A new treatment for a severe allergy is claimed to have a better cure rate than the standard of care, which has 60% of cure rate. A random sample of 50 patients, suffering from allergy, are given the new treatment and as a result 34 are cured. a) Is the claim valid for a significance level of 0.05? Use p-value analysis. b) If you conclude that the claim is not valid,     i) what would be the required sample size to support the claim?     ii) otherwise, what would be the required sample size to unsupport the        claim     For the analysis in part b assume that the percentage change in n and          number of cured patients are exactly the same, i.e. if n is doubled, that is      n = 100, than number of cured people will also be doubled, i.e. 68 etc.)

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A new treatment for a severe allergy is claimed to have a better cure rate than the standard of care, which has 60% of cure rate. A random sample of 50 patients, suffering from allergy, are given the new treatment and as a result 34 are cured.
a) Is the claim valid for a significance level of 0.05? Use p-value analysis.
b) If you conclude that the claim is not valid,
    i) what would be the required sample size to support the claim?
    ii) otherwise, what would be the required sample size to unsupport the        claim
    For the analysis in part b assume that the percentage change in n and          number of cured patients are exactly the same, i.e. if n is doubled, that is      n = 100, than number of cured people will also be doubled, i.e. 68 etc.)

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