Math  /  Data & Statistics

Questionon list The test statistic of z=1.45z=1.45 is obtained when testing the claim that p0.719p \neq 0.719. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P -value. c. Using a significance level of α=0.01\alpha=0.01, should we reject H0H_{0} or should we fail to reject H0\mathrm{H}_{0} ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. on 2 \qquad on 3 a. This is a two-tailed test. b. PP-value == \square (Round to three decimal places as needed.)
Standard Normal Distribution Table (Page 2)
Standard Normal (z) Distribution: Cumulative Area from the LEFT \begin{tabular}{|c|cccccccc|} \hlinezz & .00 & .01 & .0R.0 R & .03 & .04 & .05 & .06 & .07 \\ \hline 0.0 & .5000 & .5040 & .5080 & .5120 & .5160 & .5199 & .5239 & .5279 \\ 0.1 & .5398 & .5438 & .5478 & .5517 & .5557 & .5596 & .5636 & .5675 \\ 0.2 & .5793 & .5832 & .5871 & .5910 & .5948 & .5987 & .6026 & .6064 \\ 0.3 & .6179 & .6217 & .6255 & .6293 & .6331 & .6368 & .6406 & .6443 \\ 0.4 & .6564 & .6591 & .6628 & .6684 & .6700 & .6736 & .6772 & .6808 \\ 0.5 & .6975 & .6960 & .6985 & .7019 & .7064 & .7088 & .7123 & .7157 \\ 0.6 & .7257 & .7291 & .7324 & .7357 & .7389 & .7422 & .7454 & .7486 \\ 0.7 & .7580 & .7611 & .7642 & .7673 & .7704 & .7734 & .7764 & .7794 \\ 0.8 & .7881 & .7910 & .7939 & .7967 & .7995 & .8023 & .8051 & .8078 \\ 0.9 & .8159 & .8186 & .8212 & .8238 & .8264 & .8289 & .8315 & .8340 \\ 10 & 8413 & 8438 & .8461 & .8485 & .8508 & .8531 & .8554 & .8577 \\ \hline \end{tabular}

Studdy Solution
Compare the P-value with the significance level α=0.01 \alpha = 0.01 .
Since 0.147>0.01 0.147 > 0.01 , we fail to reject H0 H_0 .
The P-value is 0.147 \boxed{0.147} , and we fail to reject H0 H_0 .

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