Question

A random sample of

777

subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows​ goodness-of-fit test results from the claim and data from the study. Test that claim using either the critical value method or the​ P-value method with an assumed significance level of

alphaαequals=0.05

Num Categories	7		Test​ statistic, chiχsquared2	1545.077
Degrees of freedom	6		Critical chiχsquared2	12.592
Expected Freq	111.0000		​P-Value	0.0000

Determine the null and alternative hypotheses.

Upper H 0H0​:

▼

At least two days of the week have a different frequency of being selected.

All days of the week have a different chance of being selected.

All days of the week have an equal chance of being selected.

At least one day of the week has a different chance of being selected.

Upper H 1H1​:

▼

At least one day of the week has a different chance of being selected.

All days of the week have a different chance of being selected.

At least two days of the week have a different frequency of being selected.

All days of the week have an equal chance of being selected.

Identify the test statistic.

chiχsquared2equals=nothing

​(Type an integer or a​ decimal.)

Identify the critical value.

chiχsquared2equals=nothing

​(Type an integer or a​ decimal.)

State the conclusion.

▼

Reject

Fail to reject

Upper H 0H0.

There

▼

is not

is

sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. It

▼

does appear

does not appear

that all days have the same chance of being selected.

Enter your answer in each of the answer boxes.

Answer 1