A researcher is studying the blood type distribution in a remote community where it's believed 30% have type O blood, 50% have type A, 10% have type B, and 10% have type AB. A sample of 80 residents shows 20 with type O, 40 with type A, 12 with type B, and 8 with type AB. The goal is to determine if the observed data fit the hypothesized distribution using a significance level of \(\alpha = 0.05\).### Hypotheses**Null Hypothesis (\(H_0\)):**- \(p_O = 0.3\), \(p_A = 0.5\), \(p_B = 0.1\), \(p_{AB} = 0.1\)**Alternative Hypothesis (\(H_a\)):**- At least one of the proportions is different.### Observed Counts- **Type O:** 20- **Type A:** 40- **Type B:** 12- **Type AB:** 8### Expected Counts under Null Hypothesis- **Type O:** 24- **Type A:** 40- **Type B:** 8- **Type AB:** 8### Contributions to Test Statistic- **Type O:** 0.667- **Type A:** 0- **Type B:** - **Type AB:** 0 The structure and calculation of the test statistics involve comparing observed counts with expected counts based on hypothesized proportions and determining discrepancies.

Given, A researcher believes that among the residents of a remote community, 30% have type O blood,…

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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 researcher believes that among the type A blood, 10% have type B blood a residents and finds that 20 had type 0 blood. Do the data follow the hypothesized d your answers to three decimal places, Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB