A food-frequency questionnaire is used to measure dietary intake. The respondent specifies the number of servings of various food items they consumed over the previous week. The dietary cholesterol is then quantified for each respondent. The researchers were interested in assessing if there was an association between dietary cholesterol intake and high blood pressure. In a large sample of individuals who had completed the questionnaire, 250 persons with a high dietary cholesterol intake (greater than 300 mg /day) were selected and 250 persons with a low dietary cholesterol intake (less than 300 mg/day) were selected. The 500 selected participants had their medical history taken and were classified as having normal or high blood pressure. The data are given here. Dietary Cholesterol Blood Pressure Total High Low High 159 91 250 Low 78 172 250 Total 237 263 500 Two hypothesis tests can be used to answer this research problem. Test 1: Chi-Square test for independence Clearly state the null and alternative hypothesis Calculate the test statistic and p value. Show all your work for calculating the test statistic and probability statement for p-value. You may use MINITAB to get the final value of test statistic and p value and you must attach any MINITAB outputs) State the final conclusion at 5% significance level

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 food-frequency questionnaire is used to measure dietary intake. The respondent specifies the number of servings of various food items they consumed over the previous week. The dietary cholesterol is then quantified for each respondent. The researchers were interested in assessing if there was an association between dietary cholesterol intake and high blood pressure. In a large sample of individuals who had completed the questionnaire, 250 persons with a high dietary cholesterol intake (greater than 300 mg /day) were selected and 250 persons with a low dietary cholesterol intake (less than 300 mg/day) were selected. The 500 selected participants had their medical history taken and were classified as having normal or high blood pressure. The data are given here.

Dietary Cholesterol	Blood Pressure	Total
High	Low
High	159	91	250
Low	78	172	250
Total	237	263	500

Two hypothesis tests can be used to answer this research problem.

Test 1: Chi-Square test for independence

Clearly state the null and alternative hypothesis
Calculate the test statistic and p value. Show all your work for calculating the test statistic and probability statement for p-value. You may use MINITAB to get the final value of test statistic and p value and you must attach any MINITAB outputs)
State the final conclusion at 5% significance level

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