Janine is an ambidextrous volleyball player. She is practicing “short serves” in

Question

Janine is an ambidextrous volleyball player. She is practicing “short serves” in volleyball because her team has an upcoming match against an opponent who does not pass short serves very well. Janine must land a majority of her “short serves” in bounds or her coach will not let her use her short serve in the upcoming match. When serving left-handed Janine makes 23 out of 30 serves. In order to discern whether or not Janine can land a majority of her short serves in bounds, we will employ the 3S strategy.

1) How many times did Janine land a short serve in bounds and out of how many service attempts?

26 out of 30 attempts

21 out of 30 attempts

15 out of 30 attempts

23 out of 30 attempts

2)Use the One Proportion applet to simulate 1000 repetitions of Janine serving 30 right-handed short serves. If she is doing so randomly and the probability of success is 0.5, where is the distribution centered?

This distribution is centered at 22.

This distribution is centered at 18.

This distribution is centered at 15.

This distribution is centered at 23.

3)Based on the statistic that Janine lands a short serve 23 out of 30 attempts, the chance model is wrong.

True

False

4)Based on the context, select the best conclusions about the research question of whether the data provide convincing evidence that Janine can get her short serve in with her left hand more than 50% of the time.

We have little evidence that Janine can land the majority of her serves in bounds.

We no evidence that Janine can land the majority of her serves in bounds.

We have weak evidence that Janine can land the majority of her serves in bounds.

We have strong evidence that Janine can land the majority of her serves in bounds.

6)The results are statistically significant because we have strong evidence that the chance model is

correct

incorrect

26 out of 30 attempts

Explanation / Answer

1) Answer is 23 out of 30 attempts as given in the text.

2) Answer is 15.

Let, X be the number of short serves out of 30 attempts.

Given the probablity of success is 0.5

Clearly, X~ Binomial(30,0.5)

Thus the distibution of X is centred around E(X)=30X0.5=15

3) The answer is FALSE. i.e. the model is true.

Since the sample proportion is greater than 0.5 it is expected that the model is true.

4) The answer is We have strong evidence that Janine can land the majority of her serves in bounds.

Since the model is true we have evidence that the success probability is more than 0.5 and hence the answer.

6) The answer is correct.

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