After you have clicked the tab for your selected topic and read the problem, answer the questions below. (a) Use SALT to summarize the data. Enter the sample size, number of success, and sample proportion, p for the data, rounded to three decimal places. Sample size Number Successes 4129 1938 0.4691 (b) Write the hypotheses to investigate the research question about the proportion, p, of successes. (Enter != for # as needed.) Ho: 0.4691 H: 0.05 (c) We need to verify the assumptions for using a z-test for a single proportion to analyze this dataset. The first assumption states the sample is a random sample selected in a way that should result in a representative sample. the population of interest or the sample is Based on what you know about how this sample was collected, the sample is a random sample from the populations of interest. The second assumption requires the sample to be large enough to be reasonably sure that the sampling distribution will be at least approximately normal. This condition is met when both np 2 10 and n(1 – p) < 10, where p is the hypothesized proportion. Based on the two sample sizes, the second assumption has been met. (d) Enter the requested values below. Round your test statistic to two decimal places and your P-value to four decimal places. Test Statistic: P-value: Comparing the P-value with the significance level of 0.05, the P-value is less than the significance level. The decision is to reject the null hypothesis. Based on the sample data, there is v convincing evidence that the sample proportion is less than the hypothesized proportion by more than what could have resulted from sampling error alone.
After you have clicked the tab for your selected topic and read the problem, answer the questions below. (a) Use SALT to summarize the data. Enter the sample size, number of success, and sample proportion, p for the data, rounded to three decimal places. Sample size Number Successes 4129 1938 0.4691 (b) Write the hypotheses to investigate the research question about the proportion, p, of successes. (Enter != for # as needed.) Ho: 0.4691 H: 0.05 (c) We need to verify the assumptions for using a z-test for a single proportion to analyze this dataset. The first assumption states the sample is a random sample selected in a way that should result in a representative sample. the population of interest or the sample is Based on what you know about how this sample was collected, the sample is a random sample from the populations of interest. The second assumption requires the sample to be large enough to be reasonably sure that the sampling distribution will be at least approximately normal. This condition is met when both np 2 10 and n(1 – p) < 10, where p is the hypothesized proportion. Based on the two sample sizes, the second assumption has been met. (d) Enter the requested values below. Round your test statistic to two decimal places and your P-value to four decimal places. Test Statistic: P-value: Comparing the P-value with the significance level of 0.05, the P-value is less than the significance level. The decision is to reject the null hypothesis. Based on the sample data, there is v convincing evidence that the sample proportion is less than the hypothesized proportion by more than what could have resulted from sampling error alone.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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Transcribed Image Text:After you have clicked the tab for your selected topic and read the problem, answer the questions below.
(a) Use SALT to summarize the data. Enter the sample size, number of success, and sample proportion, p for the
data, rounded to three decimal places.
Sample size
Number
Successes
4129
1938
0.4691
(b) Write the hypotheses to investigate the research question about the proportion, p, of successes. (Enter != for #
as needed.)
Ho: 0.4691
H: 0.05
(c) We need to verify the assumptions for using a z-test for a single proportion to analyze this dataset.
the population of interest or the sample is
The first assumption states the sample is a random sample
selected in a way that should result in a representative sample.
Based on what you know about how this sample was collected, the sample is
a random sample
from the populations of interest.
The second assumption requires the sample to be large enough to be reasonably sure that the sampling
distribution will be at least approximately normal. This condition is met when both np 2 10 and n(1 – p) < 10,
where p is the hypothesized proportion.
Based on the two sample sizes, the second assumption has been
met.
(d) Enter the requested values below. Round your test statistic to two decimal places and your P-value to four decimal
places.
Test Statistic:
P-value:
Comparing the P-value with the significance level of 0.05, the P-value is less than
the
significance level. The decision is to reject
the null hypothesis.
Based on the sample data, there is
v convincing evidence that the sample proportion is less than
the hypothesized proportion by more than what could have resulted from sampling error alone.
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