Question

Use the given probability value to determine whether the sample results could easily occur by​ chance, then form a conclusion. A study of the effect of seatbelt use in​ head-on passenger car collisions found that drivers using a seatbelt had a​ 64.1% survival​ rate, while drivers not using a seatbelt had a​ 41.5% survival rate. If seatbelts have no effect on survival​ rate, there is less than a 0.0001 chance of getting these results. What do you​ conclude?

Answer 1

Answer:

As the P-value is very low, we can conclude that there is enough evidence to support the claim that the survival rate is significantly higher when the seatbelt is used.

Step-by-step explanation:

We have a hypothesis test that compares the survival rate using the seatbelt versus the survival rate not using it.

The claim is that the survival rate (proportion) is significantly higher when the seatbelt is used.

Then, the null hypothesis is that the seatbelts have no effect (both survival rates are not significantly different).

The P-value is the probabilty of the sample we have, given that the null hypothesis is true. In this case, this value is 0.0001.

This is very low, what gives enough evidence to claim that the survival rate is significantly higher when the seatbelt is used.