Question

the manufacturer of the antihistamine seldane claimed that it did not cause drowsiness, unlike other antihistamines. during clinical testing, 9% of 800 seldane users reported drowsiness, while 8% of 650 placebo users reported drowsiness. using the 5% level of significance, test the claim that the population proportion of seldane users who experience drowsiness is less than or equal to the population proportion of placebo users who experience drowsiness.

Answer 1

To test the claim that the population proportion of Seldane users who experience drowsiness is less than or equal to the population proportion of placebo users who experience drowsiness, a hypothesis test for two proportions is conducted.

Step-by-step explanation:

To test the claim that the population proportion of Seldane users who experience drowsiness is less than or equal to the population proportion of placebo users who experience drowsiness, we use a hypothesis test for two proportions.

The null hypothesis is that the population proportion of Seldane users who experience drowsiness is greater than or equal to the population proportion of placebo users who experience drowsiness. The alternative hypothesis is that the population proportion of Seldane users who experience drowsiness is less than the population proportion of placebo users who experience drowsiness.

Using the given data, we can calculate the test statistic and p-value. From the test statistic and p-value, we can make a conclusion about the claim. If the p-value is less than the significance level (5%), we would reject the null hypothesis and conclude that there is evidence to support the claim.