Question

Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or ttable) $H_0$: $P_1 - P_2 = 0.20$ $H_A$: $P_1 - P_2 \neq 0.20$ $x_1 = 173$ $n_1 = 270$ $x_2 = 130$ $n_2 = 379$ a. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Answer is complete but not entirely correct. Test statistic 2.63 b. Find the $p$-value. 0.05 ? $p$-value < 0.10 $p$-value ? 0.10 $p$-value < 0.01 0.01 ? $p$-value < 0.025 0.025 ? $p$-value < 0.05

          Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or ttable)
$H_0$: $P_1 - P_2 = 0.20$
$H_A$: $P_1 - P_2 \neq 0.20$
$x_1 = 173$
$n_1 = 270$
$x_2 = 130$
$n_2 = 379$
a. Calculate the value of the test statistic. (Round final answer to 2 decimal places.)
Answer is complete but not entirely correct.
Test statistic
2.63
b. Find the $p$-value.
0.05 ? $p$-value < 0.10
$p$-value ? 0.10
$p$-value < 0.01
0.01 ? $p$-value < 0.025
0.025 ? $p$-value < 0.05

Show more…

Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or ttable)
H0: P1 - P2 = 0.20
HA: P1 - P2 ≠ 0.20
x1 = 173
n1 = 270
x2 = 130
n2 = 379
a. Calculate the value of the test statistic. (Round final answer to 2 decimal places.)
Answer is complete but not entirely correct.
Test statistic
2.63
b. Find the p-value.
0.05 ? p-value < 0.10
p-value ? 0.10
p-value < 0.01
0.01 ? p-value < 0.025
0.025 ? p-value < 0.05

Added by Kevin R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Madhur L

08/04/2023

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The significance level is typically set at 0.05, which means that if the p-value is less than 0.05, we reject the null hypothesis. Show more…

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b. Find the p-value 0.05 < p-value < 0.10 p-value < 0.10 p-value < 0.01 0.01 < p-value < 0.025 0.025 < p-value < 0.05

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