Hospital Readmission A hospital readmission is an episode when a patient who has been discharged from a hospital is readmitted again within a certain period. Nationally the readmission rate for patients with pneumonia is 17 % . A hospital was interested in knowing whether their readmission rate for pneumonia was less than the national percentage. They found 11 patients out of 70 treated for pneumonia in a two-month period were readmitted. a. What is p ^ , the sample proportion of readmission? b. Write the null and alternative hypotheses. c. Find the value of the test statistic and explain it in context. d. The p-value associated with this test statistic is 0.39. Explain the meaning of the p-value in this context. Based on this result, does the p-value indicate the null hypothesis should be doubted?
Hospital Readmission A hospital readmission is an episode when a patient who has been discharged from a hospital is readmitted again within a certain period. Nationally the readmission rate for patients with pneumonia is 17 % . A hospital was interested in knowing whether their readmission rate for pneumonia was less than the national percentage. They found 11 patients out of 70 treated for pneumonia in a two-month period were readmitted. a. What is p ^ , the sample proportion of readmission? b. Write the null and alternative hypotheses. c. Find the value of the test statistic and explain it in context. d. The p-value associated with this test statistic is 0.39. Explain the meaning of the p-value in this context. Based on this result, does the p-value indicate the null hypothesis should be doubted?
Solution Summary: The author explains the null and alternative hypotheses for determining the readmission rate of the hospital.
Hospital Readmission A hospital readmission is an episode when a patient who has been discharged from a hospital is readmitted again within a certain period. Nationally the readmission rate for patients with pneumonia is
17
%
.
A hospital was interested in knowing whether their readmission rate for pneumonia was less than the national percentage. They found 11 patients out of 70 treated for pneumonia in a two-month period were readmitted.
a. What is
p
^
, the sample proportion of readmission?
b. Write the null and alternative hypotheses.
c. Find the value of the test statistic and explain it in context.
d. The p-value associated with this test statistic is
0.39.
Explain the meaning of the p-value in this context. Based on this result, does the p-value indicate the null hypothesis should be doubted?
The table available below shows the costs per mile (in cents) for a sample of automobiles. At a = 0.05, can you conclude that at least one mean
cost per mile is different from the others?
Click on the icon to view the data table.
Let Hss, HMS, HLS, Hsuv and Hмy represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDs, and minivans
respectively. What are the hypotheses for this test?
OA. Ho: Not all the means are equal.
Ha Hss HMS HLS HSUV HMV
B. Ho Hss HMS HLS HSUV = μMV
Ha: Hss *HMS *HLS*HSUV * HMV
C. Ho Hss HMS HLS HSUV =μMV
= =
H: Not all the means are equal.
D. Ho Hss HMS
HLS HSUV HMV
Ha Hss HMS
HLS =HSUV = HMV
Question: A company launches two different marketing campaigns to promote the same product in two different regions. After one month, the company collects the sales data (in units sold) from both regions to compare the effectiveness of the campaigns.
The company wants to determine whether there is a significant difference in the mean sales between the two regions. Perform a two sample T-test
You can provide your answer by inserting a text box and the answer must include:
Null hypothesis,
Alternative hypothesis,
Show answer (output table/summary table), and
Conclusion based on the P value.
(2 points = 0.5 x 4 Answers)
Each of these is worth 0.5 points. However, showing the calculation is must. If calculation is missing, the whole answer won't get any credit.
Binomial Prob. Question: A new teaching method claims to improve student engagement. A survey reveals that 60% of students find this method engaging. If 15 students are randomly selected, what is the probability that:
a) Exactly 9 students find the method engaging?b) At least 7 students find the method engaging?
(2 points = 1 x 2 answers)
Provide answers in the yellow cells
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License