A suggestion is made that the proportion of people who have food allergies and/or sensitivities is...

A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.54. You believe that the proportion is actually different from 0.54. The hypotheses for this test are Null Hypothesis: p = 0.54, Alternative Hypothesis: p ≠ 0.54. If you select a random sample of 23 people and 13 have a food allergy and/or sensitivity, what is your test statistic and p-value?

Expert Solution

A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.54. You believe that the proportion is actually different from 0.54. The hypotheses for this test are Null Hypothesis: p = 0.54, Alternative Hypothesis: p ≠ 0.54. If you select a random sample of 23 people and 13 have a food allergy and/or sensitivity, what is your test statistic and p-value?

Your answer

Test statistic z= 0.2427

P value = 0.8083

p=13/23=0.5652

=0.2427

Z Test of Hypothesis for the Proportion

Data
Null Hypothesis p =	0.54
Level of Significance	0.05
Number of Items of Interest	13
Sample Size	23

Intermediate Calculations
Sample Proportion	0.5652
Standard Error	0.1039
Z Test Statistic	0.2427

Two-Tail Test
Lower Critical Value	-1.9600
Upper Critical Value	1.9600
p-Value	0.8083
Do not reject the null hypothesis

orchestra answered 3 years ago

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