Hypothesis testing given population proportion
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1. A coin is tossed 1000 times and it lands on heads 543 times. Conduct a hypothesis test at 5% to test whether the coin is biased. *
1 point
2. A secondary school claims it admits equal numbers of males and females. The school has 650 student, of which 280 are male. At a 5% level of significance, test the schools claim to be true or not. *
1 point
3. A generic drug used to treat a particular condition has a success rate of 51%. A company is developing two new drugs, A and B, to treat the condition. They carried out clinical trials on two groups of 500 patients suffering from the condition. The results showed that Drug A was successful in the case of 296 patients. The company claims that Drug A is more successful in treating the condition than the generic drug. Use a hypothesis test at the 5% level of significance to decide whether there is sufficient evidence to justify the company’s claim. State the null hypothesis and state your conclusion clearly. *
1 point
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