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A candy manufacturer sells bags of chocolate treats that are supposed to be half dark chocolate and half milk chocolate. The CEO opens a bag of the chocolate treats and tells his factory supervisor that he thinks that the types of chocolate are not evenly split in the bag. The supervisor randomly selects several bags, examines 300 of the chocolates, and finds that 56% of the 300 chocolates he examined are dark chocolate.Use Excel to test whether the true proportion of dark chocolates is different from 50%. Identify the p-value, rounding to three decimal places.Provide your answer below:p-value=

Question

A candy manufacturer sells bags of chocolate treats that are supposed to be half dark chocolate and half milk chocolate. The CEO opens a bag of the chocolate treats and tells his factory supervisor that he thinks that the types of chocolate are not evenly split in the bag. The supervisor randomly selects several bags, examines 300 of the chocolates, and finds that 56% of the 300 chocolates he examined are dark chocolate.

Use Excel to test whether the true proportion of dark chocolates is different from 50%. Identify the p-value, rounding to three decimal places.

Provide your answer below:

p-value=

check_circleAnswer
Step 1

A one sample  z-test must be performed to test the claim that the proportion of dark chocolates is 0.5

Null Hypothesis: Proportion of dark chocolates is p = 0.5

Alternate Hypothesis: Proportion of chocolates is not = 0.5

Step 2

Test statistic for Z-test will be given by the following formula shown below:

р-P
Z=
|Р(1-Р)
о —
п
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р-P Z= |Р(1-Р) о — п

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Step 3

P-value can be determined for test statistics (Z score) obtained using formula above. You can do the calculation on...

A
B
1 Hypothesized Proportion (P)
2 Sample proportion (p)
0.5
0.56
3 Sample size (n)
4 Standard deviation (sigma)
5 Test Statistic (Z)
6 p-value
300
=SQRT( (B1*(1-B1))/B3)
(B2-B1)/B4
=NORMSDIST(B5)
7
8
A
1 Hypothesized Proportion (P)
2 Sample proportion (p)
3 Sample size (n)
4 Standard deviation (sigma)
5 Test Statistic (Z)
6 p-value
0.5
0.56
300
0.028867513
2.078460969
o.981166539
7
co
oNco
help_outline

Image Transcriptionclose

A B 1 Hypothesized Proportion (P) 2 Sample proportion (p) 0.5 0.56 3 Sample size (n) 4 Standard deviation (sigma) 5 Test Statistic (Z) 6 p-value 300 =SQRT( (B1*(1-B1))/B3) (B2-B1)/B4 =NORMSDIST(B5) 7 8 A 1 Hypothesized Proportion (P) 2 Sample proportion (p) 3 Sample size (n) 4 Standard deviation (sigma) 5 Test Statistic (Z) 6 p-value 0.5 0.56 300 0.028867513 2.078460969 o.981166539 7 co oNco

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Math

Statistics

Hypothesis Testing

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