You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 72% at a level of significance of a = 0.05. According to your sample, 54 out of 68 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Select an answer Ho: H₁: Select an answer c. The test statistic ?✔ d. The p-value= e. The p-value is ? a f. Based on this, we should g. Thus, the final conclusion is that ... (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest the population proportion is not significantly larger than 72% at a = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 72%. O The data suggest the population proportion is not significantly larger than 72% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 72%. O The data suggest the population proportion is significantly larger than 72% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 72% h. Interpret the p-value in the context of the study. O There is a 8.67% chance that more than 72% of all voters prefer the Democratic candidate. O There is a 8.67% chance of a Type I error. O If the population proportion of voters who prefer the Democratic candidate is 72% and if another 68 voters are surveyed then there would be a 8.67% chance that more than 79% of the 68 voters surveyed prefer the Democratic candidate. O If the sample proportion of voters who prefer the Democratic candidate is 79% and if another 68 voters are surveyed then there would be a 8.67% chance of concluding that more than 72% of all voters surveyed prefer the Democratic candidate. i. Interpret the level of significance in the context of the study. O If the population proportion of voters who prefer the Democratic candidate is 72% and if another 68 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is larger than 72% There is a 5% chance that the proportion of voters who prefer the Democratic candidate is larger than 72%. O If the proportion of voters who prefer the Democratic candidate is larger than 72% and if another 68 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 72%. O There is a 5% chance that the earth is flat and we never actually sent a man to the moon.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Need help with B, C nad D please

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 72% at a level of significance of α = 0.05. According to your sample, 54 out of 68 potential voters prefer the Democratic candidate.

a. For this study, we should use [Select an answer].

b. The null and alternative hypotheses would be:
   - Ho: p = [Select an answer] (please enter a decimal)
   - H1: p > [Select an answer] (please enter a decimal)

c. The test statistic \( z = \) __________ (please show your answer to 3 decimal places).

d. The p-value = ___________ (please show your answer to 4 decimal places).

e. The p-value is [Select an answer] α.

f. Based on this, we should [Select an answer] the null hypothesis.

g. Thus, the final conclusion is that:
   - ☐ The data suggest the population proportion is not significantly larger than 72% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 72%.
   - ☐ The data suggest the population proportion is not significantly larger than 72% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 72%.
   - ☐ The data suggest the population proportion is significantly larger than 72% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 72%.

h. Interpret the p-value in the context of the study.
   - ☐ There is a 8.67% chance that more than 72% of all voters prefer the Democratic candidate.
   - ☐ There is a 8.67% chance of a Type I error.
   - ☐ If the population proportion of voters who prefer the Democratic candidate is 72% and if another 68 voters are surveyed, then there would be a 8.67% chance that more than 79% of the 68 voters surveyed prefer the Democratic candidate.
   - ☐ If the sample proportion of voters who prefer the Democratic candidate is 79% and if another 68 voters are surveyed then there would be a 8.67% chance of concluding that more than
Transcribed Image Text:You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 72% at a level of significance of α = 0.05. According to your sample, 54 out of 68 potential voters prefer the Democratic candidate. a. For this study, we should use [Select an answer]. b. The null and alternative hypotheses would be: - Ho: p = [Select an answer] (please enter a decimal) - H1: p > [Select an answer] (please enter a decimal) c. The test statistic \( z = \) __________ (please show your answer to 3 decimal places). d. The p-value = ___________ (please show your answer to 4 decimal places). e. The p-value is [Select an answer] α. f. Based on this, we should [Select an answer] the null hypothesis. g. Thus, the final conclusion is that: - ☐ The data suggest the population proportion is not significantly larger than 72% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 72%. - ☐ The data suggest the population proportion is not significantly larger than 72% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 72%. - ☐ The data suggest the population proportion is significantly larger than 72% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 72%. h. Interpret the p-value in the context of the study. - ☐ There is a 8.67% chance that more than 72% of all voters prefer the Democratic candidate. - ☐ There is a 8.67% chance of a Type I error. - ☐ If the population proportion of voters who prefer the Democratic candidate is 72% and if another 68 voters are surveyed, then there would be a 8.67% chance that more than 79% of the 68 voters surveyed prefer the Democratic candidate. - ☐ If the sample proportion of voters who prefer the Democratic candidate is 79% and if another 68 voters are surveyed then there would be a 8.67% chance of concluding that more than
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Need help with this one in part D. 

