Asurvey was conducted on a group of people. The first question asked how many pets they each own. The results are summarized in the following table.
able[[Number of pets owned,0,1,2,3,4,5],[Number of people,20,45,40,30,20,5]]
(a) Write down the total number of people, from this group, who are pet owners.
(b) Write down the modal number of pets.
(c) For these data, write down
(i) the median number of pets;
(ii) the lower quartile;
(iii) the upper quartile.
The second question asked each member of the group to state their age and preferred pet. The data obtained is organized in the following table.
able[[,Age],[Preferred pet,Teenager,Non-teenager],[cat,23,32],[dog,35,23],[bird,16,13],[other,11,7]]
(d) Write down the ratio of teenagers to non-teenagers in its simplest form.
A chi ^(2) test is carried out at the 10% significance level.
(e) State
(i) the null hypothesis;
(ii) the alternative hypothesis.
(f) Write down the number of degrees of freedom for this test:
(g) Calculate the expected number of teenagers that prefer cats.
(h) Use your graphic display calculator to find the p-value for this test.
(i) State the conclusion for this test. Give a reason for your answer.
need. help in e ,f g h and i
Asurvey was conducted an a group of people. The first question asked how many pets they each own. The results are summarized in the following table.
Number of pets owned Number of people 20
45
40
30
20
(a) Write down the total number of people, from this group, who are pet owners.
(b) Write down the modal number of pets.
(c) For these data, write down
(0
the median number of pets;
(ii) the lower quartile;
(iii) the upper quartile.
The data obtained is organized in the following table
Age Teenager Non-teenager 23 32 35 23 91 13 11 7
Preferred pet
dog bid other
(d
Write down the ratio of teenagers to non-teenagers in its simplest form.
A y test is carried out at the 10% significance level
(e) State
(i)
the null hypothesis;
(ii) the alternative hypothesis.
(f) Write down the number of degrees of freedom for this test.
(g) Calculate the expected number of teenagers that prefer cats.
(h) Use your graphic display calculator to find the p-value for this test.
(i)
State the conclusion for this test. Give a reason for your answer
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