standard deviation of 7.22 hours. At the 5% significance level what can you conclude?

The following 6 questions are based on this information.A politician claims that he is supported by more than 50% of voters. In a recent survey, 24 out of 40 randomly selected voters indicated that they would vote for the politician. Specify the null and alternative hypotheses. Select one:
a. H(0): p≤0.5 versus H(a): p>0.5 b. H(0): p≥0.5 versus H(a): p<0.5 The sample proportion, p¯ is Select one:
a. 0.6

b. 40
c. 24
d. 0.4
The standard error (SE) of
p
¯ is
Select one:
a. 0.079
b. 0.013
c. 0.006
d. 0.4
The test statistics value is
Select one:
a. 1.266
b. 0.251
c. 7.692
d. 2.53
The p-value is
Select one:
a. 0.103
b. 0.006
c. 0
d. 0.401
At
α
=0.05 and using the p-value
Select one:
a. We do not reject H(0)
b. We reject H(0) in favor of H(a)
Let
denotes the number of randomly selected voters who indicated that they would vote for the politician
out of 40 randomly selected voters.
Assume,
where
is the population proportion of voters who would vote for the politician.
We want to see if the politician's claim that he is supported by more than 50% of voters, is correct or not.
ie we want to test
(a)
An estimate of the population proportion
is the sample proportion which is
(a)
We know,
and
then,

and
(a)
As, the sample size
is large, we can use the following distribution
The value of the test statistic is
(a)
The
of the test statistic is
(a)
As, the
is gretaer than the level of significance
,
we do not have enough
evidence to reject the null hypothesis
and conclude that the politician's claim is not correct.

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