13. What is the correct decision in a hypothesis if the data produce a t-statistic that is in the critical region? a) Reject H, b) Fail to reject Ho c) Reject H, d) Fail to reject H1
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- 17% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 351 randomly selected students who receive financial aid, 74 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? a. test statistic b. p-value c. Thus, the final conclusion is that ... a. The data suggest the population proportion is not significantly different from 17% at αα = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 17%. b. The data suggest the population proportion is not significantly different from 17% at αα = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 17%. c. The data suggest the populaton proportion is significantly different from 17% at αα = 0.10, so there is sufficient evidence to conclude that the…Indicate whether CPAs in states that have flat state income tax rates work fewer hours per week during tax season compared to the US average. You will want to formally set up H0 and Ha, report either the test statistic (z-value) or p-value, and explain why you either reject or fail to reject your null hypothesis.A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 23%? (Round your answer to four decimal places.)
- The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. find the p value12% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 349 people from the inner city surveyed, 45 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05? Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 12% at αα = 0.05, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger than 12%. or The data suggest the population proportion is not significantly larger than 12% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 12%. or The data suggest the populaton proportion is significantly larger than 12% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of inner city…A heart study objective was to study heart disease among healthy volunteers.After a 10-year follow-up period involving men aged 40 to 59, there were 16 casesof coronary heart disease (CHD) among the 454 men who initially had cholesterollevels below 210 mg/100 ml (referred to as the low serum cholesterol group). Incontrast, among the 424 men whose initial cholesterol levels were at least 245mg/100 ml (referred to as the high serum cholesterol group), there were 51 cases ofCHD. With this information, Draw a 2x2 contingency table then calculate the relative risk (RR) associated with high serum cholesterol and provide an interpretation of the result.
- 8,8.3 - test startic/ t=? - P-value?Research done at the Harvard School of Public Health showed that regular soda drinkers may have a tendency toward the weak and brittle bones associated with osteoporosis. They surveyed 2,622 women who were active athletes in college and classified them as to whether they regularly drank soft drinks or rarely drank soft drinks. The proportion of women ineach group who suffered from bone fractures was determined. The findings: those who regularly drank soft drinks were twice as likely to suffer from bone fractures as those who rarely drank soft drinks. Source: Health and Fitness News Service, August 21, 1996. What was the response variable? What are some possible confounding variables in this study?A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…
- Discuss the assumptions for one-sampled t-test and why they are important.In a(n) ________ test, the null hypothesis should be rejected when the test value is in either of the two critical regions. Explain.Assume that the population consists of only these eleven data points for y and z. Construct one sample for y and one another sample for z by using 5 data points which gives the maximum variance.