Phone calls and days of the week are independent.

Phone calls and days of the week are dependent.

The distribution of phone calls is not uniform over the days of the week.

The degrees of freedom =

The test-statistic for this data =  (Please show your answer to three decimal places.)

The p-value for this sample = (Please show your answer to four decimal places.)

The p-value is Select an answer less than (or equal to) greater than  αα

Based on this, we should Select an answer accept the null reject the null fail to reject the null

Thus, the final conclusion is...

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 sufficient 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.

Answer 1