Question

A teacher claims that 55% of her statistics students have a strong understanding of inference for one proportion. To investigate this claim she randomly selects 25 of her 50 statistics students and provides them with an inference problem about one proportion. Of the 25 selected students, 14 demonstrate a strong understanding of inference for one proportion. The teacher would like to know if the data provide convincing evidence that more than 55% of her students have a strong understanding of this topic. Are the conditions for inference met?Yes, the conditions for inference are met.No, the 10% condition is not met.No, the Large Counts Condition is not met.No, the randomness condition is not met.

Answer 1

B: No, the 10% condition is not met.

Explanation:

Answer 2

Step 1

The total number of students is 50. The teacher wants to investigate her claim that 55% of her statistics students have a strong understanding of inference for one proportion.

Step 2

She selects 25 students to prove her claim. 14 students out of the 25 demonstrate a strong understanding. However, the 10% condition states that; Individual observations need to be independent. If sampling without replacement, our sample size shouldn't be more than 10% percent of the population.

The population is 50.