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In Exercises 9鈥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 鈥淥nline Data鈥

Short Answer

Expert verified

The result of 59% of adults whowould erase all of their personal information online if they could seem significantly high.

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

Step by step solution

01

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.

02

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 could is greater than 50%.

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Most popular questions from this chapter

Testing Claims About Proportions. In Exercises 9鈥32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.

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In Exercises 9鈥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 8 鈥淧ulse Rates鈥

Final Conclusions. In Exercises 25鈥28, use a significance level of = 0.05 and use the given information for the following:

a. State a conclusion about the null hypothesis. (Reject H0or fail to reject H0.)

b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.

Original claim: The standard deviation of pulse rates of adult males is more than 11 bpm. The hypothesis test results in a P-value of 0.3045.

Finding P-values. In Exercises 5鈥8, either use technology to find the P-value or use Table A-3 to find a range of values for the P-value Body Temperatures The claim is that for 12 am body temperatures, the mean is <98.6F.The sample size is n = 4 and the test statistic is t = -2.503.

PowerFor a hypothesis test with a specified significance level , the probability of a type I error is, whereas the probability of a type II error depends on the particular value ofpthat is used as an alternative to the null hypothesis.

a.Using an alternative hypothesis ofp< 0.4, using a sample size ofn= 50, and assumingthat the true value ofpis 0.25, find the power of the test. See Exercise 34 鈥淐alculating Power鈥漣n Section 8-1. [Hint:Use the valuesp= 0.25 andpq/n= (0.25)(0.75)/50.]

b.Find the value of , the probability of making a type II error.

c.Given the conditions cited in part (a), find the power of the test. What does the power tell us about the effectiveness of the test?

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