Question

1. the claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statistics include ( n = 696 ) drowning deaths of children with 30% of them attributable to beaches.

a) -3.05 b) -2.88 c) 3.05 d) 2.88
use the given information to find the p - value. also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).

1. the test statistic in a right - tailed test is ( z = 1.43 ).

a) 0.1528; reject the null hypothesis b) 0.0764; reject the null hypothesis
c) 0.1528; fail to reject the null hypothesis d) 0.0764; fail to reject the null hypothesis

1. the test statistic in a left - tailed test is ( z = - 2.05 ).

a) 0.4798; fail to reject the null hypothesis b) 0.0404; reject the null hypothesis
c) 0.0202; reject the null hypothesis d) 0.0453 fail to reject the null hypothesis

1. the test statistic in a two - tailed test is ( z = - 1.63 ).

a) 0.0516; reject the null hypothesis b) 0.1032; fail to reject the null hypothesis
c) 0.0516; fail to reject the null hypothesis d) 0.9484; fail to reject the null hypothesis

1. with ( h_1:p

eq3/5 ), the test statistic is ( z = 0.78 ).
a) 0.2177; reject the null hypothesis b) 0.4354; reject the null hypothesis
c) 0.2177 fail to reject the null hypothesis d) 0.4354; fail to reject the null hypothesis

1. with ( h_1:p > 0.554 ), the test statistic is ( z = 1.34 ).

a) 0.9099; fail to reject the null hypothesis b) 0.0901; reject the null hypothesis
c) 0.0901; fail to reject the null hypothesis d) 0.1802; reject the null hypothesis
formulate the indicated conclusion in nontechnical terms. be sure to address the original claim.

1. carter motor company claims that its new sedan, the libra, will average better than 32 miles per gallon in the city. assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

a) there is not sufficient evidence to support the claim that the mean is less than 32 miles per gallon.
b) there is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
c) there is not sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
d) there is sufficient evidence to support the claim that the mean is less than 32 miles per gallon.

Explanation:

Step1: Find P - value for right - tailed test

For a right - tailed test with \(z = 1.43\), we look up the value in the standard normal table. The area to the left of \(z = 1.43\) is \(0.9236\). So the P - value is \(1-0.9236=0.0764\).

Step2: Compare P - value with significance level

Since the significance level \(\alpha = 0.05\) and \(P - value=0.0764>0.05\), we fail to reject the null hypothesis.

Answer:

D. 0.0764; fail to reject the null hypothesis