A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.53. You believe that the proportion is actually less than 0.53. The hypotheses for this test are Null Hypothesis: p > 0.53, Alternative Hypothesis: p < 0.53. If you select a random sample of 27 people and 18 have a food allergy and/or sensitivity, what is your test statistic and p-value?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A suggestion is made that the proportion of people who have food allergies and/or
sensitivities is 0.53. You believe that the proportion is actually less than 0.53. The
hypotheses for this test are Null Hypothesis: p > 0.53, Alternative Hypothesis: p <
0.53. If you select a random sample of 27 people and 18 have a food allergy and/or
sensitivity, what is your test statistic and p-value?
1) Test Statistic: 1.423, P-Value: 0.923
2) Test Statistic: -1.423, P-Value: 0.077
3) Test Statistic: -1.423, P-Value: 0.923
4) Test Statistic: 1.423, P-Value: 0.077
5) Test Statistic: 1.423, P-Value: 1.846
Transcribed Image Text:A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.53. You believe that the proportion is actually less than 0.53. The hypotheses for this test are Null Hypothesis: p > 0.53, Alternative Hypothesis: p < 0.53. If you select a random sample of 27 people and 18 have a food allergy and/or sensitivity, what is your test statistic and p-value? 1) Test Statistic: 1.423, P-Value: 0.923 2) Test Statistic: -1.423, P-Value: 0.077 3) Test Statistic: -1.423, P-Value: 0.923 4) Test Statistic: 1.423, P-Value: 0.077 5) Test Statistic: 1.423, P-Value: 1.846
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