A certain drug is used to treat asthma. In a clinical trial of the drug, 15 of 293 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than $8 %$ of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below.
$\begin{array}{l} 1-PropZTest \\ prop < 0.08 \\ z = - 1.817480372 \\ p = 0.0345717955 \\ \hat{p} = 0.0511945392 \\ n = 293 \end{array}$
d. What is the null hypothesis, and what do you conclude about it?

Identify the null hypothesis.
A. $H_{0} : p = 0.08$
B. $H_{0} : p \neq 0.08$
C. $H_{0} : p > 0.08$
D. $H_{0} : p < 0.08$

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So, the final answer is $A. H_{0} : p = 0.08$ .

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Step 1 ：The null hypothesis for a proportion test is typically that the proportion equals a certain value. In this case, the null hypothesis is that the proportion of treated subjects who experienced headaches is 8%. Therefore, the null hypothesis is $H_{0} : p = 0.08$ .

Step 2 ：Based on the given information, the p-value is 0.0345717955, which is greater than the significance level of 0.01. Therefore, we fail to reject the null hypothesis.

Step 3 ：So, the final answer is $A. H_{0} : p = 0.08$ .

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