The test statistic of $$ z=2.02 $$ is obtained when testing the claim that $$ p0.7 $$. 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 $$ \alpha=0.10 $$, should we reject $$ H_{0} $$ or should we fail to reject $$ \mathrm{H}_{0} $$ ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a right-tailed test. b. P-value $$ = $$

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The test statistic of $$ z=2.02 $$ is obtained when testing the claim that $$ p>0.7 $$. 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 $$ \alpha=0.10 $$, should we reject $$ H_{0} $$ or should we fail to reject $$ \mathrm{H}_{0} $$ ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a right-tailed test. b. P-value $$ = $$

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To address your questions step by step: ### a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Since the claim is that $$ p > 0.7 $$, this indicates that we are testing for an increase in the proportion. Therefore, the null hypothesis $$ H_0 $$ would be $$ p \leq 0.7 $$ and the alternative hypothesis $$ H_a $$ would be $$ p > 0.7 $$. This makes it a **right-tailed test**. ### b. Find the $$ P $$-value. To find the $$ P $$-value for a right-tailed test with a test statistic of $$ z = 2.02 $$, we need to look up the value in the standard normal distribution table or use a calculator. 1. First, find the area to the left of $$ z = 2.02 $$. Using the standard normal distribution table, we find: $$ P(Z < 2.02) \approx 0.9798 $$ 2. Since we are interested in the right tail, we calculate the $$ P $$-value as: $$ P(Z > 2.02) = 1 - P(Z < 2.02) = 1 - 0.9798 = 0.0202 $$ Thus, the $$ P $$-value is approximately **0.0202**. ### c. Using a significance level of $$ \alpha = 0.10 $$, should we reject $$ H_{0} $$ or should we fail to reject $$ H_{0} $$? To make a decision, we compare the $$ P $$-value to the significance level $$ \alpha $$: - $$ P $$-value = 0.0202 - $$ \alpha = 0.10 $$ Since $$ 0.0202 < 0.10 $$, we reject the null hypothesis $$ H_0 $$. ### Summary of Answers: a. This is a **right-tailed test**. b. $$ P $$-value $$ \approx 0.0202 $$. c. We should **reject $$ H_{0} $$**. a. Right-tailed test. b. P-value $$ \approx 0.0202 $$. c. Reject $$ H_{0} $$.

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a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.

b. Find the -value.

c. Using a significance level of , should we reject or should we fail to reject ?

Summary of Answers:

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