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Lindsey Zeller

Lindsey Z.

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A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5 with unknown variance. What is the critical value for the test statistic $T_{0}$ for the following significance levels? (a) $\alpha=0.01$ and $n=20$ (b) $\alpha=0.05$ and $n=12$ (c) $\alpha=0.10$ and $n=15$

A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5 with unknown variance. What is the critical value for the test statistic $T_{0}$ for the following significance levels? (a) $\alpha=0.01$ and $n=20$ (b) $\alpha=0.05$ and $n=12$ (c) $\alpha=0.10$ and $n=15$

Applied Statistics and Probability for Engineers

Tests of Hypotheses for a Single Sample

Tests on the Mean of a Normal…

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Vaccine Efficacy is one minus the relative risk. And we multiply this difference by one hundred in order to express this as a percentage. Suppose a new vaccine against an infectious disease has recently been tested in an RCT to protect against death. Of the 876 children randomly assigned to the new vaccine 175 died. And of the 1774 children assigned to the placebo 533 died. Determine the vaccine efficacy to the nearest hundredth of a percent.

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A new vaccine against an infectious disease has recently been tested in an RCT to protect against severe disease and death. Of the 876 children randomly assigned to the new vaccine 175 died of the 1774 children assigned to the placebo 533 died. The most appropriate statistic to report using these data is:

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A university student wishes to explore whether GENDER (man/woman/trans/non-binary) is associated with AGREEMENT (agree/disagree/neutral) to the existence of a social media platform that allows almost all forms of non-violent free speech with minimal content moderation to censure only the most egregious of posts. Of the 47 men polled 25 agreed and 10 were neutral. Of the 50 women polled 14 agreed and 5 were neutral. Of the 41 transgendered people polled 18 agreed and 4 were neutral. Of the 50 nonbinary people 6 agreed and 12 were neutral. The rest disagreed with such a platform being allowed to exist in our society. The student wishes to test the hypothesis of independence using the chi square test. How many degrees of freedom are there under the null hypothesis?

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A researcher testing a hypothesis concerning the population mean of a normal distribution inappropriately uses the z-test when the t test was actually the appropriate test.

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A movie production company shows a soon-to-be released movie to two test audiences where each audience gets a different ending. In one ending the protagonist gets the girl and lives happily ever after (Ending A); in the other the protagonist marries someone much prettier and nicer (Ending B). The company observed that 34 of the 51 subjects who viewed Ending A recommended the movie and 53 of the 74 subjects who viewed Ending B recommended the movie. Proposition One: There are a sufficient number of subjects so that the observed chi square score can be validly interpreted using a table of chi square percentiles. Proposition Two: The sample size criterion has been established.

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Pritesh Ranjan verified

Numerade educator

what is Sigma divided by the square root of the sample size ?

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Suppose a new infectious disease has just entered into public transmission. An epidemiologist has secured the medical records of 622 cases and 1309 controls. The epidemiologist wishes to estimate the odds ratio for a hypothesized exposure variable. When looking back into the records the epidemiologist discovers that of the cases 498 were exposed to the risk factor and of the controls 872 were exposed. Estimate the odds ratio to the nearest thousandth:

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A researcher wishes to test a hypothesis concerning the mean of a roughly symmetric numerical distribution with an approximately normal looking histogram. She wishes to invoke the central limit theorem to use t test on the scores. What would be her most defensible argument for invoking the central limit theorem?

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A certain math test with a total of 100 possible points has 120 equally weighted questions. How many points is each question worth rounded to the nearest hundredth of a point?

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Proving statistical hypotheses using standard inferential statistics is

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