Final answer:
To calculate the expected number of Europeans in a conference of 150 people with a 67% probability, multiply 0.67 by 150, resulting in 100.5, which is approximately 100 Europeans.
Step-by-step explanation:
If the null hypothesis is that the probability of a European being selected into the club is 67%, we would expect 67% of the 150 people at the conference to be European. We calculate the expected number by multiplying the total number of people by the probability:
Expected number of Europeans = Probability of being European × Total number of people
Expected number of Europeans = 0.67 × 150
Expected number of Europeans = 100.5
Since we can't have half a person, we would expect approximately 100 Europeans in the conference if the null hypothesis is true.