A Pew Research Center Poll of 1060 teens aged 13 to 17 showed that 57% of them have made new friends online. Use a 0.01 significance level to test the claim that half of all teens have made new friends online.

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 285 people over the age of 55, 68 dream in black and white, and among 307 people under the age of 25, 14 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation?   A. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.   B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.   C. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in…

Because the confidence interval limits v 0, it appears that the two proportions are V Because the confidence interval limits include V values, it appears that the proportion of people over 55 who dream in black and white is V the proportion for those under 25. c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? O A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. O B. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference. O C. Yes. The results can be used to verify the given explanation because difference in proportions is…

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 300 people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ = P₂ H₁: P₁ P2 O D. Ho: P₁ #P₂ H₁: P₁ = P2 Identify the test statistic. z=0 Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a = 0.01, so…

About 7% of the popular has a mutation. 100 people are randomly selected. What is the mean for the number of people with a mutation?

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 318 people over the age of 55, 77 dream in black and white, and among 298 people under the age of 25, 16 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. H4: P1 P2 H: P1 #P2 O D. Ho: P1 SP2 H1: P1#P2 O E. Ho: P1 P2 H1: P1 = P2 O F. Ho: P1 =P2 H1: P1 #P2 Identify the test statistic. z= 6.52 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a = 0.05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion…

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 300 people over the age of 55,80 dream in black and white, and among 287 people under the age of 25, 14 dreams in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation?

Assume that 900 births are randomly selected and 443 of the births are girls. Use subjective judgment to describe the number of girls as significantly​ high, significantly​ low, or neither significantly low nor significantly high.

A survey of 2255 randomly selected US adults found that 51% said they know all or most of their neighbors. Does this provide evidence that more than half of US adults know most or all of their neighbors? Use 5% significance level.

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 320 people over the age of​ 55, 72 dream in black and​ white, and among 313 people under the age of​ 25, 15 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts​ (a) through​ (c) below.   a. Test the claim using a hypothesis test.   Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis​ test?     A. H0​: p1=p2 H1​: p1≠p2   B. H0​: p1=p2 H1​: p1>p2   C. H0​: p1≥p2 H1​: p1≠p2   D. H0​: p1≠p2 H1​: p1=p2   E. H0​: p1≤p2 H1​: p1≠p2   F. H0​: p1=p2 H1​:p1<p2         Identify the test statistic.   z=_____ ​(Round to…