.) A recent study found 60% of Americans plan to do their Holiday shopping online this year. A Massachusetts government official believes the proportion is more in MA. A random sample of 90 MA residents revealed 56 are planning to shop online during the Holidays.  Is there enough evidence to support the claim?  Use a level of significance of 5%. Please show all work for each part and explain the answer, so i may better understand thank you  a.)The null hypothesis is: . b.)The alternative hypothesis is:  c.)The test statistic is:  d.)The critical value is:  e.)Can you reject the null hypothesis? Yes or No.  f.)State your conclusion in the context of the problem:

a. Let p denote the population proportion of correct hand selections by touch therapists. Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses. b. Identify the test statistic. c. Identify the​ P-value. d.  State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Address whether the results suggest that touch therapists are effective.

Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.29 H1: p>0.29 O B. Ho: p#0.29 H1:p=0.29 O C. Ho: p=0.29 H1:p#0.29 OD. Ho: p=0.29 H1:p<0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is . (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29%

As winter is here and I love planting my winter garden.  I have planted my winter vegetables ( Broccoli, Artichoke, Cauliflower, ect.), on average 10 neighbors plant a garden during winter. I asked 20 neighbors of they were going to plant their winter gardens and 12 of them said yes. Test this hypothesis at .05 significance level. Assume a random sample.