تم الحل ✓
categoryإحصاء
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
(a) What proportion of the males who took the survey is willing to pay higher taxes to reduce the deficit? What proportion of the females who took the survey is willing to pay higher taxes to reduce the deficit?
The proportions of the males and females who took the survey who are willing to pay higher taxes to reduce the deficit are ☐ and ☐ respectively.
(Round to four decimal places as needed.)
(b) Is there significant evidence to suggest the proportions of males and females who are willing to pay higher taxes to reduce the deficit differ at the a=0.05 level of significance?
First verify the model requirements. Select all that apply.
A. The samples are dependent.
B. The sample size is less than 5% of the population size for each sample.
C. The samples are independent.
D. n₁₁ (1-1) 210 and 22 (1-2) ≥10
E. The data come from a population that is normally distributed.
F. The sample size is more than 5% of the population size for each sample.
Is there a difference in how males and females feel about paying more taxes to reduce the deficit? Identify the null and alternative hypotheses for this test. Let p represent the population proportion of adult males who are willing to
pay higher taxes to reduce the deficit and p2 represent the population proportion of adult females who are willing to pay higher taxes to reduce the deficit.
Determine the null and alternative hypotheses.
Ho: P1
P2
H₁: P₁
P2
Find the test statistic for this hypothesis test.
(Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
(Round to three decimal places as needed.)
Interpret the P-value.
If the population proportions are
(Round to the nearest integer as needed.)
State the conclusion for this hypothesis test.
one would expect a sample difference proportion
the one observed in about ☐ out of 100 repetitions of this experiment.
A. Do not reject Ho. There is sufficient evidence at the a=0.05 level of significance to suggest the proportions of males and females who are willing to pay higher taxes to reduce the deficit differ.
B. Reject Ho. There is not sufficient evidence at the a=0.05 level of significance to suggest the proportions of males and females who are willing to pay higher taxes to reduce the deficit differ.
C. Do not reject Ho. There is not sufficient evidence at the a=0.05 level of significance to suggest the proportions of males and females who are willing to pay higher taxes to reduce the deficit differ.
D. Reject Ho. There is sufficient evidence at the a = 0.05 level of significance to suggest the proportions of males and females who are willing to pay higher taxes to reduce the deficit differ.
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