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Question: The mean systolic blood pressure for white males aged 35-44 in Canada is 127.09. A report said that the mean blood pressure of a sample of 59 diabetic males aged 35-44 is 128.04. A previous study showed that the standard deviation of systolic blood pressure for white males aged 35-44 in Canada is estimated to be 7.2. Let μ denote the true mean systolic blood pressure for diabetic males aged 35-44. H0: μ=127.09 versus H1: μ>127.09 What is the p -value
To calculate the p-value, we first need to calculate the test statistic z-score using the formula: z = (x̄ - μ) / (σ / √n) where x̄ is the sample mean (128.04), μ is the hypothesized population mean (127.09), σ is the population standard deviation (7.2), and n is the sample size (59). z = (128.04 - 127.09) / (7.2 / √59) = 1.049 Using a standard normal distribution table or calculator, we can find the area to the right of z=1.049 to be 0.1457. This corresponds to a p-value of 0.1457. Therefore, if we use a significance level of α=0.05, since the p-value (0.1457) is greater than α, we fail to reject the null hypothesis H0: μ=127.09. We do not have sufficient evidence to support the claim that the mean systolic blood pressure for diabetic males aged 35-44 is greater than 127.09.
March 26, 2023, 9:30 p.m.
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