Question

You are conducting a study to see if the probability of catching the flu this year is significantly more than 86%. With the null hypothesis H₀: p ≤ 0.86, you obtain a test statistic of z = 1.752.

Answer 1

The p-value is the probability to the right tail of the test statistic in a standard normal distribution. In this case, the p-value is 0.0103. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the probability of catching the flu this year is significantly more than 86%.

Step-by-step explanation:

The subject of this question is Mathematics and it is suitable for High School level.

The p-value is the probability to the right tail of the test statistic in a standard normal distribution. In this case, the p-value is 0.0103. This means that if the null hypothesis is true, there is approximately a 1.03% probability that the estimated proportion p' is 0.53 or more. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the probability of catching the flu this year is significantly more than 86%.