Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). The test statistic in a two-tailed test is z = -1.63.

a. 0.1031; fail to reject the null hypothesis
b. 0.0516; reject the null hypothesis
c. 0.9484; fail to reject the null hypothesis
d. 0.0516; fail to reject the null hypothesis

a. 0.1031; fail to reject the null hypothesis

Step-by-step explanation:

Given: Significance level :

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test : [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value >

So, we fail to reject the null hypothesis. [When p< then we reject null hypothesis  ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total