Do You Prefer Paintings In Which The People Are Fully Clothed This Question Was Asked By A Professional Survey Group On 1 (21.19 KiB) Viewed 96 times
Do You Prefer Paintings In Which The People Are Fully Clothed This Question Was Asked By A Professional Survey Group On 2 (29.01 KiB) Viewed 96 times
Do you prefer paintings in which the people are fully clothed? This question was asked by a professional survey group on behalf of a national arts organization. A random sample of n - 62 people who are conservative voters showed that said yes. Another random sample of n - 61 people who are liberal voters showed that 2-3 said yes. Does this indicate that the population proportion of conservative voters who prefer art with fully clothed people is higher? Use & -0.05. (a) What is the level of significance? State the null and alterate hypotheses ON: P - Hit Di P2 O HOPP MED ON: PIP HDP2 HoP.- PP P2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume the population distributions are approximately normal. The standard normal. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large. The Student's . The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference P: - P2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the Puvalue (Round your answer to four decimal places.)
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the a - 0.05 level, we reject the nult hypothesis and conclude the data are not statistically significant At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the a= 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant = (e) Interpret your conclusion in the context of the application. Fail to reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters who prefer art with fully clothed people is higher. O Fail to reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters who prefer art with fully clothed people is higher. Reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters who prefer art with fully clothed people is higher. O Reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters who prefer art with fully clothed people is higher
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