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Answer:
Test statistic is 0.67
Critical value is -2.33
Step-by-step explanation:
Consider the provided information.
The formula for testing a proportion is based on the z statistic.
Were is sample proportion.
hypothesized proportion and n is the smaple space,
Random sample of 100 adults, 12% say that they own a smart watch.
A company claims that less than 10% of adults own a smart watch.
Therefore, n = 100 = 0.12
,
= 0.10
Substitute the respective values in the above formula.
Hence, test statistic = 0.67
This is the left tailed test.
Now using the table the P value is:
P(z < 0.667) = 0.7476
P-value = 0.7476
Here, P-value > α therefore, we are fail to reject the null hypothesis.
Hence, Critical value is -2.33