In: Statistics and Probability
Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled,489 were in favor, 395 were opposed, and 115 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 115 subjects who said that they were unsure, and use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5 What does the result suggest about the politician's claim?
Answer:-
Given That:-
Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled,489 were in favor, 395 were opposed, and 115 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 115 subjects who said that they were unsure, and use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5
What does the result suggest about the politician's claim?
of these polled 489 were in favour 395 were opposed and 115 were unsure
x=489
n=489+395
n=884
Test statistics
This is test statistic value
p-value [Two tailed test]
Since p-value <0.05 ,reject the null hypothesis.
We conclude that we have sufficient evidence to support the claim.