State the null hypothesis and alternative hypothesis ONLY

i) One of the major Malaysia tire makers wishes to review its warranty for their rainmaker tire. The warranty is for 40,000 kilometers. The tire company believes that the tire actually lasts more than 40,000 kilometers. A sample 49 tires revealed that the mean number of kilometers is 45,000 kilometers with a standard deviation of 15,000 kilometers. What is the null hypothesis and alternative hypothesis?

ii) It is claimed that in a bushel of peaches less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis and alternative hypothesis?

Question 2
CCTV and AATV provided a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed news, short features, and advertisements. The length of the program was based on the assumption that the population mean time a shopper stands in a supermarket checkout line is 8 minutes. A sample of actual waiting times will be used to test this assumption and determine whether actual mean waiting time differs from this standard.

|Formulate the hypotheses for this application | | |A sample of 120 shoppers showed a sample mean waiting time of 8.4 minutes. Assume a population standard | | |deviation (σ) = 3.2 minutes. What is the p-value? | | |At α = 0.05, what is your conclusion? | | | | |

Question 3

A cell phone manufacturer claims that its phone will last for more than 8 hours of continuous talk time when the battery is fully charged. To test this...

...Why We Don’t “Accept” the NullHypothesis
by Keith M. Bower, M.S. and James A. Colton, M.S.
Reprinted with permission from the American Society for Quality
When performing statistical hypothesis tests such as a one-sample t-test or the AndersonDarling test for normality, an investigator will either reject or fail to reject the nullhypothesis, based upon sampled data. Frequently, results in Six Sigma projects contain
the verbiage “accept the nullhypothesis,” which implies that the nullhypothesis has been
proven true. This article discusses why such a practice is incorrect, and why this issue is
more than a matter of semantics.
Overview of Hypothesis Testing
In a statistical hypothesis test, two hypotheses are evaluated: the null (H0) and the
alternative (H1). The nullhypothesis is assumed true until proven otherwise. If the
weight of evidence leads us to believe that the nullhypothesis is highly unlikely (based
upon probability theory), then we have a statistical basis upon which we may reject the
nullhypothesis.
A common misconception is that statistical hypothesis tests are designed to select the
more likely of two hypotheses. Rather, a test will stay with the null...

...Take Home Test 2
1. A. NullHypothesis: There are no relations or associations among the groups’ mean scores.
Alternate Hypothesis: There is a relation or association among the student’s grade point averages and “if they rather prefer to stay at home than go out with friends”.
Correlations |
| Grade Point Average | I would rather stay at home and read than go out with my friends |
Grade Point Average | Pearson Correlation | 1 | .233 |
| Sig. (2-tailed) | | .120 |
| Sum of Squares and Cross-products | 12.667 | 5.002 |
| Covariance | .281 | .111 |
| N | 46 | 46 |
I would rather stay at home and read than go out with my friends | Pearson Correlation | .233 | 1 |
| Sig. (2-tailed) | .120 | |
| Sum of Squares and Cross-products | 5.002 | 36.457 |
| Covariance | .111 | .810 |
| N | 46 | 46 |
Based on the results of our Correlate Bivariate we see that the significance value is more than the p-value of .05 which means that the groups have no relationship between them. The significance value is .120. This means that we are going to accept the NullHypothesis and reject the Alternate Hypothesis. “I would rather stay at home and read than go out with my friends” has no relationship with the persons GPA.
B. NullHypothesis: There is no relation or association between people who rarely forget their appointment if they have...

...of 1000 flights and proportions of three routes in the sample. He divides them into different sub-groups such as satisfaction, refreshments and departure time and then selects proportionally to highlight specific subgroup within the population. The reasons why Mr Kwok used this sampling method are that the cost per observation in the survey may be reduced and it also enables to increase the accuracy at a given cost.
TABLE 1: Data Summaries of Three Routes
Route 1
Route 2
Route 3
Normal(88.532,5.07943)
Normal(97.1033,5.04488)
Normal(107.15,5.15367)
Summary Statistics
Mean
88.532
Std Dev
5.0794269
Std Err Mean
0.2271589
Upper 95% Mean
88.978306
Lower 95% Mean
88.085694
N
500
Sum
44266
Summary Statistics
Mean
97.103333
Std Dev
5.0448811
Std Err Mean
0.2912663
Upper 95% Mean
97.676525
Lower 95% Mean
96.530142
N
300
Sum
29131
Summary Statistics
Mean
107.15
Std Dev
5.1536687
Std Err Mean
0.3644194
Upper 95% Mean
107.86862
Lower 95% Mean
106.43138
N
200
Sum
21430
From the table above, the total number of passengers for route 1 is 44,266, route 2 is 29,131 and route 3 is 21,430 and the total numbers of passengers for 3 routes are 94,827.
Although route 1 has the highest number of passengers and flights but it has the lowest means of passengers among the 3 routes. From...

