Running heart rate - Jose is a physician who is researching to what extent running affects heart rate in 18-25 year-olds. He believes that less than50% of 18-25 year-olds will experience a heart rate of more than 120 beats per minute (bpm) after running a mile.Jose recruits a random sample of 252 people between the ages of 18 and 25 to run a mile and records their heart rate. He finds that 98 have a heartrate of more than 120 bpm.Round all calculated answers to 4 decimal places.1. Correctly state the null and alternative hypotheses.Ho :p ? -HA:P ?2 If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions forthis hypothesis tent?OA 20OB. 98OC. 10OD. 25OE None of the above3. Calculate the test statistic for this hypothesis test.4. Calculate the p-value.5. Which of the statements below are correct interpretations of the p-value? You should choose all that are correct interpretationsDA. The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true.OB. The p-value is the probability that the null hypothesis is true.DC. This p-value suggests that based on this sample there is strong evidence that the nul model is not compatible with the data.OD. This p-value suggests that based on this sample there is extremely strong evidence that the null model is not compatible with the data.DE. If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the nulldistribution.OF The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 700.1. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 45 high-income individuals and found the sample mean credit score to be 713.4 with a standard deviation of 84.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) e%3D Make a conclusion regarding the hypothesis. the null hypothesis. There…
Show the impact of sample size on power?
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When does Two Related Samples occur?

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