An environmental group wanted to estimate the proportion of fresh produce sales identified as organic in a local grocery store. In the winter, the group obtained a random sample of sales from the store and used the data to construct the 95 percent z-interval for a proportion (0.087, 0.133). Six months later in the summer, the group obtained a second random sample of sales from the store. The second sample was the same size as the first, and the proportion of sales identified as organic was 0.4. How does the 95 percent z-interval for a proportion constructed from the summer sample compare to the winter interval? (A) The summer interval is wider and has a lesser point estimate. (B) The summer interval is wider and has a greater point estimate. (C) The summer interval is narrower and has a lesser point estimate. (D) The summer interval is narrower and has a greater point estimate. (E) The summer interval is the same width and has a greater point estimate.

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An environmental group wanted to estimate the proportion of fresh produce sales identified as organic in a local
grocery store. In the winter, the group obtained a random sample of sales from the store and used the data to
construct the 95 percent z-interval for a proportion (0.087, 0.133). Six months later in the summer, the group
obtained a second random sample of sales from the store. The second sample was the same size as the first, and
the proportion of sales identified as organic was 0.4. How does the 95 percent z-interval for a proportion
constructed from the summer sample compare to the winter interval?
(A) The summer interval is wider and has a lesser point estimate.
(B) The summer interval is wider and has a greater point estimate.
(C) The summer interval is narrower and has a lesser point estimate.
(D) The summer interval is narrower and has a greater point estimate.
(E) The summer interval is the same width and has a greater point estimate.
Transcribed Image Text:An environmental group wanted to estimate the proportion of fresh produce sales identified as organic in a local grocery store. In the winter, the group obtained a random sample of sales from the store and used the data to construct the 95 percent z-interval for a proportion (0.087, 0.133). Six months later in the summer, the group obtained a second random sample of sales from the store. The second sample was the same size as the first, and the proportion of sales identified as organic was 0.4. How does the 95 percent z-interval for a proportion constructed from the summer sample compare to the winter interval? (A) The summer interval is wider and has a lesser point estimate. (B) The summer interval is wider and has a greater point estimate. (C) The summer interval is narrower and has a lesser point estimate. (D) The summer interval is narrower and has a greater point estimate. (E) The summer interval is the same width and has a greater point estimate.
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