A random sample of 772 subjects was asked to identify the da

A random sample of 772 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

Num Categories          7                            Test statistic X^2 4.986
Degrees of freedom   6                            Critical X^2            12.592
Expected Freq             110.2857              P-value                   0.5456

A) Determine the null alternative hypotheses
Ho
H1

B) Identify the test statistic
X^2   ________
C) Identify the critical value
X^2
D) State conclusion
__________ Ho. There __________ sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. If ______ that all days have the same chance of being selected

Solution

solutionA :

Null Hypothesis:

H0: the days of the week are selected with a uniform distribution so that all days have the same chance of being selected

Alternative Hypothesis:

Ha: the days of the week are selected with a uniform distribution so that all days does not have the same chance of being selected

SolutionB:

Test statistic X^2 = 4.986

SolutionC:

Critical X^2= 12.592

SolutionD:

as critical chi sq value is greater than test statistic

Fail to Reject Null Hypothesis.

Accept Null Hypothesis.

SolutionD:

Fail to Reject Ho.

There _____is no_____ sufficient evidence to warrant rejection of the claim that the days of the week are selected with a uniform distribution. If ______ that all days have the same chance of being selected