Claim: Most adults would erase all of their personal information online if they could. A GFI Software survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Find the value of the test statistic.

The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of p > 0.5, which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, 0.95, 0.05, 0.01 , 0.001? Why?

Claim: Most adults would erase all of their personal information online if they could. A GFI Software survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

The test statistic of z = 1.00 is obtained when testing the claim that p > 0.3. Find the P-value.

Claim: The mean pulse rate (in beats per minute, or bpm) of adult males is equal to 69 bpm. For the random sample of 153 adult males, the mean pulse rate is 69.6 bpm and the standard deviation is 11.3 bpm. Identify the null and alternative hypotheses.

A formal hypothesis test is to be conducted using the claim that the mean height of men is equal to 174. l cm. Is it possible to conclude that "there is sufficient evidence to support the claim that the mean height of men is equal to 174.1 cm"?

You place two cans of regular soda and two cans of diet soda in a container full of water. The two regular cans sink, but the two diet cans float. Research the contents of regular soda and dict soda. Then make a conjecture about why the diet cans float, but the regular cans sink. Include a discussion of density and buoyancy in your explanation.

Make a decision about the given claim. Use only the rare event rule stated in the mentioned section, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 beads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors beads.

Claim: The mean pulse rate (in beats per minute) of students of the author is less than 75. A simple random sample of students has a mean pulse rate of 74.4.

A bottle contains a label stating that it contains Spring Valley pills with 500 mg of vitamin C, and another bottle contains a label stating that it contains Bayer pills with 325 mg of aspirin . When testing claims about the mean contents of the pills, which would have more serious implications: rejection of the Spring Valley vitamin C claim or rejection of the Bayer aspirin claim? Is it wise to use the same significance level for hypothesis tests about the mean amount of vitamin C and the mean amount of aspirin?

Claim: The mean pulse rate (in beats per minute, or bpm) of adult males is equal to 69 bpm. For the random sample of 153 adult males, the mean pulse rate is 69.6 bpm and the standard deviation is 11.3 bpm. Express the original claim in symbolic form.

Claim: The standard deviation of pulse rates of adult males is more than 11 bpm. For the random sample of 153 adult males the pulse rate have a standard deviation of 11 .3 bpm. Find the value of the test statistic.

Use the relatively small number of given bootstrap samples to construct the confidence interval. Here is a sample of amounts of weight change (kg) of college students in their fres hman year : 11, 3, 0, -2, where -2 represents a loss of 2 kg and positive values represent weight gained. Here are ten bootstrap samples: {11, 11, 11, 0}, { 11, -2, 0, 11}, { 11 , -2, 3, 0}, {3, -2, 0, 11 }, {0, 0, 0, 3 }, { 3, -2, 3, -2}, { 11, 3, -2, 0}, { -2, 3, -2, 3}, { -2, 0, -2, 3}, { 3, 11, 11 , 11} . Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population.

Find the sample size required to estimate the population mean. Ages of 147 randomly selected adult females, and those ages have a standard deviation of 17.7 years. Assume that ages of female statistics students have less variation than ages of females in the general popul ation, so let $\sigma$ = 17. 7 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that ages of female statistics students have less variation than ages of females in the general population?

Make a decision about the given claim. Use only the rare event rule stated in the mentioned section, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 beads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors beads.

Claim: The proportion of households with telephones is greater than the proportion of 0.35 found in the year 1920. A recent simple random sample of 2480 households results in a proportion of 0.955 households with telephones (based on data from the U.S. Census Bureau).