Question

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 statistic. (Give your answer correct to two
decimal places.)

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

________< *p* < ____________

(iii) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence of a
difference from the expected proportions.

Reject the null hypothesis, there is not significant evidence of a difference from the expected proportions.

Fail to reject the null hypothesis, there is significant evidence of a difference from the expected proportions

Fail to reject the null hypothesis, there is not significant evidence of a difference from the expected proportions.

Answer #1

A large supermarket carries four qualities of ground beef.
Customers are believed to purchase these four varieties with
probabilities of 0.06, 0.29, 0.18, and 0.47, respectively, from the
least to most expensive variety. A sample of 517 purchases resulted
in sales of 40, 147, 85, and 245 of the respective qualities. Does
this sample contradict the expected proportions? Use α =
.05.
(a) Find the test statistic. (Give your answer correct to two
decimal places.)
(ii) Find the p-value. (Give...

A large supermarket carries four qualities of ground beef.
Customers are believed to purchase these four varieties with
probabilities of 0.11, 0.24, 0.17, and 0.48, respectively, from the
least to most expensive variety. A sample of 520 purchases resulted
in sales of 49, 145, 73, and 253 of the respective qualities. Does
this sample contradict the expected proportions? Use α =
0.05.
(a) Find the test statistic. (Round your answer to two decimal
places.)
(ii) Find the p-value. (Round your...

A large supermarket carries four qualities of ground beef.
Customers are believed to purchase these four varieties with
probabilities of 0.09, 0.27, 0.13, and 0.51, respectively, from the
least to most expensive variety. A sample of 518 purchases resulted
in sales of 44, 150, 83, and 241 of the respective qualities. Does
this sample contradict the expected proportions? Use α =
0.05.
(a) Find the test statistic. (Round your answer to two decimal
places.)
(ii) Find the p-value. (Round your...

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
4
5
11
3
5
4
9
3
3
3
12
4
6
5
11
10
(a) Find the test statistic....

A new operator was recently assigned to a crew of workers who
perform a certain job. From the records of the number of units of
work completed by each worker each day last month, a sample of size
five was randomly selected for each of the two experienced workers
and the new worker. At the α = .05 level of significance,
does the evidence provide sufficient reason to reject the claim
that there is no difference in the amount of...

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....

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...

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...

Forty-one small lots of experimental product were manufactured
and tested for the occurrence of a particular indication that is
attribute in nature yet causes rejection of the part. Thirty-one
lots were made using one particular processing method, and ten lots
were made using yet a second processing method. Each lot was
equally sampled (n = 33) for the presence of this
indication. In practice, optimal processing conditions show little
or no occurrence of the indication. Method 1, involving the ten...

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
86
86
95
90
91
Defective...

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