Question

An allergy drug has been tested and was found to give relief to 65% of patients...

An allergy drug has been tested and was found to give relief to 65% of patients back in 2016. Now the pharmaceutical manufacturer wants to see if the new, improved version of the this allergy drug works even better. A random sample of 860 allergy sufferers was obtained and a clinical trial was conducted. At the end of the trial 578 of the 860 patients stated that they new, improved version of this allergy drug provided relief from their allergy symptoms. Is there sufficient evidence at at 0.05 level of significance for the pharmaceutical company to claim that the new, improved version of this allergy drug works better than the previous version. State if the variable is categorical or quantitative.Are the validity conditions met?What is the observed statistic?What is the null and alternative hypothesis?What is the test statistic? What is the p-value? Conclusion in context ? What type of error could you be making ?

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Answer #1

Quantitative.

Yes

One proportion Z test

Test stats

P-value = 2 p(z>1.35) = 0.1770

Conclusion- since, p value is greater than 0.05 , we have enough evidence to conclude that the there is no improvement.

Type 2 error , as we are fail to reject the null hypothesis.

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