A research center claims that at least 30% of adults in a certain country think that their taxes will be audited. In a random sample of 600 adults in that country in a recent year, 25% say they are concerned that their taxes will be audited. At a = 0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below.

You may need to use the appropriate appendix table or technology to answer this question. Approximately 50% of all caregivers of older adults are caring for someone with memory loss (due to is percentage of caregivers caring for older adults with memory loss. This year, in a random sample of 400 caregivers, 181 were caring for older adults with memory loss uch as Alaheimer's or dementia). It is beleved that there has been a reduction in the (a) State the null and the alternative hypotheses. (Enter t for as needed.) (b) At the 0.05 level using the critical value approach, determine if there has been a significant reduction in the proportion of caregivers caring for adults with memory loss Compute the test statistk. Determine the critical value(s) for this test. (Round your answerta) to two decimal places. If the test is one-taled, enter NONE for the unused tal.) test statisticS test statistic State your condusion. O Reject Ha There is insufficient evidence to support the claim that the…

The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for areas near nuclear power plants are higher than for areas without nuclear facilities. A spokesperson for the Cancer Institute said, "From the data at hand, there was no convincing evidence of any increased risk of death from any of the cancers surveyed due to living near nuclear facilities." Let p denote the proportion of the population in areas near nuclear power plants who die of cancer during a given year. The researchers at the Cancer Institute have considered the null and alternative hypotheses below: А. Họ: p = value for areas without nuclear facilities Hạ: p> value for areas without nuclear facilities According to the spokesperson's statement, what is the conclusion of the National Cancer Institute? Select one of the following: Reject Ho Fail to reject Ho Reject Ha Fail to reject Ha

In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report their annual income. The data obtained are as follows. Georgia 33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651, 45084, 35455, 27800 Send data to calculator Indiana Annual income in dollars 29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654, 38647, 37073, 36344 Send data to Excel The population standard deviations for the annual incomes of teachers in Georgia and in Indiana are estimated as $6500 and $6350, respectively. It is also known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference between the mean annual income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (₂). Then find the lower limit and upper…