mathematics 1

1.  A researcher claims that 62% of voters favor gun control.  State the null hypothesis and the alternative hypothesis in words.

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2.  A researcher claims that 62% of voters favor gun control.  Identify the null hypothesis H0 and the alternative hypothesis H1 using p.

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3.  Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city.  Identify the type I error of the test. 

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4. A medical school claims that more than 28% of its students plan to go into general practice.  It is found that among a random sample of 130 students, 32% of them plan to go into general practice.  Find the p-value for a test of the school’s claim. 

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5. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither.  The sample data appear to come from a normally distributed population with σ = 28.

Claim:  μ = 977.

Sample data: n = 25, = 984, s = 25.  Explain.

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6.  Among those who file tax returns, less than one-half file than through an accountant or other tax professional.  A Fellowes survey of 1002 people who file tax returns showed that 48% of them file through an accountant or other tax professional.  Find the value of the test statistic.

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7.  In a sample of 100 M&M’s, it is found that 8% are brown. Use a 0.05 significance level to test the claim that of the Mars candy company that the percentage of brown M&M’s is equal to 13%. There are four steps to this problem. First, Identify the null and alternative hypotheses.

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8. (Refer to problem 7). Find the test statistic.

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9. (Refer to problems 7 and 8). Use the Standard Normal Table to find the p-value, critical value(s) and state the decision about the null hypothesis.

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10. (Refer to problems 7, 8, and 9). State the conclusion in non-technical terms.

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