A store that sells televisions buys their televisions from a specific manufacturer. The manufacturer claims that only 2% of the televisions they sell have defects, but the manager at the store believes the percentage is actually higher. In the next shipment of 100 televisions, the manager finds that 5 of them are defective. Assume this shipment is a random selection of televisions from the manufacturer. She conducts a hypothesis test where H0: p = 0.02, and HA: p > 0.02 at the alpha = .05 level. She finds the P-value is 0.0162.

Select all that apply.

Select one or more:

a. 0.0162 is the probability of having at least 5 defective televisions in a shipment of 100 given that the true proportion of defective televisions is 0.02.

Since the P-value 0.0162 is less than 0.05, it is significant at that level, so we should reject the null hypothesis in favor of the alternative hypothesis.

b. 0.0162 is the probability that the true proportion of defective televisions is 0.02.

Since the P-value 0.0162 is not higher than 0.05, it is not significant at that level, so we fail to reject the null hypothesis.

c. 0.0162 is the probability of having at least 5 defective televisions in a shipment of 100 given that the true proportion of defective televisions is greater than 0.02.

d. 0.0162 is the probability of having exactly 5 defective televisions in a shipment of 100 given that the true proportion of defective televisions is 0.02.

e. 0.0162 is the probability of having exactly 5 defective televisions in a shipment of 100 given that the true proportion of defective televisions is greater than 0.02.