Question

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 answer to four decimal
places.)

(b) State the appropriate conclusion.

Reject the null hypothesis. There is 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. Reject the null hypothesis. There is not 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 0.11, 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 0.06, 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 beef. Customers
are believed to purchase these four qualities with probabilities of
0.10, 0.30, 0.35, and 0.25, respectively, from the least to most
expensive. A sample of 500 purchases resulted in sales of 48, 162,
191, and 99 of respective qualities. Does this sample contradict
the expected proportions? Use a) α = 0.05 b) α =0.025

5. A large supermarket carries four qualities of beef. Customers
are believed to purchase these four qualities with probabilities of
0.10, 0.30, 0.35, and 0.25, respectively, from the least to most
expensive. A sample of 500 purchases resulted in sales of 48, 162,
191, and 99 of respective qualities. Does this sample contradict
the expected proportions? Use a) α = 0.05 b) α =0.025

The meat department of a local supermarket chain packages ground
beef in trays of two sizes. The smaller tray is intended to hold 1
kilogram (kg) of meat. A random sample of 40 packages in the
smaller meat tray produced weight measurements with an average of
1.01 kg and a standard deviation of 19 grams.
(a) If you were the quality control manager and wanted to make
sure that the average amount of ground beef was indeed 1 kg, what...

Skittles Original Fruit bite-size candies are multicolored
candies in a bag, and you can "Taste the Rainbow" with their five
colors and flavors: green, lime; purple, grape; yellow, lemon;
orange, orange; and red, strawberry. Unlike some of the other
multicolored candies available, Skittles claims that their five
colors are equally likely. In an attempt to reject this claim, a
4-oz bag of Skittles was purchased and the colors counted. Does
this sample contradict Skittle's claim at the .05 level?
Red...

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...

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....

In a survey of families in which both parents work, one of the
questions asked was, "Have you refused a job, promotion, or
transfer because it would mean less time with your family?" A total
of 200 men and 200 women were asked this question. "Yes" was the
response given by 26% of the men and 22% of the women. Based on
this survey, can we conclude that there is a difference in the
proportion of men and women responding...

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....

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