4. The following information is obtained concerning an investigation of 50 mobile user: Sex Male Female Total Light user 17 18 35 Heavy user 3 12 15 Total 20 30 50 (Use 95 % Confidence level for hypothesis testing) a) Develop the null hypothesis and alternative hypothesis d. Can it be inferred that females are relatively heavy users of mobile phone? c. Curve? d. Summary
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- 4) The trade magazine QSR routinely checks the drive-through service times of fast-food restaurants. A 90% confidence interval that results from examing 607 customers in Taco Bell's drive-through has a lower bound of 161.6 seconds and an upper bound of 164.7 seconds. What does this mean?A research report on a prospective study states that: “A comparison of the 90 normal patients with the 50 patients with hypotension shows that only 3.33% of the former group died as compared to 30% of the latter.” Put these data into a 2x2 contingency table. E- Hypotension Healthy Total Death 15 3 18 No death 35 87 122 Total 50 90 140 Calculate the sample risk difference, construct a 95% confidence interval, and provide an interpretation. Calculate the sample relative risk, construct a 95% confidence interval, and provide an interpretation. Calculate the sample odds ratio, construct a 95% confidence interval, and provide an interpretation. Test the significance of blood pressure as a prognostic sign using Pearson’s Chi-Squared Test. Be sure to provide the following: Define the parameter(s) of interest. State the null and alternative hypotheses. State the significance level. State what type of test you will perform…The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 8.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to:_____________ f. The correct summary would be: ____________ that the true proportion of people in that city suffering from depression or a…
- The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 8.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? H0: H1: b.) Based on the hypotheses, find the following: c.) Test Statistic = d.) p-value = e.) Based on the above we choose to________________ f.) The correct summary would be:____________ that the true proportion of people in that city suffering from depression or a depressive illness is more than the percent in the general…The Okeechobee County Economic Development Board needs to estimate the proportion of all county residents who have earned at least a bachelor's degree. A random sample conducted by the Okeechobee County Economic Development Board found that 10.5% of all county residents held at least a bachelor's degree.Find three different confidence intervals - one with sample size 180, one with sample size 451, and one with sample size 621. Assume that 10.5% of the county residents in each sample have earned at least a bachelor's degree. Notice how the sample size affects the margin of error and the width of the interval.Report confidence interval solutions using interval notation. Report all solutions in percent form, rounded to two decimal places, if necessary. When n=180n=180, the margin of error for a 95% confidence interval is given by .When n=180n=180, a 95% confidence interval is given by . When n=451n=451, the margin of error for a 95% confidence interval is given by .When n=451n=451, a…Table 4 shows the selling price of three different brands of sanitizer at based on 4 randomly selected supermarkets. At 80% confidence level, can we conclude there is a significant difference in mean price of the three brands of sanitizer? Make your conclusion using the p- value approach, with the aid of Mic. Office EXCEL Table 4 Brand A (in RM) Brand B (in RM) Brand C (in RM) 10.00 12.00 9.80 9.50 11.50 10.40 10.00 10.40 10.30 11.10 11.00 10.80
- The St. Lucie County Economic Development Board needs to estimate the proportion of all county residents who have earned at least a bachelor's degree. A random sample conducted by the St. Lucie County Economic Development Board found that 19.3% of all county residents held at least a bachelor's degree.Find three different confidence intervals - one with sample size 254, one with sample size 478, and one with sample size 668. Assume that 19.3% of the county residents in each sample have earned at least a bachelor's degree. Notice how the sample size affects the margin of error and the width of the interval.Report confidence interval solutions using interval notation. Report all solutions in percent form, rounded to two decimal places, if necessary. When n=254, the margin of error for a 97% confidence interval is given by .When n=254, a 97% confidence interval is given by . When n=478, the margin of error for a 97% confidence interval is given by .When n=478, a 97% confidence interval…3. The following information is from the article College Students' Attitudes Toward UFOs, (College Student Journal, March 2009). In a random sample of 180 college students, 10 believed that aliens were responsible for building Stonehenge. Construct a 90% confidence interval for the true proportion of all college students who believe this. a) How many successes and failures are there in the sample? b) Are the new criteria for approximate normality satisfied? c) Compute the sample proportion, ?̂, of college students who believe that aliens are responsible for building Stonehenge.The following is based on information take from Winter Wind Studies in Rocky Mountain National Park, by D. E. Glidden of the Rocky Mountain Nature Association. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts in miles per hour for January and April are recorded below: WeatherStation January April 1 139 104 2 122 113 3 126 100 4 64 88 5 78 61 Perform a statistical test with 95% confidence to determine if there is a difference in the peak wind gusts between the two months and supply this information: (a) What is the value of the test statistic? (b) Find the probability of getting these results if there is no difference between the two months. (c) What is your conclusion? Is there evidence of a difference? Explain.
- 1. Ten students on a low-fat diet designed to lower their cholesterol and recorded their before and after diet data in the following table: Before diet cholesterol level After diet cholesterol level 140 140 220 230 110 120 240 220 200 190 180 150 190 200 360 300 280 300 260 240 Based on a 95% confidence level, after hypothesis testing, what would you tell the students about the diet? a.What is the p-value? b. Circle/highlight the correct decision about the null hypothesis: Reject H0 Fail to Reject H0 c. what are your conclusions?1. The following data represent the respective ages of 20 students pursuing graduate studies: 33 37 25 40 45 42 43 37 27 47 32 29 42 55 37 25 58 52 38 34 Using last row as your sample, compute sampling error Based on #1, what is the probability that your sample mean is between 39 & 43 If 27.5% of buyers preferred to use brand X, what is the probability that in a sample of 300 the proportion is between 28% & 32%? 4. Find the z-value for 85% confidence interval. Using #1 data & confidence interval in #4, determine the true mean of the population.A national opinion poll found that 44% of all American adults agree that parents should be given vouchers that can be applied toward their children's education at any public or private school of their choice. The result was based on a small sample. A)How large an SRS is required to obtain a margin of error of at most 0.03 in a 99% confidence interval? B) Answer the question in part A again but this time By using Phat=0.5. By how much do the two sample size differ?
