Question
A manager at a local discount gym believes that less than 20% of gym members use...
A manager at a local discount gym believes that less than 20% of gym members use the gym, at least 5 days a week. She randomly selects 100 gym members and tracks (using the electronic login system at the door) how many days they used the gym over the 2-week period. The following are the results:
| 2 | 3 | 10 | 4 | 2 | 3 | 8 | 4 | 8 | 10 |
| 5 | 0 | 6 | 3 | 9 | 13 | 6 | 3 | 12 | 5 |
| 3 | 3 | 5 | 1 | 5 | 9 | 8 | 5 | 8 | 2 |
| 6 | 4 | 4 | 2 | 12 | 1 | 3 | 3 | 2 | 12 |
| 7 | 3 | 14 | 2 | 8 | 5 | 2 | 6 | 1 | 5 |
| 6 | 9 | 6 | 8 | 10 | 1 | 11 | 3 | 2 | 1 |
| 5 | 4 | 1 | 2 | 3 | 13 | 7 | 4 | 8 | 3 |
| 7 | 4 | 3 | 2 | 10 | 3 | 1 | 7 | 11 | 8 |
| 4 | 7 | 6 | 7 | 8 | 11 | 7 | 6 | 3 | 2 |
| 5 | 0 | 4 | 6 | 5 | 12 | 2 | 10 | 1 | 2 |
Test the manager's claim at the 1% level of significance.
Round to two decimal places if necessary
a. Calculate the test statistic.
z =
b. Determine the critical value(s) for the hypothesis test.
c. Conclude whether to reject the null hypothesis or not based on the test statistic.
Reject
Fail to Reject
Cannot Use Normal Approximation to Binomial
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
A local gym is looking in to purchasing more exercise equipment and runs a survey to...
A local gym is looking in to purchasing more exercise
equipment and runs a survey to find out the preference in exercise
equipment amongst their members. They categorize the members based
on how frequently they use the gym each month – the results are
below. Run an independence test at the 0.01 level of
significance.
Free Weights
Weight Machines
Endurance Machines
Aerobics Equipment
0-10 Uses
12
17
25
13
11-30 Uses
20
18
9
9
31+ Uses
26
12
11...
Test the hypothesis that most cereals have nine or less grams of SUGAR per serving. Use...
Test the hypothesis that most cereals have nine or less grams of
SUGAR per serving. Use the attached cereal sample and a
significance level of .05
Sugars
6
8
5
0
8
10
14
8
6
5
12
1
9
7
13
3
2
12
13
7
0
3
10
5
13
11
7
10
12
11
10
6
9
3
13
7
10
14
0
0
The table below presents three samples of data. Please conduct a test for the equality of...
The table below presents three samples of data. Please conduct a
test for the equality of the three population means with 90%
confidence.
Sample
1
Sample
2
Sample
3
7
11
6
5
8
5
7
11
4
6
7
5
6
13
14
6
13
5
6
12
5
6
11
6
8
8
8
9
7
6
7
6
14
9
7
4
8
8
8
8
9
13
9
6
10
8
11
14
8
9
14...
Two faculty members ranked 12 candidates for scholarships. Calculate the Spearman rank-correlation coefficient and test it...
Two faculty members ranked 12 candidates for scholarships.
Calculate the Spearman rank-correlation coefficient and test it for
significance. Use a .02 level of significance. Candidate 1 2 3 4 5
6 7 8 9 10 11 12
Rank by Professor A 6 10 2 1 5 11 4 3 7 12 9 8
Rank by Professor B 5 11 6 3 4 12 2 1 7 10 8 9
The P-value for testing the significance of rank-correlation
is
The Spearman...
Using the methods in Section 11.1, test the hypothesis (α = 0.05) that the population proportions...
Using the methods in Section 11.1, test the hypothesis (α =
0.05) that the population proportions of red and brown are equal
(pred = pbrown). You are testing if their proportions are equal to
one another. NOTE: These are NOT independent samples, but we will
use this approach anyway to practice the method. This also means
that n1 and n2 will both be the total number of candies in all the
bags. The “x” values for red and brown are...
Bag Blue Orange Green Yellow Red Brown Total Number of Candies 1 7 23 9 11...
Bag
Blue
Orange
Green
Yellow
Red
Brown
Total Number of Candies
1
7
23
9
11
4
6
60
2
16
16
4
7
9
4
56
3
14
14
3
10
5
11
57
4
13
14
7
8
8
6
56
5
18
12
7
10
5
7
59
6
12
9
11
9
8
8
57
7
15
16
6
6
6
8
57
8
15
17
8
4
6
7
57
9
12
14
10
5...
The table below presents three samples of data. If we conduct a hypothesis test for the...
The table below presents three samples of data. If we conduct a
hypothesis test for the equality of all three means with the
statistical confidence of 90%, what would the value of the Mean
Squares Between Groups be?
Sample 1
Sample
2
Sample
3
7
11
6
5
8
5
7
11
4
6
7
5
6
13
14
6
13
5
6
12
5
6
11
6
8
8
8
9
7
6
7
6
14
9
7
4...
I need a breakdown to perform in excel for numbers 7,8,9. I am unsure of how...
I need a breakdown to perform in excel for numbers 7,8,9. I am
unsure of how I calculate the times. heres the data set and the
questions.
Calculate the probability that a flight will depart early or on
time.
Calculate the probability that a flight will arrive late.
Calculate the probability that a flight departs late or arrives
early.
DEP_Delay
ARR_Delay
-4
0
-3
-3
0
-5
-7
-1
8
3
-1
-5
3
8
11
6
-6
0
-5...
Bimble now serving as the general manager at a large chain of furniture stores, believes that...
Bimble now serving as the general manager at a large chain of
furniture stores, believes that the experience is a crucial factor
in determining the level of success of a salesperson. To examine
this belief, Bimble recorded the last month's sales (in $1,000s)
and the years of expeirence of 15 randomly selected
salespeople.
Salesperson
Years of Experience
Sales
1
5
12
2
1
5
3
13
20
4
10
23
5
8
14
6
0
7
7
2
9
8...
PAIRED SAMPLES T TEST A Corporation Psychologist believes that exercise affects self-image. To investigate this probability,...
PAIRED SAMPLES T TEST A Corporation Psychologist believes that
exercise affects self-image. To investigate this probability, 14
employees of the corporation are randomly selected to participate
in a jogging program. Before beginning the program, they are given
a questionnaire that measures self-image. Then they begin the
jogging program. They jogged 4 days a week for 20 minutes. Each
employee’s self-image is measured again after two months on the
program. The results are as follows: the higher the score, the
higher...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 8 minutes ago
asked 14 minutes ago
asked 14 minutes ago
asked 21 minutes ago
asked 25 minutes ago
asked 26 minutes ago
asked 35 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago