A report in 2019 showed that 65.2% of 5500 internet users use google chrome as their primary web browser. Then, the report in 2020 showed that 67% of 2800 internet users use google chrome as their primary web browser. Can you conclude use significance level of 0.01 that the proportion of internet users use google chrome as their primary web browser in 2019 is less than the proportion in 2020?
If we let:
Let μ
1be the population mean number of internet users use google chrome as their primary web browser in 2019, and μ
2be the population mean number of internet users use google chrome as their primary web browser in 2020.
Letp1be the population proportion of internet users use google chrome as their primary web browser in 2019, andp2be the population proportion of internet users use google chrome as their primary web browser in 2020.
Round to four decimal places if necessary.
a) Use "mu1" for μ1, "mu2" for μ2, "p1" for p1 and "p2" for p2.
Null hypothesis H0
:
Alternate hypothesis H1
:
b) Type of test: left or right or two
c) significance level: α =
d) Test statistic: Clearly state whether test statistic in this claim is z or t. For example, "z=1.2345"
e) Compute p-value of the test statistic.
f) Decision: Type "yes" if reject null hypothesis. Type "no" if not to reject null hypothesis.