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Find the value of the standard? score, z, and determine whether the alternative hypothesis is supported at a 0.05 significance level.

Upper H Subscript a?: munot equals37.5?, nequals400?, x overbarequals37.3?, sigmaequals0.7

The value of the standard score is nothing.? (Round to the nearest hundredth as? needed.)

Choose the correct answer below.

A. The alternative hypothesis is supported.

B. The alternative hypothesis is not supported.

The critical values for a two-tailed z-test with alpha = 0.05 are z = -1.96 and z = +1.96. Since the z-score of -5.714 is not between the two critical values, the decision would be to reject the null hypothesis, which means that the alternative hypothesis is supported.

Assume that male births and female births are equally likely. The following table shows the probabilities of various numbers of male babies in a random sample of 100 births. A random sample of 100 births has 33 male babies. Is this result significant at the 0.01 level? What is the P-value for this result?

Number of males among 100

Probability

35 or fewer

0.002

40 or fewer

0.028

45 or fewer

0.184

48 or fewer

0.382

Is this result significant at the 0.01 ?level?

Yes

No

What is the? P-value for this? result?

A.

less than 0.028

B.

0.002

C.

less than 0.002

D.

0.028

Without using the terms? “null hypothesis” and? “alternative hypothesis”, identify the type I error and identify the type II error.

Upper H 0?: The lottery is fair.

Upper H Subscript a?: The lottery is biased.

Choose the correct answer below.

A.

Type I error and Type II? error: Reject the claim that the lottery is fair when the lottery is fair.

B.

Type I? error:

Reject the claim that the lottery is fair when the lottery is fair.

Type II? error:

Fail to reject the claim that the lottery is fair when the lottery is biased.

C.

Type I? error:

Fail to reject the claim that the lottery is fair when the lottery is biased.

Type II? error: reject the claim that the lottery is fair when the lottery is fair

One experiment conducted a clinical trial of a method for gender selection. According to this? experiment, 345 babies had been born to parents using the new method to increase the probability of conceiving a? girl, and 311 of those babies were girls. Discuss whether these results appear to be statistically significant.Do these results appear to be statistically? significant?A. Yes

B. No

Assume that the population means are to be estimated from the samples described. Use the sample results to approximate the margin of error and 95% confidence interval.Sample size = 1,052

Sample mean = $46,240

Sample standard deviation = $25,000The margin of error is ………..$

(round to the nearest dollar as needed)Find the 95% confidence interval………..

(round to the nearest dollar as needed)

Consider the scatter diagram in figure to the right.

a. Which point is an? outlier? Ignoring the? outlier, estimate or compute the correlation coefficient for the remaining points.

b. Now include the outlier. How does the outlier affect the correlation? coefficient? Estimate or compute the correlation coefficient for the complete data set.0.0

0.4

0.8

1.2

1.6

0.0

0.4

0.8

1.2

1.6

A scatterplot with horizontal axis from 0.0 to 1.6 in increments of 0.4 and vertical axis labeled from 0.0 to 1.6 in increments of 0.4 contains 10 plotted points. 9 of the points are plotted in three columns of three points each. The three columns have horizontal coordinates 0.8, 1.0, and 1.2, respectively. The vertical coordinates of the three points in each column are 0.4, 0.6, and 0.8. The remaining point is plotted far above and to the left of the rest, at (0.2, 1.4).

a. The outlier is the point

nothing.

?(Type an ordered pair. Round to the nearest tenth as? needed).

Ignoring the? outlier, compute the correlation coefficient for the remaining points. Choose the correct answer below.

A.

0.50

B.

1.00

C.

0.00

D.

minus1.00

b. Now include the outlier. How does the outlier affect the correlation? coefficient? Choose the correct answer below.

A.

The outlier does not affect the correlation coefficient.

B.

The outlier makes the correlation coefficient positive.

C.

The outlier makes the correlation coefficient negative.

Compute the correlation coefficient for the complete data set. Choose the correct answer below.

A.

negative 0.35

B.

0.71

C.

0.24

D.

negative 0.71

State the null and the alternative hypotheses. Choose the correct answer below.

A.

The alternative? hypothesis: Improvement is independent of whether the participant was given the drug or a placebo.

The null? hypothesis: Improvement and treatment? (drug or? placebo) are somehow related.

B.

The null? hypothesis: Improvement is independent of whether the participant was given the drug or a placebo.

The alternative? hypothesis: Improvement and treatment? (drug or? placebo) are somehow related.