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1. A survey showed that 980 of the 1500 adult respondents believe in global warming.

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1. A survey showed that 980 of the 1500 adult respondents believe in global warming.
(a) Construct a 99% confidence interval estimate of the proportion of adults believing in global warming. (Round the lower bound and upper bound of the confidence interval to three decimal places) Include description of how confidence interval was constructed.

(b) Describe the results of the survey in everyday language

2. The UMUC Daily News reported that the color distribution for plain M&M’s was: 40% brown, 20% yellow, 20% orange, 10% green, and 10% tan. Each piece of candy in a random sample of 100 plain M&M’s was classified according to color, and the results are listed below. Use a 0.05 significance level to test the claim that the published color distribution is correct. Show all work and justify your answer.

COLOR: BROWN YELLOW ORANGE GREEN TAN

NUMBER: 42 18 15 7 18

(a) What is the appropriate hypothesis test: z-test for sample proportion, t-test for sample mean, chi-square goodness of fit test, F-test for ANOVA? Please identify and explain why it is appropriate for analyzing this data.

(b) Identify the null hypothesis and the alternative hypothesis.

(c) Determine the test statistic. Round your answer to two decimal places. Show all work

(d) Determine the P-value. Round your answer to two decimal places. Show all work

(e) Compare p-value and significance level α. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?

(f) Is there sufficient evidence to support the claim that the published color distribution is correct? Justify your answer

 
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