...Hypothesis testing using the binomial distribution
Chapter assessment
1. Sweets called “Scruffies” are sold in packets of 18.
Scruffies come in a variety of colours, and market research shows that red is the most popular. Scruffies are packed randomly, and on average 25% are red.
(i) Find the probability that a packet contains no more than 6 red Scruffies. [2]
(ii) Find the probability that a packet contains exactly 4 red Scruffies. [2]
Because of a fault in the packing machine, one packet in ten now contains 19 Scruffies instead of 18.
(iii) Find the new probability that a randomly selected packet contains exactly 4 red Scruffies. [5]
In order to increase sales, the manufacturer claims to have increased the proportion of red Scruffies. Eric decides to test the manufacturer’s claim by purchasing a packet of Scruffies. (Assume that all packets now contain 18 Scruffies.)
(iv) The packet contains 8 red Scruffies. Does this support the manufacturer’s claim at the 5% significance level? Write down your hypotheses clearly and show your working in full. [6]
2. In a national survey, it was found that 40% of young people failed a standard fitness test.
A random sample of 30 young people is taken.
(i) Explain why, for such random samples, the mean number of those who failed the fitness test is 12. [1]
(ii) Find the probability of the mean number occurring. Explain how you would check whether the mean is...

...researcher desires an 80% power and a 95% confidence.
1. The determination of the sample size will be based on
a. estimation of a population mean
b. hypothesis testing between two proportions
c. estimation of a population mean
d. hypothesis testing between two means
RATIONALE: First, check muna if what they’re looking for is mean or proportions. I’m not really sure, but technique ko dyan, pag may mga decimal point, MEAN YUN. Mostly, ang mga MEAN cases ay yung mga blood pressure (systole, diastole). So in this case, you’re just comparing two drugs. Hence, proportions. Also, hypothesis palagi for sample size.
2. What is the nullhypothesis?
a. the cure rate in the new drug is not equal to the cure rate in Metronidazole
b. the cure rate in the new drug is better than the cure rate in Metronidazole
c. the cure rate in the new drug is equal to the cure rate in Metronidazole
d. the cure rate in the new drug is not better to the cure rate in Metronidazole
RATIONALE:
NullHypothesis (Ho) = no change/equal
Alternative Hypothesis (Ha) = with change/not equal
**PLEASE PLEASE PLEASE memorize!! Also, be careful with this. Always read the case first. The hypothesis will always depend on the case. Here kasi, they’re comparing the efficacy of 2 drugs to treat amoebiasis. Hence, ang NULL ay equal...

...The situation calls for theory testing
3. Which of the followings is NOT a qualitative data collection?
A. Questionnaire – based survey (quantitative)
B. In-depth interview
C. Analysis of texts
D. Participant observation
4. Which format can a questionnaire – based survey take?
A. interview format
B. respondent-completing format
C. c. observation format
D. A & B
Week 7
1. Which of the following does NOT fit a qualitative approach to research?
A. Standardised
B. Open-ended
C. Iterative
D. Uses multiple sources of evidence
2. Which of the following describes qualitative research?
A. Concepts are in the form of distinct variables
B. Concepts are in the form of themes, motifs, generalisations and taxonomies
C. Tests hypothesis that the researcher begins with
D. Data are in the form of numbers or precise measurements
3. Which of the following is NOT a qualitative sampling technique?
A. Snowballing
B. Convenience
C. Theoretical
D. Random
4. Which of the following is NOT a qualitative method or approach?
A. Interviews
B. Focus groups
C. Participant observation
D. Surveys
5. What is a focus group?
A small number of individuals
6. Which of the following is NOT a quantitative method?
A. Participant observation
B. Content Analysis
C. experiments
D. questionnaires
7. What is a sample?
A subset of a population
8. Does quantitative research have to be generalizable?
A. Yes
B. No
9. What is a population in a research study?...

...Statistics for Business Intelligence – Hypothesis Testing
Index:
1. What is Hypothesis testing in Business Intelligence terms?
2. Define - “Statistical Hypothesis Testing” – “Inferences in Business” – and “Predictive Analysis”
3. Importance of Hypothesis Testing in Business with Examples
4. Statistical Methods to perform Hypothesis Testing in Business Intelligence
5. Identify Statistical variables required to compute Hypothesis testing.
a. Correlate computing those variables from the data available in normalized tables arranged in row x columns.
6. Computing Statistical Hypothesis Testing for Business Decisions using Algorithms
7. User Interface Development for Presentation of Hypothesis feature
8. How does it fit in Prajna?
1. What is Hypothesis testing in Business Intelligence?
Hypothesis Testing – is used to prove or disprove the research (Business proposed decision) hypothesis by providing more measurable or concrete hypothesis statement. for example, a research hypothesis could be that the stock market index reflects the state of monsoon in the country. A statistical hypothesis might look at the values of the index with the percentage increase or decrease in rainfall during the year compared to previous...

...Hypothesis Testing Paper
Previously a group of friends compared the average temperature for the 15 days in each of the 2004 and 2005 Christmas holiday pubic school vacations to determine which holiday was colder. Secondary research retrieved from the National Oceanic and Atmospheric Administration's (NOAA) National Weather Service website provided climatic data on a daily basis for each day of the periods under investigation. Daily average temperature for each of the 15-day holiday vacation periods were gathered as two samples. The friends established a nullhypothesis that the Christmas holiday vacation period of 2004 was colder than that of the 2005 Christmas holiday vacation period. After the completion of a five-step hypothesis test using a t-test, the nullhypothesis was accepted. The acceptance of this nullhypothesis led to further discussion on the comparison of the two periods.
The suggestion arose that perhaps the 2004 holiday vacation was colder in part due a higher occurrence of weather changes. The friends agreed that the arrival of colder winter weather always seemed to follow a period of increased winds. A new hypothesis that the colder 2004 Christmas vacation period was windier than that of 2005 was developed. The friends researched the wind speed of the holiday periods and implemented the five-step process for...

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