Health officials are investigating the side effects after the first jab of a Covid vaccine among women. The side effects are defined as common side effects other than mild pain at the injection side. A random sample of women aged 31-40 years was selected from a list of vaccinated individuals. A telephone survey was used to enquire whether they experienced any of the side effects after the first jab.

Q9,10,11

Question 9 The health officials carried out a survey of 24 men aged 20-60 years. They believe that mean pain duration for men is less than that of women. Suppose u is the mean pain duration for men aged between 20-60 years who had the jab. To test this belief the health officials use 0 Ho:u=0vsH1:u19.6 Question 10 Based on their data, the health officials found a tstatistic to test the hypotheses in Question 9 of -O.891. The corresponding p-value is 0 0.1911 0.3822 0.7290 000 0.8089 Question 11 To reduce the probability of Type II error in the hypothesis test in Question 9, the health officials should 0 decrease the significance threshold 0 decrease the sample size 0 increase the sample size 0 decrease the power of the test