5. An amusement park believes that 25% of attendees are under 12 years old, 20%

Question

5. An amusement park believes that 25% of attendees are under 12 years old, 20% are between 12 and 16 years old, 15% are between 16 and 24 years old, and 40% are over 24 years old. Which test statistic would be most appropriate to use in this hypothesis test? c) z= 6. An electronics company wants to demonstrate that its devices have longer average battery life than the next closest competitor. The two population standard deviations are assumed to be known. Which test statistic would be most appropriate to use in this hypothesis test? c) , n, In n. n 7. When is it appropriate to use the equation d± to estimate the difference between means? a) When each element of the sample is measured twice (for instance "before" and "after" data) b) When the two underlying populations are not normally distributed c) When the two standard deviations are identical d) When the two standard deviations are unknown e) None of the above 8. A 95% confidence interval for the difference between two proportions is {.02 to .35. What is the result of a test at 90% confidence of the null hypothesis: there is no difference between the two proportions? a) Reject the null hypothesis for this data at the given level of significance b) Fail to reject the null hypothesis for this data at the given level of significance c) This problem cannot be answered because the two levels of confidence are different d) This problem cannot be answered because there is no relationship between confidence intervals and hypothesis tests e) None of the above

Explanation / Answer

Ans:

5)Option b is correct(Chi square test)

6)Option e is correct.

7)Paired t test(dependent samples t test)

When each element of the sample is measure twice(before and after)

Option a is correct.

8)95% confidence interval is (0.02,0.35)

z value for 95% confidence interval is 1.96 and z value for 90% CI is 1.645

So,90% CI will be narrower than 95% CI,so it will not include 0(as 95% does not include)

So,we can reject null hypothesis for this data for given level of confidence.

Option a is correct.

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