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.The drug OxyContin (oxycodone) is used to treat pain, but it is dangerous because it is addictive and can be lethal. In clinical trials, 227 subjects were treated with OxyContin and 52 of them developed nausea (based on data from Purdue Pharma L.P.). Use a 0.05 significance level to test the claim that more than 20% of OxyContin users develop nausea. Does the rate of nausea appear to be too high?

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.The drug ELiquis (apixaban) is used to help prevent blood clots in certain patients. In clinical trials, among 5924 patients treated with Eliquis, 153 developed the adverse reaction of nausea (based on data from Bristol-Myers Squibb Co.). Use a 0.05 significance level to test the claim that 3% of ELiquis users develop nausea. Does nausea appear to be a problematic adverse reaction?

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.In a study of store checkout-scanners, 1234 items were checked for pricing accuracy; 20 checked items were found to be overcharges, and 1214 checked items were not overcharges (based on data from "UPC Scanner Pri cing Systems: Are They Accurate?" by Goodstein, Journal of Marketing, Vol. 58). Use a 0.05 significance level to test the claim that with scanners, l % of sales are overcharges. (Before scanners were used, the overcharge rate was estimated to be about 1 %.) Based on these results, do scanners appear to help consumers avoid overcharges?

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.Consider data from 100 M&Ms, and 27% of them are blue. The Mars candy company claims that the percentage of blue M&Ms is equal to 24%. Use a 0.05 significance level to test that claim. Should the Mars company take corrective action?

Use the given sample data and confidence level. Identify the value of the margin of error E. The drug Eliquis (apixaban) is used to help prevent blood clots in certain patients. In cljnical trials, among 5924 patients treated with Eliquis, 153 developed the adverse reaction of nausea (based on data from Bristol-Myers Squibb Co.). Construct a 99% confidence interval for the proportion of adverse reactions.

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. Assume that a simple random sample is selected from a normally distributed population. A simple random sample of birth weights of 30 girls has a standard deviation of 829.5 hg. Use a 0.01 significance level to test the claim that birth weights of girls have the same standard deviation as birth weights of boys, which is 660.2 hg.

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. Assume that a simple random sample is selected from a normally distributed population. A simple random sample of 153 men results in a standard deviation of 11 .3 beats per minute . The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute; see the accompanying StatCrunch data below for this test. What do the results indicate about the effectiveness of using the range rule of thumb with the "normal range" from 60 to 100 beats per minute for estimating CJ in this case?

$$\begin{matrix} \text{One sample variance hypothesis test:}\\ \text{$\sigma^2$: Variance of variable}\\ \text{$H_0 : \sigma^2$ = 100}\\ \text{$H_A : \sigma^2\ne$100}\\\\ \text{Hypothesis test results:}\\ \text{Variable} & \text{Sample Var.} & \text{DF} & \text{Chi-Square Stat} & \text{P-value}\\ \text{PULSE} & \text{128.40282} & \text{152} & \text{195.17229} & \text{0.0208}\\ \end{matrix}$$

Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of Clarinex-D, 5% of the patients in the study experienced insomnia as a side effect. A random sample of 20 Clarinex-D users is obtained, and the number of patients who experienced insomnia is recorded. (a) Find the probability that exactly 3 experienced insomnia as a side effect. (b) Find the probability that 3 or fewer experienced insomnia as a side effect. (c) Find the probability that between 1 and 4 patients inclusive, experienced insomnia as a side effect. (d) Would it be unusual to find 4 or more patients who experienced insomnia as a side effect? Why?

Use the data and confidence level to construct a confidence interval estimate of p, then address the given question. In clinical trials of the drug Lipitor (atorvastatin), 270 subjects were given a placebo and 7 of them had allergic reactions. Among 863 subjects treated with 10 mg of the drug, 8 experienced allergic reactions. Construct the two 95% confidence interval estimates of the percentages of allergic reactions. Compare the results. What do you conclude?

Use the Distributive Property to find the product.

$$1 \frac { 4 } { 5 } \times 15$$

Find $\mathbf { r } ^ { \prime } ( t ) \cdot \mathbf { r } ^ { \prime \prime } ( t )$ for $\mathbf { r } ( t ) = - 3 t ^ { 5 } \mathbf { i } + 5 t \mathbf { j } + 2 t ^ { 2 } \mathbf { k }$.

Use the data and confidence level to construct a confidence interval estimate of p, then address the given question. One of Mendel's famous genetics experiments yielded 580 peas, with 428 of them green and 152 yellow. Based on his theory of genetics, Mendel expected that 75% of the offspring peas would be green. Given that the percentage of offspring green peas is not 75%, do the results contradict Mendel 's theory? Why or why not?

Classify each of the following variables as qualitative or quantitative; if quantitative, as discrete or continuous. a) occupation b) region of residence c) weight d) height e) number of automobiles owned

Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and 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.

Adults were randomly selected for a Newsweek poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 481 were in favor, 401 were opposed, and 120 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 120 subjects who said that they were unsure, and use a $0.01$ significance level to test the claim that the proportion of subjects who respond in favor is equal to $0.5$. What does the result suggest about the politician's claim?