Answer question regarding the binomial case study and grading rubric?

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Many retirement apartment communities have an emergency response team on the premises to
serve residents in need – 24 hours per day, seven days per week . A resident can make an
emergency call by pulling on any one of several wall cords located in bathrooms and other rooms
in the apartment. After pulling the cord, these teams are supposed to arrive at a resident’s
apartment within three minutes of a n emergency call for help or ambulance by the resident. The
community Manager has been asking some residents who have made emergency calls “how long
did it take for the emergency response team to arrive for you ?” Design a test of ten trials to
determine whether the emergency response team s either tend to arrive within 3 minutes, or tend
to take later than three minutes. Then, use 10 notional (dummy) emergency response times to
demonstrate your test at the 95% confidence level. Use these times to perform the calculations
and draw a mock conclusion. Assume that the design of your test will be tried b y the community
Manager if it is detailed enough.
1. Describe the test you are proposing. 3 pts.
Based on that design and a set of ten notional (dummy) numbers for demonstration purposes
only, answer the following.
2 . State the null hypothesis. 1 pt.
3 . State the alternative hypothesis. 1 pt.
4 . State the significance level. 1 pt.
5 . Perform the calculations ; include the notional data . 3 pts.
6 . Should the null hypothesis be accepted or rejected ? Answer only one. Describe what you
mean by “ accepted” or “rejected.” 3 pts.
Yes, because:
or
No, because:
Fast food restaurants seem to be increasing the portion size and caloric levels of their menu
items. Suppose a fast food chain has examined the orders of some of the customers taken
at random at lunch time, with the total caloric intake of their orders listed below
(hypothetically). Suppose that in 1975, the median caloric intake was 800 calories per
order. Is there sufficient evidence in this small sample to indicate whether it least seems
reasonable to pursue further the notion that the median caloric intake per lunch order has
increased since 1975. Test at a = .05.
1126
945
1802
859
973
889
255
778
1201
1001
a.
b.
c.
d.
e.
State the null hypothesis.
State the alternative hypothesis.
State the significance level.
Perform the calculations.
Should the null hypothesis be rejected? Answer only one.
Yes, because:
or
No, because:
1.
a. State the null hypothesis.
Ho: median of the current caloric intake equals 800.
b. State the alternative hypothesis.
Ha: median of the current caloric intake is greater than 800.
c. State the significance level.
a = .05
d. Perform the calculations.
Data
Sign
1126
Rank
Order
1802
945
1201
+
1802
1126
+
859
1001
+
973
973
+
889
945
+
255
889
+
778
859
+
1201
778
_
1001
255
_
+
e. Should the null hypothesis be rejected? Answer only one.
Yes, because:
or
No, because
:
There are 8 plus signs and 2 minus signs. The size of the tail is at n=10, with
P(0) = .0010, P(1) = .0098, and P(2) = .0440. This sum is .0548, which is larger than .05.
Therefore, conclude that there is not enough data to reject Ho:– so
fail to reject it at least at this stage of study.
…
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