Answer Happy

An amusement park in a city would like to study whether
its number of visitors in Halloween can be used to predict its
number of visitors in Christmas. The data (in thousands of
visitors) over the past 14 years are shown in the table
below:
No. in Halloween
No. in Christmas
35.0
37.8
28.8
33.6
40.3
41.1
24.0
28.6
31.1
34.9
33.8
38.6
30.6
31.2
33.3
36.9
34.2
35.7
23.6
30.1
38.6
44.6
34.2
36.2
34.7
35.7
22.7
28.3
(e) At the 0.01 level of significance, is there evidence
of a linear relationship between the number of visitors in
Halloween and the number of visitors in Christmas to the amusement
park?
The (Answer) alternative/ true/ false/ null hypothesis
H0 is:
The (Answer)
population/sample correlation coefficient 𝜌 (answer)
>/ =/ NOT=/ </ >=/ <=/ ______.
The (Answer) alternative/ true/ false/ null hypothesis H1
is
The (Answer)
population/sample correlation coefficient 𝜌 (answer)
>/ =/ NOT=/ </ >=/ <=/ ______.
The (Answer) power of the test/ level of significance/
level of confidence 𝛼 = ______ [give a value between
0 and 1 correct to 4 decimal places].
The (Answer) population size / sample size/ sampling
rate 𝑛 = _______
The chosen test statistic is:
𝑡=(𝑋¯−𝜇)/(𝑆/𝑛√)
𝑡=(𝑟−𝜌)/(1−𝑟2)/(𝑛−2)
𝜒2=∑(𝑓𝑜−𝑓𝑒)2/𝑓
𝑍=(𝑋¯−𝜇)/(𝜎/𝑛√)
𝑍=(𝑝−𝜋)/𝜋(1−𝜋)/𝑛
and the test should be a (Answer)upper-tail/ lower-tail/
two-tail test.
The critical value is ______ [give a positive value
correct to 4 decimal places].
The decision rule is then:
Reject (Answer)
H1/H0 if (Answer) test statistic NOT= critical value/
-critical value < test statistic < critical value / test
statistic < -critical value / test statistic = critical value OR
test statistic = -critical value / test statistic > critical
value / test statistic > critical value OR test statistic <
-critical value/ test statistic = critical value;
Do not reject (Answer)
H0/H1 otherwise.
From the given data, the test statistic is found to
be _____ [correct to 4 decimal places].
Hence, (Answer) H0 is rejected/ H0 is not rejected/ H1 is
rejected/ H1 is not rejected and there is (Answer)
sufficient/ insufficient evidence of a (Answer)quadratic/
linear/ curvilinear relationship between the number of
visitors in Halloween and the number of visitors in Christmas to
the amusement park at the 0.01 level of significance.