33) Many students brag that they have more than500 friends on a social media website. To verifythis, a researcher selected a random sample ofsize 28 and found that on an average, studentshad about 535 friends. Further assume that weknow (population) standard deviation is 70. a) What are the null and the alternative hypotheses? Find the value of the test statistic and thesampling distribution under H0 in the abovecase.A. T = 0.5, T ∼ t27B. T = 2.65, T ∼ N(0, 1)C. T = 2.65, T ∼ t27D. T = 2.65, T ∼ t28b) Find the p-value of the above test.A. 0.1 < pB. 0.05 < p < 0.1C. 0.01 < p < 0.05D. 0.005 < p < 0.01E. 0.025 < p < 0.005
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
33) Many students brag that they have more than
500 friends on a social media website. To verify
this, a researcher selected a random sample of
size 28 and found that on an average, students
had about 535 friends. Further assume that we
know (population) standard deviation is 70.
a) What are the null and the alternative hypotheses?
Find the value of the test statistic and the
sampling distribution under H0 in the above
case.
A. T = 0.5, T ∼ t27
B. T = 2.65, T ∼ N(0, 1)
C. T = 2.65, T ∼ t27
D. T = 2.65, T ∼ t28
b) Find the p-value of the above test.
A. 0.1 < p
B. 0.05 < p < 0.1
C. 0.01 < p < 0.05
D. 0.005 < p < 0.01
E. 0.025 < p < 0.005
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