Hypothesis Tests

Question	Answer
It is known that 78% of patients recover from a disease without treatment. In a trial, 100 patients take a new drug and 85 recover. Jacob believes this provides evidence that the drug is effective...	Image: Capture (binary/octet-stream)
Party Z received 36% of the vote in the last general election. In a recent survey of 80 people, 25 indicated they would vote for Party Z. Does this provide evidence that support for the party has changed?	Image: Capture2 (binary/octet-stream)
Gavin has a six-sided die. He believes it shows more 5s than it should.	Image: Capture3 (binary/octet-stream)
Blood testosterone levels are normally distributed with mean 24nmol/L and standard deviation 6nmol/L. A sprinter gives two samples after a race with an average blood testosterone level of 34nmol/L. Does this provide evidence that their testosterone level is above the mean?	Image: Capture4 (binary/octet-stream)
The national mean score in Mathematics GCSE was 4.73 with standard deviation 1.21. A sample of 50 students from a particular school had mean 4.81. i) State two assumptions necessary to carry out a hypothesis test to see if the mean was higher in this school.	1. The standard deviation has not changed. 2. The sample was random. [NOT population normally distributed, as sample size is large enough for CLT.]
The national mean score in Mathematics GCSE was 4.73 with standard deviation 1.21. In a sample of 50 students from a particular school had mean 4.81. ii) State the hypotheses in a test to see if the mean was higher in this school.	Image: Capture5 (binary/octet-stream)
The correlation coefficient between the mass and height of students in a sample of six students was 0.85. State the hypotheses for a test of whether mass and height are positively correlated.	Image: Capture6 (binary/octet-stream)
The correlation coefficient between the amount of water used in a town and the temperature over a 30-day period is 0.85. Jane thinks there is a correlation between water used and temperature. State the null and alternative hypotheses she should use to test her suspicion.	Image: Capture8 (binary/octet-stream)
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Image: Capture27 (binary/octet-stream)	Independent (and no others)
Image: Capture28 (binary/octet-stream)	No effect. (Linear Scaling does not affect PMCC)
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Image: Capture37 (binary/octet-stream)	Underlying distribution not normal (and sample size is small). [To use the Wilcoxon signed-rank test you need to believe that the distribution is symmetrical and suspect its median value.]

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	Created by Donal OHara over 1 year ago