Discuss hypothesis testing for a population proportion

Assignment covers the procedure for hypothesis testing and testing a hypothesis testing for a population proportion.

Q1.  A researcher claims that 62% of voters favor gun control.  State the null hypothesis and the alternative hypothesis in words.

Q2.  A researcher claims that 62% of voters favor gun control.  Identify the null hypothesis H0 and the alternative hypothesis H1 using p.

Q3.  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.

Q4.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.

Q5. 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,x ¯= 984, s = 25.  Explain.

Q6.  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.

Q7. 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.

Q8. (Refer to Q7). Find the test statistic.

Q9. (Refer toQ7 and 8).Use the Standard Normal Table to find the p-value, critical value(s) and state the decision about the null hypothesis.

Q10.(Refer to Q7, 8, and 9). State the conclusion in non-technical terms.

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