Consider a situation in which a random sample of 1,000 adults is surveyed and the proportion that primarily buys organic vegetables is found. If a new random sample of 1,000 adults is taken from the
same population, explain whether each of the following would change.
(a) the population proportion, p
The population proportion Select change because it is the proportion of -Select-
(b) the sample proportion,
The sample proportion -Select- 8 change because it is the proportion of ---Select---
(c) the standard deviation of
8 that buy organic vegetables.
B that buy organic vegetables.
The standard deviation of -Select- change because it is based on Select information and on these
size, which is --Select--
for each sample.
(d) the standard error of p
The standard error of Select 8 change because it is ---Select--
each sample.
the standard deviation of the sampling distribution, and it uses the Select data, which-Select---
8 for
(e) the sampling distribution of p, Including its shape and mean
The sampling distribution of -Select- B change because it is based on---Select-- information and on the Select size, which is -Select--
for each sample.

Question

09-03-2024
Mathematics

contestada

Consider a situation in which a random sample of 1,000 adults is surveyed and the proportion that primarily buys organic vegetables is found. If a new random sample of 1,000 adults is taken from the
same population, explain whether each of the following would change.
(a) the population proportion, p
The population proportion Select change because it is the proportion of -Select-
(b) the sample proportion,
The sample proportion -Select- 8 change because it is the proportion of ---Select---
(c) the standard deviation of
8 that buy organic vegetables.
B that buy organic vegetables.
The standard deviation of -Select- change because it is based on Select information and on these
size, which is --Select--
for each sample.
(d) the standard error of p
The standard error of Select 8 change because it is ---Select--
each sample.
the standard deviation of the sampling distribution, and it uses the Select data, which-Select---
8 for
(e) the sampling distribution of p, Including its shape and mean
The sampling distribution of -Select- B change because it is based on---Select-- information and on the Select size, which is -Select--
for each sample.

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itzamirv2 itzamirv2 · Answer 1 · 2024-03-09T23:51:43+01:00

(a) The population proportion, (p), would not change. It represents a characteristic of the entire population, and taking a new random sample from the same population does not alter this characteristic.

(b) The sample proportion would likely change. Each sample is a random subset of the population, so the individuals included in each sample may differ. Therefore, the proportion of adults primarily buying organic vegetables in each sample may vary.

(c) The standard deviation of those who buy organic vegetables would not change. This standard deviation is based on the variability within the population and is not affected by taking multiple samples from the same population.

(d) The standard error of (p) would not change. It is calculated as the standard deviation of the sampling distribution of (p), which is based on the population standard deviation and sample size. Since the population standard deviation and sample size remain constant, the standard error would not change.

(e) The sampling distribution of (p), including its shape and mean, would not change. It is based on the population distribution and sample size, which remain constant when taking multiple samples from the same population. Therefore, the shape and mean of the sampling distribution would remain the same.