The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights than on Sunday nights. As part of the investigation, they select a random
sample of police calls from Friday nights and a random sample of police calls from Sunday nights. From both samples, they record the sample proportion of calls that involved minor traffic
accidents. Let Pp represent the proportion of all Friday night calls, and let Ps represent the proportion of all Sunday night calls. Which of the following are the correct hypotheses for the
investigation

Respuesta :

Answer:

D:

Null: Pf = Ps

Alternative: Pf > Ps

Step-by-step explanation:

Hypothesis test is the test which uses the random sample data to evaluate that whether the null hypothesis to reject or accept.The null and alternate hypothesis for the given question is,

[tex]H_0:P_f=P_s[/tex]

[tex]H_a:P_f>P_s[/tex]

Hence the option D is the correct option.

Given-

[tex]P_p[/tex] represent the proportion of all Friday night calls.

[tex]P_s[/tex] represent the proportion of all Sunday night calls.

What is hypothesis?

Hypothesis test is the test which uses the random sample data to evaluate that whether the null hypothesis to reject or accept.

As part of investigation the police taken the random sample of the Friday night and the Saturday night phone calls.

Null hypothesis [tex](H_0)[/tex] states that the parameter of two proportion are are equal to the hypothesis value.  If the proportion of all Friday night calls and proportion of all Sunday night calls is equal. Then the Null hypothesis for the investigation is,

[tex]H_0:P_f=P_s[/tex]

The alternate hypothesis states that the population parameter is smaller greater or must be different than the hypothesis value.The alternate hypothesis for the given question,

[tex]H_a:P_f>P_s[/tex]

Thus the null and alternate hypothesis for the given quyestion is,

[tex]H_0:P_f=P_s[/tex]

[tex]H_a:P_f>P_s[/tex]

Hence the option D is the correct option.

Learn more about the hypothesis here;

https://brainly.com/question/2695653