Q1-9BSC - Elementary Statistics

Question

In Exercises 9–12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

 

Exercise 5 “Online Data”

Step-by-Step Solution

Answer

The result of 59% of adults who would erase all of their personal information online if they could seemsignificantly high.

 

There is sufficient evidence to support the claim that most adults would erase all of their personal information online if they could.

Step 1: Given information

Referring to Exercise 5 BSC, out of 565 randomly selected adults, 59% would erase all of their personal information online if they could.

Step 2: Conclusion

It is claimed that most adults would erase all of their personal information online if they could.

That is, \(p > 0.5\)

 

Since 59% is much higher than 50%, it appears to be unlikely to obtain a proportion of 59% in a sample when the true proportion is 50%.

 

Therefore, the result of 59% appears to be significantly high.

 

Thus, this suggests that there is evidence to support the given claim that the proportion of adults who would erase all of their personal information online if they couldis greater than 50%.