Question

An economist was comparing unemployment rates between states. A random sample of 1000 adults in Alaska showed that 70 were unemployed, and a random sample of 1000 adults in Minnesota showed that 30 were unemployed.

I need help for this plssssss​

Answer 1

Answer:

P -Value  is between,

0.01  ≤  P -Value  <  0.05

Step-by-step explanation:

Step 1: A hypothesis is a theory put up to explain a phenomena. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are often based on prior findings that cannot be adequately explained by the current body of knowledge.

Step 2: The term "commission" describes the payment made to an employee when they successfully complete a task, which is frequently selling a predetermined quantity of goods or services. Selling goods or services is difficult. Sales and marketing professionals must contend with fierce competition.

Step 3:  Significance level $(\alpha)=0.1$

$\begin{aligned}\text { Sample Proportion }(\hat{P} 1)= & X 1 / n 1=28 / 800 \\\hat{P} 1 & =0.04\end{aligned}$

$\begin{aligned}\text { Sample Proportion }(\hat{P} 2) & =X 2 / n 2=20 / 800 \\\hat{\mathbf{P}} 2 & =0.025\end{aligned}$

$\text { Pooled Proportion } \begin{aligned}(\hat{P}) & =\quad(\mathrm{X} 1+\mathrm{X} 2) /(\mathrm{n} 1+\mathrm{n} 2) \\& =(28+20) /(800+800)\end{aligned}$

Pooled Proportion $(\hat{\mathbf{P}})=0.03$

Hypothesis :-

$\begin{aligned}& \text { Ho: Pmn - P2wi }=0 \\& \text { Ha: Pmn - Pwi } > 0\end{aligned}$

Test Statistic :-

$\begin{aligned}Z & =(\hat{P} 1-\hat{P} 2) / V\left(\hat{P}^*(1-\hat{P})^*(1 / n 1+1 / n 2)\right. \\& =(0.04-0.025) / V\left(0.03 *(1-0.03)^*(1 / 800+1 / 800)\right. \\Z & =1.76\end{aligned}$

P - Value :- By using Standard Normal table, at ' Z ' =1.76

$\begin{aligned}P(Z > 1.76) & =1-P(Z < 1.76) \\P(Z > 1.76) & =1-0.9608 \\P(Z > 1.76) & =0.0392 \\P-\text { Value } & =0.0392\end{aligned}$

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