For each scenario below, what is the appropriate statistical analysis
to use? (t-test for two independent samples, t-test for dependent samples, ANOVA, or chi-square test of independence) and why?
(a) A study was conducted to see whether monetary incentives to use less water during times of drought had an effect on water usage. Sixty single family homeowners were randomly assigned to one of two groups: 1) monetary incentives and 2) no monetary incentives. At the end of three months, the total amount of water usage for each household, in gallons, was measured.

(b) A study was conducted to see whether the mean weight loss is the same for 10 different weight loss programs. Each of the 10 programs had 50 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded.

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The bold and italics portion is as far as I’ve
gotten with the equation. Help me finish? And am I on the right track?
A survey showed that 1200 of the 1600 adult respondents believe in global warming.
(a) Construct a 95% confidence interval estimate of the proportion of adults believing in global warming. Show all work. Just the answer, without supporting work, will receive no credit. Include description of how confidence interval was constructed.
0.75+/-sqrt[0.75*0.25/1600]*?=
(b) Describe the confidence interval in everyday language.

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