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In: Math

(I) You may consider using function prop.test to perform the above hypothesis test. (II) Present complete...

(I) You may consider using function prop.test to perform the above hypothesis test.

(II) Present complete procedures of hypothesis testing for the above problem such as null hypothesis, alternative hypothesis, significance level, test statistics value, p-value etc..in your findings.

(III) State your conclusion clearly.

A cell-phone store sold 150 smartphones of Brand A and 14 of them returned as defective items. Besides that, the cell-phone store sold also 125 smartphones of Brand B and 15 phones of them retuned as defective items. Is there any statistical evidence that Brand A has a smaller chance of being returned than Brand B at:

(i) 1% significance level?

(ii) 5% significance level?

(iii) 10% significance level?

Justify your findings.

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