Question
1)You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than
1)You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.83. You use a significance level of =0.002. h0 :p =0.83
h1:p<0.83 You obtain a sample of size =488 in which there are 381 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)
2)You wish to test the following claim (ha) at a significance level of a=0.05. h0:u=90.8 ha:u90.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n=71 mean: m=93.4 standard deviation: sd=7.4. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is...
3)Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 62 stocks traded on the NYSE that day showed that 25 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of =0.01. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
4)You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.49. You use a significance level of =0.001. 0:=0.49 1:0.49 You obtain a sample of size =222 in which there are 102 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
5)Based on a sample of 75 people, the sample mean GPA was 2.48 with a standard deviation of 0.06 The p-value is: (to 2 decimals)
6)It is commonly believed that the mean body temperature of a healthy adult is 98.6. You are not entirely convinced. You believe that it is not 98.6. You collected data using 35 healthy people and found that they had a mean body temperature of 98.22 with a standard deviation of 1.2. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is < 98.6. a) Identify the null and alternative hypotheses? 0: ? p = p p < p > = < > : ? p = p p < p > = < >
c)Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to 3 decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to 3 decimal places. 7)Based on a sample of 32 people, the sample mean GPA was 2.98 with a standard deviation of 0.1 The p-value is: (to 3 decimals) The significance level is: (to 2 decimals)
8)You wish to test the following claim () at a significance level of =0.03. :=62.1 :<62.1 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: =66 mean: =60.5 standard deviation: =9.7. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is...
9)Suppose that 20% of all voters prefer Candidate A. If 10 people are chosen at random for a poll, what is the probability that exactly 8 of them favor Candidate A?
10)You wish to test the following claim () at a significance level of =0.05. :=61.3 :<61.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:
data |
---|
56.2 |
62.2 |
55.9 |
49.4 |
58.8 |
What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) test statistic = What is the P-value for this sample? (Report answer accurate to 3 decimal places.) P-value =
11)The Jones family was one of the first to come to the U.S. They had 7 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had: at least 5 girls? at most 3 girls?
12)You wish to test the following claim () at a significance level of =0.005. :=57.7 :>57.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size =13 with mean =70.6 and a standard deviation of =15.5. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
13)Express the confidence interval 22.7%4.5% in the form of a trilinear inequality. % << %
14)Express the confidence interval 12.3%5.8% in interval form. Express the answer in decimal format (do not enter as percents).Question HelpQuestion 3
15)Express the confidence interval (114.4,303.2) in the form of . =
16)Express the confidence interval 407.4142.9 in the form of a trainer inequality. <<
17)Express the confidence interval (33.7%,47.7%) in the form of ^. % %
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