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Answer:
From the test give in the question it is obvious that there is enough evidence to show that population mean varies for vegetarian and non-vegetarian
The P-value helps affirm the null hypothesis claims,The P-value attains values relatively as large as that which exists in the sample given,if the null hypothesis is right
Step-by-step explanation:
From the question we are told that
Sample mean [tex]\=x_1=3.18[/tex]
Standard deviation [tex]\delta_! =1.72[/tex]
Sample size [tex]n_1 =51[/tex]
Sample mean [tex]\=x_2=2.22[/tex]
Standard deviation [tex]\delta_2 =0.67[/tex]
Sample size [tex]n_2=20[/tex]
Generally this is a two tailed test
therefore
Null hypothesis = [tex]h_0 :P_v_e_g= P_n_o_n_v_e_g[/tex]
Alternative hypothesis [tex]H_a : P_v_e_g \neq P_n_o_n_v_e_g[/tex]
From the test give in the question it is obvious that there is enough evidence to show that population mean varies for vegetarian and non-vegetarian
The P-value helps affirm the null hypothesis claims,The P-value attains values relatively as large as that which exists in the sample given,if the null hypothesis is right