Question

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, 485 were in favor, 402 were opposed, and 125 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 125 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? The test statistic for this hypothesis test is_ The? P-value for this hypothesis test is_

          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, 485 were in favor, 402 were opposed, and 125 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 125 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?
The test statistic for this hypothesis test is_________
The? P-value for this hypothesis test is_________

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Added by Scott H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert David Nguyen

07/25/2022

Step 1

First, we need to calculate the total number of people who gave a definite answer (either in favor or opposed), which is 485 (in favor) + 402 (opposed) = 887. Show more…

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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, 485 were in favor, 402 were opposed, and 125 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 125 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? The test statistic for this hypothesis test is_________ The? P-value for this hypothesis test is_________

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Transcript

00:01 Hi, i'm david and i'm here to have me answering your question.

00:03 Now let me bring up your question here.

00:06 In the question here, we are going to discuss about the hypothesis testing.

00:10 Here, i want to test the proportion of the subject who responds in favor equal to the zon 5.

00:15 It means that when to test the moon hypothesis, when the proportion b equal to the 0 .155, versus the alternative hypothesis b will not equal to the 0 .5.

00:27 Notice that this will be the 2 -tale test.

00:31 And in this question we're given the sample says n we exclude the case of the 125 were unsure, 485 favor plus the 402, that will be opposed to get equal to the 887.

00:46 And we have the x will be the one where in the favor equal to 485.

00:51 So if we compute the sample portion be hard, it will equal to the x over n, equal to the 485 divided by the 887.

01:03 Now 485 divided by 87 equal to zobon 547 and then the next time we need to find the test statistics denoted by the z the formula will be the p hath minus b the value square into the b times 1 minus p over the n now if we compare the p heart get equal to the 0 .547, we minus the b will be the 0 .5.

01:32 Divide b square root up the 0 .5, 1 minus 0 .5.

01:37 However, the end will be the 887.

01:40 Now if we compute it, we get equal to divide square root of the 0 .25, devalu 887, equal to the 2 .78...

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