A hospital’s quality standard requires that 99.7 percent (0.997) of the syringes received from their supplier must be non-defective. In a shipment of 3,500 syringes to the hospital from a supplier, 14 were defective. At 5 percent level of significance (α = .05), is there sufficient evidence to reject future shipments from this supplier? Assume that the distribution of syringes is normally distributed. Use the format of questions below, (i) to (vi) to answer this question. (i) State the null and alternative hypotheses. (ii) Compute the appropriate test statistic. (iii) Determine the p-value. (iv) What is the critical value? (v) What is the statistical decision? (That is, reject H0 or fail to reject H0). Also state the criterion your decision is based on. (vi) What is your conclusion?
A hospital’s quality standard requires that 99.7 percent (0.997) of the syringes received from their supplier must be non-defective. In a shipment of 3,500 syringes to the hospital from a supplier, 14 were defective. At 5 percent level of significance (α = .05), is there sufficient evidence to reject future shipments from this supplier? Assume that the distribution of syringes is
(i) State the null and alternative hypotheses.
(ii) Compute the appropriate test statistic.
(iii) Determine the p-value.
(iv) What is the critical value?
(v) What is the statistical decision? (That is, reject H0 or fail to reject H0). Also state the criterion your decision is based on.
(vi) What is your conclusion?
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