Statistical Analysis and Hypothesis Testing in Public Health and Consumer Advocacy

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Statistical Analysis and Hypothesis Testing in Public Health and Consumer Advocacy Answer: Here the null hypothesis H 0 : P 1 =P 2 against the alternative H 1 : P 1 ≠ P 2 where P 1 and P 2 are the proportion of A consumer advocacy group and B consumer advocacy group. In the question there is given that for A consumer group: Sample size n 1 =400 and x 1 =53 therefore sample proportion p 1 =53/400=0.1325 For the B consumer advocacy group: Sample size n 2 =500 and x 2 =78 therefore sample proportion p 2 =78/500=0.156. Since the sample size n=n 1 +n 2 =400+500=900>30 therefore the test will be Z test and the test statistics will be Z= 𝑝 1 − 𝑝 2 − 𝑃 1 − 𝑃 2 √ ( 𝑝 1 ( 1 − 𝑝 1 ) 𝑛 1 + 𝑝 2 ( 1 − 𝑝 2 ) 𝑛 2 ) Under the null hypothesis the test result as follows: The Minitab result as follows: Sample X N Sample p 1 53 400 0.132500 2 78 500 0.156000
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