Mathematics, 07.06.2020 00:04 liyah450

A researcher is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample of 1500 people is taken and its determined that 92 people are unemployed. The following is the setup for this hypothesis test: H0:p=0.05 Ha:p<0.05

Required:
Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.

Answers

Answer from: leobaut6145

$\hat p=\frac{92}{1500}=0.0613$ estimated proportion of unemployed

$z=\frac{0.0613 -0.05}{\sqrt{\frac{0.05(1-0.05)}{1500}}}=2.01$

Step-by-step explanation:

Information given

n=1500 represent the random sample taken

X=92 represent the number of people unemployed

$\hat p=\frac{92}{1500}=0.0613$ estimated proportion of unemployed

p_o=0.05 is the value to value to test

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to test if the true proportion is lower than 0.05 or no and the system of hypothesis are::

Null hypothesis: $p \geq 0.5$

Alternative hypothesis: p < 0.5

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.0613 -0.05}{\sqrt{\frac{0.05(1-0.05)}{1500}}}=2.01$

Answer from: Quest

step-by-step explanation:

Answer from: Quest

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

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A researcher is investigating a government claim that the unemployment rate is less than 5%. To test...