In a clinical trial, 18 out of 864 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.8% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.8% of this drug's users experience flulike symptoms as a side effect at the a = 0.01 level of significance? ..... Because npo (1- Po) = |17.6 V10, the sample size is less than 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. are cannot be reasonably assumed to be random, can be reasonably assumed to be random, is given to not be random, is given to be random,

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Question 7

In a clinical trial, 18 out of 864 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.8% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.8% of this drug's users experience flulike symptoms as a side effect at the α = 0.01 level of significance?

- Because np₀(1 - p₀) = 17.6, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied.

Explanation:

1. **Calculation**: The value of np₀(1 - p₀) is calculated as 17.6.
2. **Sample Size**: The sample size is noted to be less than 5% of the total population size.
3. **Randomness**: The sample can be reasonably assumed to be random.
4. **Conclusion**: The conditions satisfy the requirements for hypothesis testing at the significance level of 0.01.

A drop-down box provides options for evaluating the randomness of the sample. The selected option is, "can be reasonably assumed to be random," indicating that the sample meets the necessary criteria for hypothesis testing.
Transcribed Image Text:In a clinical trial, 18 out of 864 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.8% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.8% of this drug's users experience flulike symptoms as a side effect at the α = 0.01 level of significance? - Because np₀(1 - p₀) = 17.6, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied. Explanation: 1. **Calculation**: The value of np₀(1 - p₀) is calculated as 17.6. 2. **Sample Size**: The sample size is noted to be less than 5% of the total population size. 3. **Randomness**: The sample can be reasonably assumed to be random. 4. **Conclusion**: The conditions satisfy the requirements for hypothesis testing at the significance level of 0.01. A drop-down box provides options for evaluating the randomness of the sample. The selected option is, "can be reasonably assumed to be random," indicating that the sample meets the necessary criteria for hypothesis testing.
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