Statistical Analysis and Hypothesis Testing in Public Health and Consumer Advocacy

A research paper analyzing statistical methods in public health and consumer studies.

Alexander Wilson

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Statistical Analysis and Hypothesis Testing in Public Health and ConsumerAdvocacyAnswer:Here the null hypothesis H0: P1=P2against the alternative H1: P1≠P2where P1and P2are theproportion of A consumer advocacy group and B consumer advocacy group.In the question there is given that for A consumer group:Sample size n1=400 and x1=53 therefore sample proportion p1=53/400=0.1325For the B consumer advocacy group:Sample size n2=500 and x2=78 therefore sample proportion p2=78/500=0.156.Since the sample size n=n1+n2=400+500=900>30 therefore the test will be Z test and the teststatistics will be Z=𝑝1−𝑝2−𝑃1−𝑃2√(𝑝1(1−𝑝1)𝑛1+𝑝2(1−𝑝2)𝑛2)Under the null hypothesis the test result as follows:The Minitab result as follows:SampleXN Sample p153 400 0.132500278 500 0.156000

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