Question

You wish to test the following claim ($H_a$) at a significance level of $\alpha = 0.10$. $H_0: p_1 = p_2$ $H_a: p_1 > p_2$ You obtain 353 successes in a sample of size $n_1 = 436$ from the first population. You obtain 359 successes in a sample of size $n_2 = 446$ from the second population. For this test, you should use the normal distribution as an approximation for the binomial distribution. What is the best statistic for this sample? (Report answer accurate to three decimal places.) test statistic = [ ] What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = [ ] The p-value is... O less than (or equal to) $\alpha$ O greater than $\alpha$ This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O At the 0.10 significance level, there is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O At the 0.10 significance level, there is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O At the 0.10 significance level, the sample data support the claim that the first population proportion is greater than the second population proportion. O At the 0.10 significance level, there is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

You wish to test the following claim ($H_a$) at a significance level of $\alpha = 0.10$.

$H_0: p_1 = p_2$
$H_a: p_1 > p_2$

You obtain 353 successes in a sample of size $n_1 = 436$ from the first population. You obtain 359 successes in a sample of size $n_2 = 446$ from the second population. For this test, you should use the normal distribution as an approximation for the binomial distribution.

What is the best statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = [ ]

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = [ ]

The p-value is...
O less than (or equal to) $\alpha$
O greater than $\alpha$

This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null

As such, the final conclusion is that...
O At the 0.10 significance level, there is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
O At the 0.10 significance level, there is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
O At the 0.10 significance level, the sample data support the claim that the first population proportion is greater than the second population proportion.
O At the 0.10 significance level, there is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

you wish to test the following claim ha at a significance level of alpha 010 h0 p1 p2 ha p1 p2 you obtain 353 successes in a sample of size n1 436 from the first population you obtai 21545

Added by Kristen P.

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