A politician claims that she will receive at least 61% of the vote in an upcoming election. The results of a properly designed random samp of 100 voters showed that 54 of those sampled will vote for her. Is it likely that her assertion is correct at the 0.05 level of significance? (a) State the appropriate null and alternative hypotheses. Ho: p? v0.61 Ha: p? v 0.61 (ii) Find z. (Round your answer to two decimal places.) (iii) Find the p-value. (Round your answer to four decimal places.) (b) State the appropriate conclusion. O Fail to reject the null hypothesis, there is not significant evidence that she will receive less than 61% of the vote. O Reject the null hypothesis, there is not significant evidence that she will receive less than 61% of the vote. O Reject the null hypothesis, there is significant evidence that she will receive less than 61% of the vote. O Fail to reject the null hypothesis, there is significant evidence that she will receive less than 61% of the vote.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A politician claims that she will receive at least 61% of the vote in an upcoming election. The results of a properly designed random sample
of 100 voters showed that 54 of those sampled will vote for her. Is it likely that her assertion is correct at the 0.05 level of significance?
(a) State the appropriate null and alternative hypotheses.
Ho: p ? v 0.61
Ha: p ? v 0.61
(ii) Find z. (Round your answer to two decimal places.)
(iii) Find the p-value. (Round your answer to four decimal places.)
(b) State the appropriate conclusion.
Fail to reject the null hypothesis, there is not significant evidence that she will receive less than 61% of the vote.
Reject the null hypothesis, there is not significant evidence that she will receive less than 61% of the vote.
Reject the null hypothesis, there is significant evidence that she will receive less than 61% of the vote.
Fail to reject the null hypothesis, there is significant evidence that she will receive less than 61% of the vote.
Transcribed Image Text:A politician claims that she will receive at least 61% of the vote in an upcoming election. The results of a properly designed random sample of 100 voters showed that 54 of those sampled will vote for her. Is it likely that her assertion is correct at the 0.05 level of significance? (a) State the appropriate null and alternative hypotheses. Ho: p ? v 0.61 Ha: p ? v 0.61 (ii) Find z. (Round your answer to two decimal places.) (iii) Find the p-value. (Round your answer to four decimal places.) (b) State the appropriate conclusion. Fail to reject the null hypothesis, there is not significant evidence that she will receive less than 61% of the vote. Reject the null hypothesis, there is not significant evidence that she will receive less than 61% of the vote. Reject the null hypothesis, there is significant evidence that she will receive less than 61% of the vote. Fail to reject the null hypothesis, there is significant evidence that she will receive less than 61% of the vote.
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