Asurvey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. an ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip. find the p-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance. p-value:

0.1356661

Step-by-step explanation:

Let p be the population proportion.

By the given information, we have

Null Hypothesis:

Alternative Hypothesis :

Since , the alternative hypothesis is right-tailed , then the test is a right -tailed test.

Given : Sample size : n= 190

Number of customers stated their preference for mint chocolate chip : 15

The , the sample proportion :

Test statistic for proportion:

i.e  

By using the standard normal distribution table for z-score , we have

P-value for right tailed test :

i.e.

0.1356661

Step-by-step explanation:

A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip. Therefore, the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance is 0.1356661.

The solution is and

Step-by-step explanation:

The expression is

Multiplying the term by , we get,

Adding both sides by 1,

Taking factor, we get,

Equating the factors to 0,

and

Thus, the smaller value is

The solution is and