Question

1)Employers want to know which days of the week employees are absent in a five-day work week. Most employers would like to believe that employees are absent equally during the week. Suppose a random sample of 71 managers were asked on which day of the week they had the highest number of employee absences. The results were distributed as in Table. For the population of employees, do the days for the highest number of absences occur with equal frequencies during a five-day work week? Test at a 0.05% significance level.

Day | Observed Frequency |
---|---|

Monday | 10 |

Tuesday | 13 |

Wednesday | 19 |

Thursday | 14 |

Friday | 15 |

What is the chi-square test-statistic for this data? (Report answer
accurate to three decimal places.)

χ2=χ2=

What are the degrees of freedom for this test?

*d.f.* =

What is the p-value for this sample? (Report answer accurate to
four decimal places.)

p-value =

2)You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table.

X | Y | Z | |
---|---|---|---|

A | 20 | 17 | 38 |

B | 26 | 50 | 47 |

Give all answers rounded to **3 places after the decimal
point**, if necessary.

(a) Enter the **expected frequencies** below:

X | Y | Z | |
---|---|---|---|

A | |||

B |

(b) What is the chi-square **test-statistic** for
this data?

Test Statistic: χ2=χ2=

(c) What is the **critical value** for this test of
independence when using a significance level of αα = 0.10?

Critical Value: χ2=

Answer #1

1)

Applying chi square test:

relative | observed | Expected | residual | Chi square | |

category | frequency |
O_{i} |
E_{i}=total*p |
R^{2}_{i}=(O_{i}-E_{i})/√E_{i} |
R^{2}_{i}=(O_{i}-E_{i})^{2}/E_{i} |

Monday | 0.200 | 10 | 14.20 | -1.11 | 1.242 |

Tuesday | 0.200 | 13 | 14.20 | -0.32 | 0.101 |

Wednesday | 0.200 | 19 | 14.20 | 1.27 | 1.623 |

Thursday | 0.200 | 14 | 14.20 | -0.05 | 0.003 |

Friday | 0.200 | 15 | 14.20 | 0.21 | 0.045 |

total | 1.000 | 71 | 71 | 3.014 |

X^{2} =3.014

*d.f.* = 4

p-value = 0.5555

2)

a)

E_{i}=row total*column
total/grand total |
X | Y | Z |

A | 17.424 | 25.379 | 32.197 |

B | 28.576 | 41.621 | 52.803 |

b)

X^{2} =6.750

c)

Critical Value: χ2=4.605

Please show using TI-83 if possible
Employers want to know which days of the week employees are
absent in a five-day work week. Most employers would like to
believe that employees are absent equally during the week. Suppose
a random sample of 77 managers were asked on which day of the week
they had the highest number of employee absences. The results were
distributed as in Table. For the population of employees, do the
days for the highest number of...

Employers want to know which days of the week employees are
absent in a five-day work week. Most employers would like to
believe that employees are absent equally during the week. Suppose
a random sample of 60 managers were asked on which day of the week
they had the highest number of employee absences. The results were
distributed as in Table 11.6. For the population of employees, do
the days for the highest number of absences occur with equal
frequencies...

Employers want to know which days of the week employees are
absent in a five-day work week. Most employers would like to
believe that employees are absent equally during the week. Suppose
a random sample of 60 managers were asked on which day of the week
they had the highest number of employee absences. The results were
distributed as in the Table Below. Determine the Chi Square Test
Statistic.Please explain how you derived the answer. please
explain
Mon
Tues
Wed...

Employers particularly want to know which days of the week
employees are absent in a five-day work-week. Most employers would
like to believe that employees are absent equally during the week.
That is, the average number of times an employee is absent is the
same on Monday, Tuesday Wednesday, Thursday, or Friday. Suppose a
sample of 20 absent days was taken and the days absent were
distributed as follows:
Monday
Tuesday
Wednesday
Thursday
Friday
Number of Absences
5
4
2...

8. Teachers want to know which days of the week students are
absent in a five-day school week. The student absences for one
school week are listed in the table below. Use a
0.05 significance level to test the claim that student absences fit
a uniform distribution.
Monday Tuesday Wednesday Thursday Friday
Number of Absences
16
9
11
10 24
USE A 0.05 SIGNIFICANCE LEVEL TO TEST THE CLAIM:
H0 : All the proportions are the same claimed value. (generic...

Does it seem to you that people tend to be absent more on some
days of the week than on others? Recently, a major biotechnology
firm collected data with the hope of determining whether or not its
employees were more likely to be absent (due to personal reasons or
illness) on some weekdays than on others. The firm examined a
random sample of
100
employee absences.
The distribution of these
100
absences is shown in Table 1 below. The observed...

You are conducting a multinomial hypothesis test (αα = 0.05) for
the claim that all 5 categories are equally likely to be
selected.
Category
Observed
Frequency
A
14
B
19
C
11
D
8
E
21
What is the chi-square test-statistic for this data?
χ2=χ2=
What are the degrees of freedom for this test?
d.f. =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =

A group of researchers want to determine if incidents of drunk
driving are equally likely to occur on different days of the week
(fe = 0.143). They collect data on drunk
driving arrests and calculate frequencies for each day of the week.
They collected data from 406 incidents overall. They observed the
following frequencies: Sunday (24), Monday (59), Tuesday (46),
Wednesday (37), Thursday (50), Friday (92), Saturday (98). Use a
one-variable chi-square analysis (where α = .001) to determine if...

A police department released the numbers of calls for the
different days of the week during the month ofOctober, as shown in
the table to the right. Use a
0.010.01
significance level to test the claim that the different days of
the week have the same frequencies of police calls. What is the
fundamental error with this analysis?
Day nbspDay
Sun
Mon
Tues
Wed
Thurs
Fri
Sat
FrequencyFrequency
153153
208208
226226
245245
179179
209209
234234
Determine the null and alternative...

A police department released the numbers of calls for the
different days of the week during the month of October, as shown
in the table to the right. Use a
0.010.01 how to solve the test statistic and p value on
calculator?
significance level to test the claim that the different days of
the week have the same frequencies of police calls. What is the
fundamental error with this analysis?
Day nbspDay
Sun
Mon
Tues
Wed
Thurs
Fri
Sat
FrequencyFrequency...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 48 minutes ago

asked 50 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago