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85 students were surveyed for their preference of chicken or turkey based on gender. With 43 females and 42 males, the hypothesis test is conducted using the P-Value method at a 0.05 significant level. The preferences are summarized in the picture. What is the appropriate conclusion?

(a) Reject the null hypothesis
(b) Fail to reject the null hypothesis
(c) Insufficient data
(d) Cannot be determined

User Pkavanagh
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1 Answer

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Final answer:

To conclude a hypothesis test, the p-value is compared to alpha (0.05). If the p-value is less than alpha, reject the null hypothesis; if greater, fail to reject it.

Step-by-step explanation:

The question is asking for the conclusion of a hypothesis test where the preferences of chicken or turkey based on gender were surveyed. Although the picture with the summarized data is not provided, the decision for a hypothesis test generally relies on comparing the p-value to the significance level (alpha). When the p-value is less than alpha, which signals a significant result, we reject the null hypothesis. If the p-value is greater than alpha, we fail to reject the null hypothesis, indicating insufficient evidence against it. In our case, we would compare the survey's p-value to the given alpha of 0.05 to reach a conclusion.

User Richard Crane
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