Dann Sawyer Confidence in the Scientific Community According to NORC, an indepen
ID: 3315951 • Letter: D
Question
Dann Sawyer Confidence in the Scientific Community According to NORC, an independent research organization at the Universily of Chicago, conlidence in the scenific community has remained stable at 40%) sinothe 1970s. A k a ing seseader e eves the per certa e ul colidence b dierent from what was oport d A random ariple of 300 US adults were nurveyed and 148 said they had confidence in the scieraic conn urity Test at a 5% significance kv11 Normal Table (opens in new window) 1 What is the null hypothesis? Ho tforget to include pand-., ort(type not equal) in your answer ) Do not use spaces in your answer 2 What is the alternate hypothesis? Ho t forget to indlude p and ,Explanation / Answer
1.Here, null hypothesis -> H0:p=0.4 where p = proportion of adults having confidence in the scientific community.
2. Alternative hypothesis -> H1:p0.4
3.This is a two-tailed test(since in the alternative hypothesis, we have an inequality check which implies testing for > and < both cases).
4.Sample proportion : p =148/300=0.4933.
R code : > binom.test(148,300,p=0.4)
Exact binomial test
data: 148 and 300
number of successes = 148, number of trials = 300, p-value = 0.00116
alternative hypothesis: true probability of success is not equal to 0.4
95 percent confidence interval:
0.4354025 0.5513971
sample estimates:
probability of success
0.4933333
p-value < 0.05 => Reject H0 =>Reject the claim that 40% of Americans trust the scientific community.
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