b. The null and alternative hypotheses would be: Ho: Select an answer (please enter a decimal) H: (? (Please enter a decimal) Select an answer C. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![A news article that you read stated that 50% of voters prefer the Democratic candidate. You think
that the actual percent is different. 121 of the 247 voters that you surveyed said that they prefer the
Democratic candidate. What can be concluded at the 0.10 level of significance?
a. For this study, we should use (Select an answer
b. The null and alternative hypotheses would be:
Но:
(please enter a decimal)
Select an answer
H: (? v
Select an answer
(Please enter a decimal)
C. The test statistic
(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 (? a
f. Based on this, we should Select an answer
the null hypothesis.
g. Thus, the final conclusion is that ...
UThe data suggest the populaton proportion is significantly different 50% at a = 0.10, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is different 50%
The data suggest the population proportion is not significantly different 50% at a =
0.10, so there is not sufficient evidence to conclude that the proportion of voters who
prefer the Democratic candidate is different 50%.
O The data suggest the population proportion is not significantly different 50% at a =
0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer
the Democratic candidate is equal to 50%.
h. Interpret the p-value in the context of the study.
There is a 75.04% chance of a Type I error.
|If the population proportion of voters who prefer the Democratic candidate is 50% and
if another 247 voters are surveyed then there would be a 75.04% chance that either
fewer than 49% of the 247 voters surveyed prefer the Democratic candidate or more
than 51% of the 247 voters surveyed prefer the Democratic candidate.
If the sample proportion of voters who prefer the Democratic candidate is 49% and if
anether 247vetors are c
then thereweulecd be a 750404 chaace](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd16ddfa-c201-4e3f-90ee-e0e9ce8bf5de%2Fac88d8fc-dff4-41e4-bf78-d3148f302118%2F8itxi3r_processed.jpeg&w=3840&q=75)
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