According to the Carnegie unit system, the recommended number of hours students should study per unit is
2. Are statistics students' study hours less than the recommended number of hours per unit? The data show
the results of a survey of 16 statistics students who were asked how many hours per unit they studied.
Assume a normal distribution for the population.
0, 0, 2, 2.9, 0, 0.5, 0, 0.2, 1.1, 1.2, 2.5, 0.1, 0.3, 0.6, 3.2, 3
What can be concluded at the ax = 0.05 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? Select an answer
H₁: ? Select an answer
c. The test statistic ? ♥
=
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
d. The p-value =
e. The p-value is ? ✓ a
f. Based on this, we should [Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest that the population mean study time per unit for statistics students is not
significantly less than 2 at a = 0.05, so there is insufficient evidence to conclude that the
population mean study time per unit for statistics students is less than 2.
O The data suggest the populaton mean is significantly less than 2 at cx = 0.05, so there is
sufficient evidence to conclude that the population mean study time per unit for statistics
students is less than 2.
O The data suggest the population mean is not significantly less than 2 at a = 0.05, so there is
sufficient evidence to conclude that the population mean study time per unit for statistics
students is equal to 2.
h. Interpret the p-value in the context of the study.
O If the population mean study time per unit for statistics students is 2 and if you survey another
16 statistics students, then there would be a 0.47045968% chance that the population mean
study time per unit for statistics students would be less than 2.
There is a 0.47045968% chance of a Type I error.
If the population mean study time per unit for statistics students is 2 and if you survey another
16 statistics students, then there would be a 0.47045968% chance that the sample mean for
these 16 statistics students would be less than 1.1.
There is a 0.47045968 % chance that the population mean study time per unit for statistics
students is less than 2.
i. Interpret the level of significance in the context of the study.
There is a 5% chance that the population mean study time per unit for statistics students is
less than 2.
O If the population mean study time per unit for statistics students is 2 and if you survey another
16 statistics students, then there would be a 5% chance that we would end up falsely
concuding that the population mean study time per unit for statistics students is less than 2.
There is a 5% chance that students just don't study at all so there is no point to this survey.
O If the population mean study time per unit for statistics students is less than 2 and if you
survey another 16 statistics students, then there would be a 5% chance that we would end up
falsely concuding that the population mean study time per unit for statistics students is equal
to 2.
Transcribed Image Text:According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0, 0, 2, 2.9, 0, 0.5, 0, 0.2, 1.1, 1.2, 2.5, 0.1, 0.3, 0.6, 3.2, 3 What can be concluded at the ax = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer c. The test statistic ? ♥ = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at a = 0.05, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. O The data suggest the populaton mean is significantly less than 2 at cx = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. O The data suggest the population mean is not significantly less than 2 at a = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2. h. Interpret the p-value in the context of the study. O If the population mean study time per unit for statistics students is 2 and if you survey another 16 statistics students, then there would be a 0.47045968% chance that the population mean study time per unit for statistics students would be less than 2. There is a 0.47045968% chance of a Type I error. If the population mean study time per unit for statistics students is 2 and if you survey another 16 statistics students, then there would be a 0.47045968% chance that the sample mean for these 16 statistics students would be less than 1.1. There is a 0.47045968 % chance that the population mean study time per unit for statistics students is less than 2. i. Interpret the level of significance in the context of the study. There is a 5% chance that the population mean study time per unit for statistics students is less than 2. O If the population mean study time per unit for statistics students is 2 and if you survey another 16 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is less than 2. There is a 5% chance that students just don't study at all so there is no point to this survey. O If the population mean study time per unit for statistics students is less than 2 and if you survey another 16 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2.
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