5. In a survey, 8236 out of 9858 doctors recommend aspirin for for their patients with headaches. Let р denote the percentage of doctors who would recommend aspirin for their patients with headache. (a) Construct a 95% confidence interval for p based on the sample information. (b) It has been claimed that 9 out of 10 doctors recommend aspirin for their patients with headaches. Is this claim accurate? Perform a statistical test at the significance level a = 0.05.

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