Answer:
Doubtful.
Step-by-step explanation:
Our values are,
[tex]P=0.15 \rightarrow 15\%[/tex]Jelly Bean Mix.
The sample for us is n=200
And our proportion (x) is 40 .
We can calculate with this dates the sample proportion and make he test statistic.
[tex]p=\frac{x}{n} = \frac{40}{200} = 0.20[/tex]
[tex]H_0:P=0.15[/tex]
[tex]H_1:P \neq 0.15[/tex]
We use the formula for Test statistic, that is given by,
[tex]z= \frac{p-P}{\sqrt{\frac{P-(1-P)}{n}}}[/tex]
[tex]z= \frac{0.20-0.15}{\sqrt{\frac{0.15(1-0.15)}{200}}}[/tex]
[tex]z= 1.98[/tex]
We see that our P-value: 0.048 (From the Table)
We note that p-value is less than 0.05, so we should to rejecyt the null hypothesis and conclude that the calim is doubtful
