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) Find the critical value z/2 that corresponds to the confidence level 84%. z/2 =_____ 12.) A clinical trial tests a method designed to increase the...
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# 7.18.) Find the critical value zα/2 that corresponds to the confidence level 84​%. zα/2 =_____

12.) A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 546 babies were​ born, and 273 of them were girls. Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​ effective? ____<p<____

13.) A study of 420,002 cell phone users found that 140 of them developed cancer of the brain or nervous system. Prior to this study of cell phone​ use, the rate of such cancer was found to be 0.0331​% for those not using cell phones. Use the sample data to construct a 95​% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. __%<p<__%

14.) In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time college students who earn a​ bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.05 margin of error and use a confidence level of 99​%. Assume that nothing is known about the percentage to be estimated. n=____

15.) The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 95​% confident that his estimate is within eight percentage points of the true population​ percentage? Assume that nothing is known about the percentage of adults who have heard of the brand. n=___

8.1

11.) ​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random sample of 158 adult​ males, the mean pulse rate is 68.6 bpm and the standard deviation is 11.1 bpm. Find the value of the test statistic. The value of the test statistic is_____.

​(Round to two decimal places as​ needed.)

13.) The test statistic of z=2.47 is obtained when testing the claim that p>0.2. What is the p-value_____.

14.) The test statistic of z=2.33 is obtained when testing the claim that p≠0.186. What is the p-value_____.

15.) The test statistic of z=−3.04 is obtained when testing the claim that p<0.53.

Using a significance level of α=0.05​, find the critical​ value(s). The critical value(s) is______.

16.) The test statistic of z=−3.01 is obtained when testing the claim that p=1/2.

Using a significance level of α=0.10​, find the critical​ value(s)

18.) Identify the type I error and the type II error that corresponds to the given hypothesis.

The proportion of people who write with their left hand is equal to 0.29.

Which of the following is a type I​ error?

A.Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

B.Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

C.Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.

D.Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.

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