Gallup regularly conducts a poll asking American adults to rate their life on a scale of zero to ten. Zero represents th

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Gallup regularly conducts a poll asking American adults to rate
their life on a scale of zero to ten. Zero represents the worst
possible life and ten represents the best possible life.
People who responded seven or above are considered
"thriving".
People who responded five or six are considered
"struggling".
People who responded four or lower are considered
"suffering".
The most recent poll (year 2019) found 4% of respondents to be
suffering. The sample size was n = 1500.

The sample percentage 4% is
𝜇
p
x
p̂
Suppose that for the past three years, the percentage of
respondents who were "suffering" was steady at 2.5%.

State hypotheses that would lead us to test our 2019 year value of
4% against the historical value of 2.5% to see whether the
population percentage of the current year 2019 has INCREASED
significantly when compared with the historical value of 2.5%.
H0: p = 2.5% and Ha: p < 4%
H0: p = 2.5% and Ha: p >
4%
H0: p = 2.5% and Ha : p <
2.5%
H0 : p ≤ 2.5% and Ha : p
> 2.5%
H0 : p = 4% and Ha: p <
2.5%
H0: p = 4% and Ha: p ≠ 4%
Is the test statistic from the t or z distribution?

What is the value of the test statistic?
6.41
3.72
2.96
-3.00
-3.35
What is the p-value of the test?
0.9999
0.99856
0.00010
0.00040
0.00135
0.00154
What conclusion can you draw? Use alpha (𝛼) = 0.05.
Do not reject the null hypothesis because the p-value is greater
than 𝛼. Conclude that the 2018 percentage of all Americans who
are "struggling" is not greater than 4%
Reject the null hypothesis because the p-value is less
than 𝛼. Conclude that the 2018 percentage of all Americans who
are "struggling" is greater than the historical value of 4%
.
Reject the null hypothesis because the p-value is less
than 𝛼. Conclude that the 2018 percentage of the surveyed
Americans who are "struggling" is higher than the historical value
of 2.5% .
Reject the null hypothesis because the p-value is less
than 𝛼. Conclude that the 2018 percentage of all Americans who
are "struggling" is less than the historical value of 2.5% .
Reject the null hypothesis because the p-value is less
than 𝛼. Conclude that the 2018 percentage of all Americans who
are "struggling" is higher than the historical value of 2.5% .
Do not reject the null hypothesis because the p-value is larger
than 𝛼. Conclude that the 2018 percentage of all Americans who
are "struggling" is not greater than the historical value of 2.5%
.
Reject the null hypothesis because the p-value is less
than 𝛼. Conclude that the 2018 percentage of all Americans who
are "struggling" is not different from the historical value of 2.5%
.