Question

A sample of 200 individuals are tested for their blood type is given in the first table, and the results are used to test the hypothesized distribution of blood types. The observed results are given in the second table. At the .05 level of significance, is there sufficient evidence to show that the stated distribution is incorrect?

Blood Type | Â Â A Â Â | Â Â B Â Â | Â Â O Â Â | Â Â AB Â Â |

Percent | 0.4 | 0.08 | 0.4 | 0.12 |

Blood Type | Â Â A Â Â | Â Â B Â Â | Â Â O Â Â | Â Â AB Â Â |

Number | 68 | 15 | 87 | 30 |

(a) Find the test statistic. (Give your answer correct to two
decimal places.)

(ii) Find the *p*-value. (Give your answer bounds
exactly.)

< *p* <

(b) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence that the stated distribution is incorrect. Reject the null hypothesis, there is not significant evidence that the stated distribution is incorrect. Fail to reject the null hypothesis, there is significant evidence that the stated distribution is incorrect. Fail to reject the null hypothesis, there is not significant evidence that the stated distribution is incorrect.

Answer #1

(a) The test statistic is 3.98.

(ii) The p-value is 0.2642.

(b) Fail to reject the null hypothesis, there is not significant evidence that the stated distribution is incorrect.

observed | expected | O - E | (O - E)² / E |

68 | 80.000 | -12.000 | 1.800 |

15 | 16.000 | -1.000 | 0.063 |

87 | 80.000 | 7.000 | 0.613 |

30 | 24.000 | 6.000 | 1.500 |

200 | 200.000 | 0.000 | 3.975 |

3.98 | chi-square | ||

3 | df | ||

.2642 | p-value |

Please give me a thumbs-up if this helps you out. Thank you!

A sample of 200 individuals are tested for their blood type is
given in the first table, and the results are used to test the
hypothesized distribution of blood types. The observed results are
given in the second table. At the .05 level of significance, is
there sufficient evidence to show that the stated distribution is
incorrect?
Blood Type
A
B
O
AB
Percent
0.4
0.1
0.41
0.09
Blood Type
A
B
O
AB
Number
66
14
87
33
(a)...

1A) The manager of an assembly process wants to determine
whether or not the number of defective articles manufactured
depends on the day of the week the articles are produced. She
collected the following information. Is there sufficient evidence
to reject the hypothesis that the number of defective articles is
independent of the day of the week on which they are produced? Use
α = 0.05.
Day of Week
M
Tu
W
Th
F
Nondefective
95
95
93
94
88...

1A) The manager of an assembly process wants to determine
whether or not the number of defective articles manufactured
depends on the day of the week the articles are produced. She
collected the following information. Is there sufficient evidence
to reject the hypothesis that the number of defective articles is
independent of the day of the week on which they are produced? Use
α = 0.05.
Day of Week
M
Tu
W
Th
F
Nondefective
90
93
86
91
88...

A certain vending company's soft-drink dispensing machines are
supposed to serve 6 oz of beverage. Various machines were sampled,
and the resulting amounts of dispensed drink (in ounces) were
recorded, as shown in the following table. Does this sample
evidence provide sufficient reason to reject the null hypothesis
that all five machines dispense the same average amount of soft
drink? Use α = .01?
Machines
Â Â A Â Â
Â Â B Â Â
Â Â C Â Â...

The following blood-type frequencies were obtained from a sample
of 1000 subjects.
Blood Type:
O
A
B
AB
Total
Frequency:
465
394
96
45
1000
An appropriate hypothesis test is conducted to test whether the
data is consistent with the claim that in this population, blood
types O, A, B and AB have proportions 0.45, 0.4, 0.1, and 0.05,
respectively. The resultant test statistic and associated p-value
are 1.25 and 0.741 respectively.
The test statistic should be compared to which...

In the US, 46.9% of all people have type O blood, 39.1% have
type A blood, 10.3% have type B blood and 3.7% have type AB blood.
A researcher wants to see if the distribution of blood type is
different for millionaires. The table below shows the results of a
random sample of 2996 millionaires. What can be concluded at
the
α
= 0.01 significance level?
Complete the table by filling in the expected frequencies. Round
to the nearest whole...

A certain type of flower seed will produce magenta, chartreuse,
and ochre flowers in the ratio 6:3:1 (one flower per seed). A total
of 100 seeds are planted and all germinate, yielding the following
results.
Magenta
Chartreuse
Ochre
56
25
19
(a) If the null hypothesis (6:3:1) is true, what is the expected
number of magenta flowers?
(b) How many degrees of freedom are associated with
chi-square?
(c) Complete the hypothesis test using α = 0.10.
(i) Find the test...

A recent bulletin issued by a large blood bank claims four blood
types are distributed in the U.S. population according to the
following proportions:
.44 are type O
.42 are type A
.10 are type B
.04 are type AB
To determine whether blood types are distributed in the same way
in a population of AIDS patients, a random sample of 100 AIDS
patients is obtained. If the distribution of blood types is
different, something having to do with blood...

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
7
6
8
3
2
5
12
4
3
5
10
4
7
4
8
8
(a) Find the test statistic....

Recently there was a study interested in a relationship between
covid-19 and blood type. The following table outlines the data
gathered from a hospital in Wuhan used in the study. The patients
were separated by two variable, whether or not they were infected,
and their blood type. At = 0.01, test the hypothesis that the
variables are independent.
Infected
670
469
178
458
Not infected
1188
920
336
1250
Type of blood A B AB O
A. state the Ho...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 13 minutes ago

asked 33 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago