Question

A company manager wishes to test a union leader's claim that
absences occur on the different week days with the same
frequencies.

To test the claim, the following data is collected:

Day |
Mon Tue
Wed Thur Fri

Absences | 37 15 12 23 43

Use this data to test the manager's claim at the 0.05 level of significance;

include all necessary steps for hypothesis testing.

Answer #1

We will do a Chi-square test for this.

**H _{0}:**
Absences

**H _{1}:**
Absences

Contingency
table |
||||||

Day |
Mon |
Tue |
Wed |
Thur |
Fri |
Total |

Original
(O_{i}) |
37 | 15 | 12 | 23 | 43 | 130 |

Expected
(E_{i}) |
26 | 26 | 26 | 26 | 26 | 130 |

(O_{i}-E_{i})^{2} |
121 | 121 | 196 | 9 | 289 | 736 |

Now, the degree of freedom is

The test statistics is given by

Then, the test statistics is

As the chi-square test is always a right tailed test, the critical value of for 0.05 level of significance is 9.49.

As the test statistics is greater than the critical value at
0.05 level of significance, we have sufficient evidence to
**reject H _{0}.**

We **do not have sufficient evidence** to conclude
that absences occur on the different week days with the
same frequencies.

Perform the indicated goodness-of-fit test. A company manager
wishes to test a union leader's claim that absences occur on the
different week days with the same frequencies.
Day
Mon
Tue
Wed
Thur
Fri
Absences
36
14
11
22
42
a. State the null and alternative hypotheses.
b. Find the test statistic and p value.
c. Test this claim at the 0.05 level of significance if the
following sample data have been compiled.

A company manager wishes to test a union leader's claim that
absences occur on the different week dayswith the same frequencies.
Data are given below
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Absences
37
15
12
23
43
a. Find the expected absences for each day If you
have multiple answer, use comma to seperate each answer.
b. Test this claim at the 0.05 level of significance using the
given data.
H0
H1
P-value
decision
conclusion

please show work on ti 84
1. A company manager wishes to test a union leader's claim that
absences occur on the different week days with the same
frequencies. Test this claim at the 0.05 level of significance if
the following sample data have been compiled.
Day Mon Tue Wed Thur Fri
Absences 37 15 12 23 43
2. Responses to a survey question are broken down according to
employment status and the sample results are given below. At the...

A company manager wishes to test a union leaderâ€™s claim that
absences occur on the different week days with equal frequencies.
Test this claim at the 0.025 level of significance if the following
sample data have been compiled.
Day_______Mon____Tues____Wed____Thur____Fri_
Absences 37
15
12
23
43

For each of these problems follow the 6-step Hypothesis Testing
Guideline. You can use the p-value or the critical value method.
You can calculate the test statistic and p-value (Step 4) either by
hand using the formulas and tables, with a graphing calculator, or
by using StatCrunch. Include the details of your calculations, not
just the values. If you use the critical value method, state the
critical value instead of the p-value. Remember to include the
Expected value for a...

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