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Two Tailed Test of P-Value

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The top food snacks consumed by adults aged 18-54 are gum, chocolate candy, fresh fruit, potato chips, breath mints/candy, Ice cream, nuts, cookies, bars, yogurt, and crackers. Out of a random sample of 25 men, 15 ranked fresh fruit in their top five snack choices. Out of a random sample of 32 women, 22 ranked fresh fruit in their top five sack choices. Is there a difference in the proportion of men and women who rank fresh fruit in their top five list of snacks?

(a)State the hypotheses and a decision rule for α₌.10.

(b)Calculate the sample proportions.

(c) Find the test statistic and its p-value. What is your conclusion?

(d) Is normality assured?

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Solution Summary

This solution shows step-by-step calculation to determine the test statistic to compare to the p-value. A decision is made to accept or reject the null hypothesis.

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10.8 The top food snacks consumed by adults aged 18-54 are gum, chocolate candy, fresh fruit, potato chips, breath mints/candy, Ice cream, nuts, cookies, bars, yogurt, and crackers. Out of a random sample of 25 men, 15 ranked fresh fruit in their top five snack choices. Out of a random sample of 32 women, 22 ranked fresh fruit in their top ...

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