In a study of users’ adoption of a new app feature, researchers claim that the true adoption rate pp is greater than 30%30\%. They collect a sample of n=100n = 100 users and find a sample proportion p^=0.35\hat{p}=0.35. At α=0.05α = 0.05, can they use the normal approximation, and do the data support the claim?

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Problem 4Multiple Choice

In a study of users’ adoption of a new app feature, researchers claim that the true adoption rate $p$ is greater than $30 percent sign$ . They collect a sample of $n equals 100$ users and find a sample proportion $p hat equals 0.35$ . At $alpha equals 0.05$ , can they use the normal approximation, and do the data support the claim?

The normal approximation can be used, but the data do not support the claim that the adoption rate exceeds $30 percent sign$ at $alpha equals 0.05$ .

The normal approximation cannot be used, and the data support the claim that the adoption rate exceeds $30 percent sign$ at $alpha equals 0.05$ .

The normal approximation can be used, and the data support the claim that the adoption rate exceeds $30 percent sign$ at $alpha equals 0.05$ .

The normal approximation cannot be used, and the data do not support the claim that the adoption rate exceeds $30 percent sign$ at $alpha equals 0.05$ .

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