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A website is trying to increase registration for rst-time visitors, exposing 1% of these visitors to a new site design. Of 755 randomly sampled visitors
A website is trying to increase registration for rst-time visitors, exposing 1% of these visitors to a new site design. Of 755 randomly sampled visitors over a month who saw the new design, 63 registered. (a) Check any conditions required for constructing a condence interval. "he visitors ' from a simple random sample, so independence y satised. The success-failure condition J satised. "herefore, we J use a normal distribution to model and construct a condence interval. (Io) Compute the standard error. (Round your answer to three decimal places.) (c) Construct a 90% condence interval for the proportion of rst-time visitors of the site who would register under the new design (assuming stable behaviors by new visitors over time). (Round your answers to three decimal places.) Interpret the confidence interval. 0 There is a 95% chance that the true proportion of first-time visitors who register is within the interval. (Q We are 90% confident that the true proportion of rst-time visitors who register is the midpoint of the interval. 0 We are 90% confident that the true proportion of rsttime visitors who register is within the interval. 0 There is a 95% chance that the true proportion of first-time visitors who register is the midpoint of the interval. 0 We are 90% confident that the true proportion of rsttime visitors who register is outside the interval
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